Knowledge (XXG)

Operations research

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research (modernly known as 'analytics') relies upon stochastic variables and a therefore access to truly random numbers. Fortunately, the cybernetics field also required the same level of randomness. The development of increasingly better random number generators has been a boon to both disciplines. Modern applications of operations research includes city planning, football strategies, emergency planning, optimizing all facets of industry and economy, and undoubtedly with the likelihood of the inclusion of terrorist attack planning and definitely counterterrorist attack planning. More recently, the research approach of operations research, which dates back to the 1950s, has been criticized for being collections of mathematical models but lacking an empirical basis of data collection for applications. How to collect data is not presented in the textbooks. Because of the lack of data, there are also no computer applications in the textbooks.
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aircraft a long way from the target it had time to alter course under water so the chances of it being within the 20-foot kill zone of the charges was small. It was more efficient to attack those submarines close to the surface when the targets' locations were better known than to attempt their destruction at greater depths when their positions could only be guessed. Before the change of settings from 100 to 25 feet, 1% of submerged U-boats were sunk and 14% damaged. After the change, 7% were sunk and 11% damaged; if submarines were caught on the surface but had time to submerge just before being attacked, the numbers rose to 11% sunk and 15% damaged. Blackett observed "there can be few cases where such a great operational gain had been obtained by such a small and simple change of tactics".
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acceptable reduces aircraft performance. Their suggestion to remove some of the crew so that an aircraft loss would result in fewer personnel losses, was also rejected by RAF command. Blackett's team made the logical recommendation that the armor be placed in the areas which were completely untouched by damage in the bombers who returned. They reasoned that the survey was biased, since it only included aircraft that returned to Britain. The areas untouched in returning aircraft were probably vital areas, which, if hit, would result in the loss of the aircraft. This story has been disputed, with a similar damage assessment study completed in the US by the
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operations in the grey North Atlantic skies. Tests showed that aircraft painted white were on average not spotted until they were 20% closer than those painted black. This change indicated that 30% more submarines would be attacked and sunk for the same number of sightings. As a result of these findings Coastal Command changed their aircraft to using white undersurfaces.
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they could overwhelm the night fighters who flew in individual cells directed to their targets by ground controllers. It was then a matter of calculating the statistical loss from collisions against the statistical loss from night fighters to calculate how close the bombers should fly to minimize RAF
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was noted and the recommendation was given that armor be added in the most heavily damaged areas. This recommendation was not adopted because the fact that the aircraft were able to return with these areas damaged indicated the areas were not vital, and adding armor to non-vital areas where damage is
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In the decades after the two world wars, the tools of operations research were more widely applied to problems in business, industry, and society. Since that time, operational research has expanded into a field widely used in industries ranging from petrochemicals to airlines, finance, logistics, and
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The "exchange rate" ratio of output to input was a characteristic feature of operational research. By comparing the number of flying hours put in by Allied aircraft to the number of U-boat sightings in a given area, it was possible to redistribute aircraft to more productive patrol areas. Comparison
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to detect. On the other hand, large convoys could deploy more warships against an attacker. Blackett's staff showed that the losses suffered by convoys depended largely on the number of escort vessels present, rather than the size of the convoy. Their conclusion was that a few large convoys are more
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The modern field of operational research arose during World War II. In the World War II era, operational research was defined as "a scientific method of providing executive departments with a quantitative basis for decisions regarding the operations under their control". Other names for it included
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characterized the field of management science as "the business use of operations research". Like operational research itself, management science (MS) is an interdisciplinary branch of applied mathematics devoted to optimal decision planning, with strong links with economics, business, engineering,
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by increasing the training ratio from 4 to 10 percent of flying hours; revealed that wolf-packs of three United States submarines were the most effective number to enable all members of the pack to engage targets discovered on their individual patrol stations; revealed that glossy enamel paint was
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were changed from 100 to 25 feet, the kill ratios would go up. The reason was that if a U-boat saw an aircraft only shortly before it arrived over the target then at 100 feet the charges would do no damage (because the U-boat wouldn't have had time to descend as far as 100 feet), and if it saw the
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to hunt and destroy submarines, one of the analysts asked what colour the aircraft were. As most of them were from Bomber Command they were painted black for night-time operations. At the suggestion of CC-ORS a test was run to see if that was the best colour to camouflage the aircraft for daytime
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system to reduce shipping losses, but while the principle of using warships to accompany merchant ships was generally accepted, it was unclear whether it was better for convoys to be small or large. Convoys travel at the speed of the slowest member, so small convoys can travel faster. It was also
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gave important impulses for the spread of Operations Research in Western Europe; NATO headquarters (SHAPE) organised four conferences on OR in the 1950s – the one in 1956 with 120 participants – bringing OR to mainland Europe. Within NATO, OR was also known as "Scientific Advisory" (SA) and was
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to improve an organization's ability to enact rational and meaningful management decisions by arriving at optimal or near-optimal solutions to sometimes complex decision problems. Management scientists help businesses to achieve their goals using the scientific methods of operational research.
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The management scientist's mandate is to use rational, systematic, science-based techniques to inform and improve decisions of all kinds. Of course, the techniques of management science are not restricted to business applications but may be applied to military, medical, public administration,
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With the development of computers over the next three decades, Operations Research can now solve problems with hundreds of thousands of variables and constraints. Moreover, the large volumes of data required for such problems can be stored and manipulated very efficiently." Much of operations
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In the 1950s and 1960s, chairs of operations research were established in the U.S. and United Kingdom (from 1964 in Lancaster) in the management faculties of universities. Further influences from the U.S. on the development of operations research in Western Europe can be traced here. The
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Petropoulos, Fotios; Laporte, Gilbert; Aktas, Emel; Alumur, Sibel A.; Archetti, Claudia; Ayhan, Hayriye; Battarra, Maria; Bennell, Julia A.; Bourjolly, Jean-Marie; Boylan, John E.; Breton, Michèle; Canca, David; Charlin, Laurent; Chen, Bo; Cicek, Cihan Tugrul (27 December 2023).
1507:: Founded in 1975 and is presently by far the largest operational research journal in the world, with its around 9,000 pages of published papers per year. In 2004, its total number of citations was the second largest amongst Operational Research and Management Science journals; 889:
Project production activities: managing the flow of work activities in a capital project in response to system variability through operations research tools for variability reduction and buffer allocation using a combination of allocation of capacity, inventory and
456:" (CH). Initially, Rowe analysed the operating of the radar equipment and its communication networks, expanding later to include the operating personnel's behaviour. This revealed unappreciated limitations of the CH network and allowed remedial action to be taken. 2196:(AORG) that existed from 1946 to 1962. "In January 1962 the name was changed to Army Operational Research Establishment (AORE). Following the creation of a unified Ministry of Defence, a tri-service operational research organisation was established: the 765:
to ORSA, which soon had more than 500 members. In the 1960s, ORSA reached 8000 members. Consulting companies also founded OR groups. In 1953, Abraham Charnes and William Cooper published the first textbook on Linear Programming.
761:(ORSA) in 1952 and the Institute for Management Science (TIMS) in 1953. Philip Morse, the head of the Weapons Systems Evaluation Group of the Pentagon, became the first president of ORSA and attracted the companies of the 222:. Nearly all of these techniques involve the construction of mathematical models that attempt to describe the system. Because of the computational and statistical nature of most of these fields, OR also has strong ties to 729:
With expanded techniques and growing awareness of the field at the close of the war, operational research was no longer limited to only operational, but was extended to encompass equipment procurement, training,
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A systems analyst who contributes in the area of DSS must be skilled in such areas as management science (synonymous with decision science and operation research), modeling, simulation, and advanced statistics.
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authoritative OR textbooks from the U.S. were published in Germany in German language and in France in French (but not in Italian), such as the book by George Dantzig "Linear Programming"(1963) and the book by
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government, moving to a focus on the development of mathematical models that can be used to analyse and optimize sometimes complex systems, and has become an area of active academic and industrial research.
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Richard Vahrenkamp: Mathematical Management – Operations Research in the United States and Western Europe, 1945 – 1990, in: Management Revue – Socio-Economic Studies, vol. 34 (2023), issue 1, pp. 69–91
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that may prove useful in helping to illuminate management issues and solve managerial problems, as well as designing and developing new and better models of organizational excellence.
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and infrastructure. Operations research also grew in many areas other than the military once scientists learned to apply its principles to the civilian sector. The development of the
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Maurice W. Kirby (Operational Research Society (Great Britain)). Operational Research in War and Peace: The British Experience from the 1930s to 1970, Imperial College Press, 2003.
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et al. "Introduction to Operations Research"(1957). The latter was also published in Spanish in 1973, opening at the same time Latin American readers to Operations Research.
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winners and many other people who went on to be pre-eminent in their fields. They undertook a number of crucial analyses that aided the war effort. Britain introduced the
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more effective camouflage for night fighters than conventional dull camouflage paint finish, and a smooth paint finish increased airspeed by reducing skin friction.
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grouped together in the Advisory Group of Aeronautical Research and Development (AGARD). SHAPE and AGARD organized an OR conference in April 1957 in Paris. When
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may not be appropriate or may not suffice. Therefore, during the past 30 years, a number of non-quantified modeling methods have been developed. These include:
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laid per ship sunk was common to several campaigns: German mines in British ports, British mines on German routes, and United States mines in Japanese routes.
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which provides an introduction to OR and examples of successful applications of OR to industrial problems. This initiative has been adopted by the
2624: 4242: 3153: 1233:, military branches, and government. The range of problems and issues to which it has contributed insights and solutions is vast. It includes: 413:'s broad gauge. Beginning in the 20th century, study of inventory management could be considered the origin of modern operations research with 3593: 3717: 1381:(INFORMS) publishes thirteen scholarly journals about operations research, including the top two journals in their class, according to 2005 4687: 1580: 1543: 4904: 433:
brought operational research to bear on problems in physics in the 1920s and would later attempt to extend these to the social sciences.
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close to 1,000 men and women in Britain were engaged in operational research. About 200 operational research scientists worked for the
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Assignment (assigning crew to flights, trains or buses; employees to projects; commitment and dispatch of power generation facilities)
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problems. Because of its emphasis on practical applications, operations research has overlapped with many other disciplines, notably
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In 2004, the US-based organization INFORMS began an initiative to market the OR profession better, including a website entitled
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Robert J. Thierauf & Richard A. Grosse, "Decision Making Through Operations Research", John Wiley & Sons, INC, 1970
2174:"Operational Research in the British Army 1939–1945", October 1947, Report C67/3/4/48, UK National Archives file WO291/1301 4310: 4221: 3668: 2735: 2524: 1816: 1777: 1733: 1444: 1334:
for operational research societies worldwide, representing approximately 50 national societies including those in the US,
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Facility location (deciding most appropriate location for new facilities such as warehouses; factories or fire station)
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https://www.researchgate.net/publication/312602707_New_Era_of_Project_Delivery_-_Project_as_Production_System
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The major sub-disciplines (but not limited to) in modern operational research, as identified by the journal
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Some of the fields that have considerable overlap with Operations Research and Management Science include:
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In the 1950s, the term Operations Research was used to describe heterogeneous mathematical methods such as
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Bomber Command's Operational Research Section (BC-ORS), analyzed a report of a survey carried out by
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Finding the optimal parameter (weights) setting of an algorithm that generates the realisation of a
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Mathematical Management – Operations Research in the United States and Western Europe, 1945 – 1990
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worked for several different organizations during the war. Early in the war while working for the
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techniques and methods applied in the pursuit of improved decision-making and efficiency, such as
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Management is also concerned with so-called soft-operational analysis which concerns methods for
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rounds needed to shoot down an enemy aircraft from an average of over 20,000 at the start of the
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The application of these models within the corporate sector became known as management science.
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On land, the operational research sections of the Army Operational Research Group (AORG) of the
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in standard RAF green/dark earth/black night bomber finish as originally used by Coastal Command
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Mangel, Marc; Samaniego, Francisco J (1984). "Abraham Wald's Work on Aircraft Survivability".
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in 1913. Operational research may have originated in the efforts of military planners during
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Other work by the CC-ORS indicated that on average if the trigger depth of aerial-delivered
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in 1840, and to studies into the dynamical behaviour of railway vehicles in defence of the
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of exchange rates established "effectiveness ratios" useful in planning. The ratio of 60
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Journal of Defense Modeling and Simulation (JDMS): Applications, Methodology, Technology
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Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability
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Determining optimal prices, in many retail and B2B settings, within the disciplines of
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compositions (classical music) by using weighted local cost and transition cost rules
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operational analysis (UK Ministry of Defence from 1962) and quantitative management.
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Operational research (OR) encompasses the development and the use of a wide range of
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Game Theory (identifying, understanding; developing strategies adopted by companies)
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Taha, Hamdy A., "Operations Research: An Introduction", Pearson, 10th Edition, 2016
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P. W. Bridgman, The Logic of Modern Physics, The MacMillan Company, New York, 1927.
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Occupational Outlook Handbook, U.S. Department of Labor Bureau of Labor Statistics
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in the UK in 1937 as the result of an initiative of the station's superintendent,
3609:, History of Mathematics, Vol. 4, Providence, American Mathematical Society, 1990 405:'s research into the cost of transportation and sorting of mail led to England's 5454: 5366: 5246: 5098: 5012: 4747: 4411: 4334: 4155: 4150: 4140: 4075: 3815: 3702: 3461:
L. V. Kantorovich, "Mathematical Methods of Organizing and Planning Production"
3018: 2709: 1168: 1124: 1119: 1109: 1086: 899:: automating or integrating robotic systems in human-driven operations processes 746: 561: 480: 422: 382: 289: 279: 1261:
Telecom & Data Communication Engineering (packet routing; timing; analysis)
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US perspective completely neglected, George Dantzig gets a passing mention only
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M.S. Sodhi, "What about the 'O' in O.R.?" OR/MS Today, December, 2007, p. 12,
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Hydraulics & Piping Engineering (managing flow of water from reservoirs)
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The Institute for Operations Research and the Management Sciences (INFORMS)
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History of Mathematical Programming: A Collection of Personal Reminiscences
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In 1941, Blackett moved from the RAE to the Navy, after first working with
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Applications are abundant such as in airlines, manufacturing companies,
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H. W. Kuhn, A. W. Tucker, "Nonlinear Programming," pp. 481–492 in
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Milkman, Raymond H. (May 1968). "Operation Research in World War II".
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Wallis, W. Allen (1980). "The Statistical Research Group, 1942–1945".
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Quoted on the dust-jacket of: Morse, Philip M, and Kimball, George E,
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Operations Analysis in the U.S. Army Eighth Air Force in World War II
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Charles C. Holt, Franco Modigliani, John F. Muth, Herbert A. Simon,
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Search and Screening: General Principles and Historical Applications
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Discipline concerning the application of advanced analytical methods
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Decisions with Multiple Objectives: Preferences and Value Tradeoffs
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Management Models and Industrial Applications of Linear Programming
2180:, 1st edition revised, MIT Press & J Wiley, 5th printing, 1954. 2030: 1576:, the official journal of the Brazilian Operations Research Society 1352:
Interservice/Industry Training, Simulation and Education Conference
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An Annotated Timeline of Operations Research: An Informal History
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Operational research is also used extensively in government where
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Pascal's and Huygens's game-theoretic foundations for probability
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H. W. Kuhn, "The Hungarian Method for the Assignment Problem,"
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Computer Network Engineering (packet routing; timing; analysis)
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Employing techniques from other mathematical sciences, such as
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O. R. in World War 2: Operational Research Against the U-boat
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Institute for Operations Research and the Management Sciences
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Management science is concerned with developing and applying
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J. K. Lenstra, A. H. G. Rinnooy Kan, A. Schrijver (editors)
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Management Science: The Business Use of Operations Research
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International Federation of Operational Research Societies
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Zuckerman, Solly (1964). "In the Beginning -- And Later".
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International Federation of Operational Research Societies
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C. West Churchman, Russell L. Ackoff & E. L. Arnoff,
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The University of Tennessee, 2006. Retrieved 5 June 2008.
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Health Services (information and supply chain management)
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charitable groups, political groups or community groups.
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Profiles in Operations Research: Pioneers and Innovators
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These are listed in alphabetical order of their titles.
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France withdrew from the NATO military command structure
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Operational research doubled the on-target bomb rate of
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The Society for Modeling & Simulation International
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Systems analysis for computer-based information systems
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Omega - The International Journal of Management Science
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solved problems involving sometimes complex decisions (
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specially for 0-1 integer linear programming for binary
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Association of European Operational Research Societies
693: with: a link to future research. You can help by 3513:, New York, MIT Press and John Wiley & Sons, 1951 2874: 569:
argued that small convoys would be harder for German
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Omega - International Journal of Management Science
3426:Abraham Charnes, William W. Cooper, A. Henderson, 2663:Lancaster University, 2008. Retrieved 5 June 2008. 2565:PRINCIPLES AND APPLICATIONS OF OPERATIONS RESEARCH 1907: 1592:Spanish Statistics and Operations Research Society 1348:Simulation Interoperability Standards Organization 5619:Mathematical and quantitative methods (economics) 3573:Saul I. Gass (Editor), Arjang A. Assad (Editor), 1424:Manufacturing & Service Operations Management 893:Efficient messaging and customer response tactics 630:When Germany organized its air defences into the 3533:Frederick S. Hillier & Gerald J. Lieberman, 3504:Planning Production, Inventories, and Work Force 2014:"Operational Research: methods and applications" 2495:"RAF History – Bomber Command 60th Anniversary" 2461:Journal of the American Statistical Association 2434:Journal of the American Statistical Association 912:transportation and delivery systems (Examples: 239:The Journal of the Operational Research Society 120:: Operations Analysis), often shortened to the 3556:, Moscow: Soviet Radio Publishing House, 1964. 3497:Activity Analysis of Production and Allocation 2518: 2516: 436:Modern operational research originated at the 4932: 4318: 3669: 3570:. New York, Kluwer Academic Publishers, 2005. 3451:, Princeton, Princeton University Press, 1962 3444:, Princeton, Princeton University Press, 1963 3416:, Princeton University Press, Princeton, 1957 2401:Dirty Little Secrets of the Twentieth Century 1988:. INFORMS.org. 2 January 2009. Archived from 50:The examples and perspective in this article 8: 3537:, McGraw-Hill: Boston MA; 10th Edition, 2014 3013:, vol. 34, no. 1, pp. 69–91, 2102: 2100: 1237:Scheduling (of airlines, trains, buses etc.) 459:Scientists in the United Kingdom (including 3506:, Englewood Cliffs, NJ, Prentice-Hall, 1960 2557: 2555: 2018:Journal of the Operational Research Society 1524:Journal of the Operational Research Society 1481:-A Quarterly Journal of Operations Research 962:Blending of raw materials in oil refineries 957:Sports events and their television coverage 4939: 4925: 4917: 4325: 4311: 4303: 3803: 3676: 3662: 3654: 2198:Defence Operational Research Establishment 1936: 1934: 3011:Management Revue – Socio-Economic Studies 2029: 974:: Cutting small items out of bigger ones. 950:Network data traffic: these are known as 91:Learn how and when to remove this message 2190:UK National Archives Catalogue for WO291 1503:European Journal of Operational Research 1365:in the UK, including a website entitled 556:, in 1941 and then early in 1942 to the 471:, (later Baron Zuckerman OM, KCB, FRS), 3547:, Englewood Cliffs, Prentice-Hall, 1969 3499:, New York, John Wiley & Sons, 1951 3472:, New York, John Wiley & Sons, 1976 3447:Lester K. Ford, Jr., D. Ray Fulkerson, 3430:, New York, John Wiley & Sons, 1953 2192:lists a War Office organisation called 1876: 1287:stakeholder based approaches including 397:, solved these types of problems using 2692:MerigĂł, JosĂ© M; Yang, Jian-Bo (2017). 2541: 2530: 2419:"Examine your assumptions – LessWrong" 2241:: CS1 maint: archived copy as title ( 2234: 266:Policy modeling and public sector work 245:Computing and information technologies 5604:Mathematical optimization in business 3428:An Introduction to Linear Programming 2779:Leszczynski, Mary (8 November 2011). 2649: 2647: 759:Operation Research Society of America 7: 4887: 4285: 3516:Robert O. Schlaifer, Howard Raiffa, 3509:Philip M. Morse, George E. Kimball, 3419:Abraham Charnes, William W. Cooper, 1581:Production and Operations Management 1544:Military Operations Research Society 369:In the 17th century, mathematicians 4899: 4227:Systems theory in political science 3554:Introduction to Operations Research 3535:Introduction to Operations Research 3518:Applied Statistical Decision Theory 3437:, New York: J. Wiley and Sons, 1957 3435:Introduction to Operations Research 3246:"INFORMS Transactions on Education" 713:In 1947, under the auspices of the 285:Transportation theory (mathematics) 131:is occasionally used as a synonym. 5495:Microfoundations of macroeconomics 3477:Naval Research Logistics Quarterly 1540:Military Operations Research (MOR) 1438:Mathematics of Operations Research 25: 3545:Principles of Operations Research 3442:Linear Programming and Extensions 2340:A Failure of Intelligence: Part I 1832:Search-based software engineering 1405:INFORMS Transactions on Education 574:defensible than many small ones. 5568: 5567: 5556: 4898: 4886: 4875: 4874: 4862: 4284: 4272: 4261: 4260: 3492:, New York, Pergamon Press, 1980 3130:. Learn about OR. Archived from 2562:"1.2 A HISTORICAL PERSPECTIVE". 2355:. Familyheritage.ca. 24 May 1943 860:Weapon target assignment problem 681: 41: 4783:Computational complexity theory 3566:Saul I. Gass, Arjang A. Assad, 2194:Army Operational Research Group 717:, a symposium was organized in 4217:Systems theory in anthropology 3511:Methods of Operations Research 3495:Tjalling C. Koopmans, editor, 3224:"INFORMS Journal on Computing" 3202:"Information Systems Research" 2805:. Orsoc.org.uk. Archived from 2446:10.1080/01621459.1980.10477469 1964:"Operations Research Analysts" 1778:Geographic information systems 1748:Behavioral operations research 1590:: the official journal of the 1134:Geographic information science 850:Generalized assignment problem 821:time (therefore reducing cost) 463:(later Lord Blackett OM PRS), 30:For the academic journal, see 1: 4222:Systems theory in archaeology 3616:, London, Elek Science, 1973. 3468:Ralph Keeney, Howard Raiffa, 3156:. Informs.org. Archived from 2525:United States Naval Institute 2178:Methods of Operation Research 2040:10.1080/01605682.2023.2253852 1817:Project production management 785:Catholic University of Leuven 623:, the result of work done by 491:), and in the United States ( 32:Operations Research (journal) 3634:What is Operations Research? 3458:, Cambridge, MIT Press, 1961 2588:Vahrenkamp, Richard (2019). 2497:. Raf.mod.uk. Archived from 1400:INFORMS Journal on Computing 1395:Information Systems Research 1363:Operational Research Society 918:intermodal freight transport 855:Quadratic assignment problem 527:Royal Aircraft Establishment 111: 5440:Civil engineering economics 5425:Statistical decision theory 5065:Income elasticity of demand 3019:10.5771/0935-9915-2023-1-69 2710:10.1016/j.omega.2016.12.004 2673:What is Management Science? 2654:What is Management Science? 2597:Real World Economics Review 1906:Wetherbe, James C. (1979), 1763:Business process management 1556:Operations Research Letters 1497:Decision Sciences Institute 1277:problem structuring methods 922:travelling salesman problem 763:military-industrial complex 67:, discuss the issue on the 5645: 5075:Price elasticity of supply 5070:Price elasticity of demand 5060:Cross elasticity of demand 4833:Films about mathematicians 3407:Classic books and articles 2987:. ORSSA. 23 September 2011 2399:James F. Dunnigan (1999). 1609:Operations research topics 1202:Transportation forecasting 1000: 617:Statistical Research Group 220:analytic hierarchy process 29: 5551: 4856: 4402:Philosophy of mathematics 4342: 4256: 3854: 3806: 3718:Coupled human–environment 3340:. Scs.org. Archived from 2659:14 September 2008 at the 1528:: an official journal of 1164:Mathematical optimization 926:driver scheduling problem 908:Transportation: managing 204:ordinal priority approach 200:data envelopment analysis 192:Markov decision processes 180:mathematical optimization 58:. The specific issue is: 5131:Income–consumption curve 4838:Recreational mathematics 3551:Wentzel (Ventsel), E. S. 1847:Supply chain engineering 1807:Operational level of war 1407:(an open access journal) 1383:Journal Citation Reports 499:and training schedules. 438:Bawdsey Research Station 118:Air Force Specialty Code 5614:Engineering disciplines 5465:Industrial organization 4723:Mathematical statistics 4713:Mathematical psychology 4683:Engineering mathematics 4617:Algebraic number theory 4051:Charles A. S. Hall 3108:. The Science of Better 3106:"The Science of Better" 2678:7 December 2008 at the 1822:Reliability engineering 1812:Power system simulation 1788:Industrial organization 1719:Frederick W. Lanchester 1640:Artificial intelligence 1281:modeling and simulation 1213:Supply chain management 1072:Artificial Intelligence 884:Supply chain management 654:bombing Japan from the 531:anti-aircraft artillery 415:economic order quantity 399:combinatorial reasoning 262:supply chain management 5624:Mathematical economics 5599:Industrial engineering 4869:Mathematics portal 4718:Mathematical sociology 4698:Mathematical economics 4693:Mathematical chemistry 4622:Analytic number theory 4503:Differential equations 3971:Ludwig von Bertalanffy 3290:"Organization Science" 2899:. ASOR. 1 January 1972 2540:Cite journal requires 2300:2 October 2013 at the 2281:27 August 2013 at the 2262:27 August 2013 at the 1986:"OR / Pubs / IOL Home" 1783:Industrial engineering 1773:Engineering management 1768:Database normalization 1654:Operations researchers 1648:Operations researchers 1635:Real options valuation 1462:Transportation Science 1317:Societies and journals 1298:morphological analysis 1144:Industrial engineering 869:: looking for a target 867:Bayesian search theory 801:Critical path analysis 603: 549: 407:universal "Penny Post" 152:industrial engineering 5435:Engineering economics 5030:Cost–benefit analysis 4848:Mathematics education 4778:Theory of computation 4498:Hypercomplex analysis 4248:Principia Cybernetica 3961:Anthony Stafford Beer 3831:Sociotechnical system 3605:Charles W. McArthur, 3602:, North-Holland, 1991 3368:24 April 2006 at the 2336:MIT Technology Review 2319:27 March 2014 at the 1827:Scientific management 1359:The Science of Better 1332:umbrella organization 1300:and various forms of 1231:service organizations 1159:Mathematical modeling 1115:Financial engineering 1105:Decision intelligence 1033:mathematical modeling 991:evidence-based policy 972:Cutting stock problem 841:Assignment Problems: 666:(MoS) were landed in 596: 543: 477:Owen Wansbrough-Jones 342:Quadratic programming 320:Aerospace engineering 301:Nonlinear programming 249:Financial engineering 5252:Price discrimination 5146:Intertemporal choice 4828:Informal mathematics 4708:Mathematical physics 4703:Mathematical finance 4688:Mathematical biology 4627:Diophantine geometry 4111:Mihajlo D. Mesarovic 4086:Edward Norton Lorenz 4041:Jay Wright Forrester 3846:World-systems theory 3821:Earth system science 3619:Richard Vahrenkamp: 2738:on 29 September 2017 2082:14 July 2009 at the 1842:Strategic management 1793:Managerial economics 1758:Business engineering 1574:Pesquisa Operacional 1534:Taylor & Francis 1451:Organization Science 1208:Stochastic processes 1037:numerical algorithms 954:or queueing systems. 825:Network optimization 452:system, code-named " 113:operational research 73:create a new article 65:improve this article 52:may not represent a 18:Operational research 5594:Operations research 5563:Business portal 5500:Operations research 5327:Substitution effect 4843:Mathematics and art 4753:Operations research 4508:Functional analysis 3986:Kenneth E. Boulding 3456:Industrial Dynamics 3440:George B. Dantzig, 3414:Dynamic Programming 3370:Library of Congress 3180:"Decision Analysis" 3134:on 15 November 2011 2407:. pp. 215–217. 2338:(1 November 2006) " 2060:Shafer, G. (2018). 1837:Simulation modeling 1802:Military simulation 1630:Optimal maintenance 1620:Dynamic programming 1542:: published by the 1445:Operations Research 1373:Journals of INFORMS 1338:, France, Germany, 1312:robustness analysis 1218:Systems engineering 1023:-based principles, 942:Manufacturing steps 831:Resource allocation 715:British Association 621:Columbia University 579:RAF Coastal Command 554:RAF Coastal Command 450:early-warning radar 425:(convoy theory and 316:Dynamic programming 310:NP-complete problem 306:Integer programming 235:Operations Research 196:econometric methods 104:Operations research 5609:Applied statistics 5141:Indifference curve 5109:Goods and services 5050:Economies of scope 5045:Economies of scale 4788:Numerical analysis 4397:Mathematical logic 4392:Information theory 4116:James Grier Miller 4071:Faina M. Kirillova 4031:Heinz von Foerster 4021:Edsger W. Dijkstra 3981:Alexander Bogdanov 3966:Richard E. Bellman 3941:William Ross Ashby 3612:C. H. Waddington, 3543:Harvey M. Wagner, 3479:, 1–2, 1955, 83–97 3465:, 4, 1960, 266–422 3463:Management Science 3454:Jay W. Forrester, 3154:"INFORMS Journals" 3007:Richard Vahrenkamp 2501:on 5 November 2011 1724:Thomas L. Magnanti 1665:Leonid Kantorovich 1615:Black box analysis 1417:Management Science 1302:influence diagrams 1269:strategic planning 1178:Project management 1077:Business analytics 1029:analytical methods 1016:. It uses various 1003:Management science 997:Management science 938:Personnel staffing 845:Assignment problem 795:Problems addressed 751:spare parts theory 740:linear programming 674:After World War II 664:Ministry of Supply 608:RAF Bomber Command 604: 550: 537:to 4,000 in 1941. 446:Robert Watson-Watt 389:; others, such as 375:Christiaan Huygens 365:Historical origins 350:Quadratic function 346:Quadratic equation 329:Information theory 296:Linear programming 270:Revenue management 188:stochastic-process 129:management science 5581: 5580: 5543:Political economy 5342:Supply and demand 5222:Pareto efficiency 4914: 4913: 4513:Harmonic analysis 4300: 4299: 4181:Manuela M. Veloso 4096:Humberto Maturana 4036:Stephanie Forrest 4006:C. West Churchman 3931:Russell L. Ackoff 3917: 3916: 3789:Positive feedback 3784:Negative feedback 3594:978-1-86094-366-9 3525:Classic textbooks 3449:Flows in Networks 3344:on 23 August 2009 3312:"Service Science" 3042:. Euro-online.org 2405:Harper Paperbacks 2223:on 12 August 2011 1867: 1866: 1699:William W. Cooper 1690:C. West Churchman 1675:Russell L. Ackoff 1670:Tjalling Koopmans 1495:on behalf of the 1488:Decision Sciences 1431:Marketing Science 1390:Decision Analysis 1306:cognitive mapping 1289:metagame analysis 1149:Inventory control 1100:Decision analysis 1035:, statistics and 837:Facility location 772:C. West Churchman 736:simplex algorithm 711: 710: 535:Battle of Britain 427:Lanchester's laws 379:problem of points 344:for solutions of 337:Quantum computing 280:Stochastic models 216:decision analysis 101: 100: 93: 75:, as appropriate. 16:(Redirected from 5636: 5571: 5570: 5561: 5560: 5303:Returns to scale 5161:Market structure 4941: 4934: 4927: 4918: 4902: 4901: 4890: 4889: 4878: 4877: 4867: 4866: 4798:Computer algebra 4773:Computer science 4493:Complex analysis 4327: 4320: 4313: 4304: 4288: 4287: 4276: 4264: 4263: 4176:Francisco Varela 3908:Systems thinking 3841:Urban metabolism 3804: 3678: 3671: 3664: 3655: 3577:. 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Waddington 461:Patrick Blackett 391:Pierre de Fermat 258:service sciences 224:computer science 115: 96: 89: 85: 82: 76: 45: 44: 37: 21: 5644: 5643: 5639: 5638: 5637: 5635: 5634: 5633: 5629:Decision-making 5584: 5583: 5582: 5577: 5555: 5547: 5514: 5393: 5035:Deadweight loss 4972:Consumer choice 4950: 4945: 4915: 4910: 4861: 4852: 4802: 4759: 4738:Systems science 4669: 4665:Homotopy theory 4631: 4598: 4550: 4522: 4469: 4416: 4387:Category theory 4373: 4338: 4331: 4301: 4296: 4252: 4231: 4205: 4146:Anatol Rapoport 4131:Talcott Parsons 4106:Donella Meadows 4081:Allenna Leonard 4001:Mary Cartwright 3996:Kathleen Carley 3956:Gregory Bateson 3951:BĂ©la H. Bánáthy 3913: 3850: 3799: 3793: 3779:Limiting factor 3774:Leverage points 3757: 3695: 3687: 3685:Systems science 3682: 3630: 3563: 3527: 3488:B. O. Koopman, 3412:R. E. 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Karp 1601: 1493:Wiley-Blackwell 1471: 1456:Service Science 1375: 1324: 1319: 1227: 1222: 1188:Queueing theory 1183:Policy analysis 1064: 1005: 999: 967:pricing science 952:queueing models 797: 707: 701: 698: 691:needs expansion 676: 505: 485:Jacob Bronowski 469:Solly Zuckerman 403:Charles Babbage 395:Jacob Bernoulli 387:expected values 367: 358: 208:neural networks 184:queueing theory 172:problem-solving 168: 148:decision-making 108:British English 97: 86: 80: 77: 62: 46: 42: 35: 28: 23: 22: 15: 12: 11: 5: 5642: 5640: 5632: 5631: 5626: 5621: 5616: 5611: 5606: 5601: 5596: 5586: 5585: 5579: 5578: 5576: 5575: 5565: 5552: 5549: 5548: 5546: 5545: 5540: 5538:Macroeconomics 5535: 5534: 5533: 5522: 5520: 5516: 5515: 5513: 5512: 5507: 5502: 5497: 5492: 5487: 5482: 5477: 5472: 5467: 5462: 5457: 5452: 5447: 5442: 5437: 5432: 5427: 5422: 5417: 5412: 5407: 5401: 5399: 5395: 5394: 5392: 5391: 5386: 5385: 5384: 5379: 5369: 5364: 5363: 5362: 5353: 5339: 5334: 5329: 5324: 5315: 5310: 5305: 5300: 5295: 5290: 5285: 5280: 5275: 5274: 5273: 5268: 5259: 5254: 5249: 5244: 5239: 5237:Price controls 5229: 5224: 5219: 5218: 5217: 5212: 5207: 5202: 5201: 5200: 5195: 5185: 5180: 5179: 5178: 5173: 5158: 5156:Market failure 5153: 5148: 5143: 5138: 5133: 5128: 5123: 5122: 5121: 5116: 5106: 5101: 5096: 5091: 5090: 5089: 5079: 5078: 5077: 5072: 5067: 5062: 5052: 5047: 5042: 5037: 5032: 5027: 5026: 5025: 5020: 5015: 5010: 5009: 5008: 4998: 4993: 4983: 4974: 4969: 4964: 4958: 4956: 4952: 4951: 4948:Microeconomics 4946: 4944: 4943: 4936: 4929: 4921: 4912: 4911: 4909: 4908: 4896: 4884: 4872: 4857: 4854: 4853: 4851: 4850: 4845: 4840: 4835: 4830: 4825: 4824: 4823: 4816:Mathematicians 4812: 4810: 4808:Related topics 4804: 4803: 4801: 4800: 4795: 4790: 4785: 4780: 4775: 4769: 4767: 4761: 4760: 4758: 4757: 4756: 4755: 4750: 4745: 4743:Control theory 4735: 4730: 4725: 4720: 4715: 4710: 4705: 4700: 4695: 4690: 4685: 4679: 4677: 4671: 4670: 4668: 4667: 4662: 4657: 4652: 4647: 4641: 4639: 4633: 4632: 4630: 4629: 4624: 4619: 4614: 4608: 4606: 4600: 4599: 4597: 4596: 4591: 4586: 4581: 4576: 4571: 4566: 4560: 4558: 4552: 4551: 4549: 4548: 4543: 4538: 4532: 4530: 4524: 4523: 4521: 4520: 4518:Measure theory 4515: 4510: 4505: 4500: 4495: 4490: 4485: 4479: 4477: 4471: 4470: 4468: 4467: 4462: 4457: 4452: 4447: 4442: 4437: 4432: 4426: 4424: 4418: 4417: 4415: 4414: 4409: 4404: 4399: 4394: 4389: 4383: 4381: 4375: 4374: 4372: 4371: 4366: 4361: 4360: 4359: 4354: 4343: 4340: 4339: 4332: 4330: 4329: 4322: 4315: 4307: 4298: 4297: 4295: 4294: 4282: 4270: 4257: 4254: 4253: 4251: 4250: 4245: 4239: 4237: 4233: 4232: 4230: 4229: 4224: 4219: 4213: 4211: 4207: 4206: 4204: 4203: 4201:Anthony Wilden 4198: 4196:Jennifer Wilby 4193: 4191:Norbert Wiener 4188: 4183: 4178: 4173: 4168: 4163: 4161:Claude Shannon 4158: 4153: 4148: 4143: 4138: 4136:Ilya Prigogine 4133: 4128: 4126:Howard T. Odum 4123: 4121:Radhika Nagpal 4118: 4113: 4108: 4103: 4098: 4093: 4091:Niklas Luhmann 4088: 4083: 4078: 4073: 4068: 4063: 4058: 4053: 4048: 4043: 4038: 4033: 4028: 4023: 4018: 4016:George Dantzig 4013: 4011:Manfred Clynes 4008: 4003: 3998: 3993: 3988: 3983: 3978: 3976:Margaret Boden 3973: 3968: 3963: 3958: 3953: 3948: 3943: 3938: 3936:Victor Aladjev 3933: 3927: 3925: 3919: 3918: 3915: 3914: 3912: 3911: 3901: 3896: 3891: 3886: 3881: 3876: 3871: 3866: 3861: 3855: 3852: 3851: 3849: 3848: 3843: 3838: 3833: 3828: 3826:Living systems 3823: 3818: 3813: 3811:Control theory 3807: 3801: 3795: 3794: 3792: 3791: 3786: 3781: 3776: 3771: 3765: 3763: 3759: 3758: 3756: 3755: 3750: 3745: 3740: 3735: 3730: 3725: 3720: 3715: 3710: 3705: 3699: 3697: 3689: 3688: 3683: 3681: 3680: 3673: 3666: 3658: 3652: 3651: 3646: 3641: 3636: 3629: 3628:External links 3626: 3625: 3624: 3617: 3610: 3603: 3596: 3578: 3571: 3562: 3559: 3558: 3557: 3548: 3541: 3538: 3531: 3526: 3523: 3522: 3521: 3514: 3507: 3500: 3493: 3486: 3480: 3473: 3466: 3459: 3452: 3445: 3438: 3431: 3424: 3417: 3408: 3405: 3403: 3400: 3397: 3396: 3385:. Springer.com 3374: 3363:The OR Society 3355: 3325: 3303: 3281: 3259: 3237: 3215: 3193: 3171: 3145: 3119: 3097: 3075: 3064:. Sisostds.org 3053: 3031: 2998: 2976: 2954: 2932: 2910: 2888: 2865: 2842: 2820: 2794: 2771: 2749: 2723: 2684: 2665: 2643: 2628: 2616: 2607: 2580: 2571: 2551: 2542:|journal= 2512: 2486: 2451: 2424: 2410: 2391: 2378: 2366: 2344: 2324: 2305: 2286: 2267: 2248: 2202: 2182: 2167: 2155:Britannica.com 2142: 2115:(4): 287–292. 2096: 2087: 2068: 2053: 2024:(3): 423–617. 2003: 1992:on 27 May 2009 1977: 1955: 1930: 1920: 1898: 1875: 1874: 1872: 1869: 1865: 1864: 1860: 1859: 1854: 1849: 1844: 1839: 1834: 1829: 1824: 1819: 1814: 1809: 1804: 1797: 1796: 1795: 1790: 1785: 1780: 1775: 1770: 1765: 1760: 1755: 1750: 1744: 1743: 1742:Related fields 1738: 1737: 1736: 1731: 1726: 1721: 1716: 1711: 1706: 1704:Robert Dorfman 1701: 1694: 1693: 1692: 1687: 1682: 1677: 1672: 1667: 1662: 1660:George Dantzig 1657: 1650: 1649: 1644: 1643: 1642: 1637: 1632: 1627: 1622: 1617: 1611: 1610: 1602: 1600: 1597: 1596: 1595: 1585: 1577: 1571: 1565: 1559: 1553: 1547: 1537: 1530:The OR Society 1520: 1514: 1508: 1499: 1484: 1470: 1469:Other journals 1467: 1466: 1465: 1458: 1453: 1448: 1441: 1434: 1427: 1420: 1413: 1408: 1402: 1397: 1392: 1374: 1371: 1367:Learn About OR 1330:(IFORS) is an 1323: 1320: 1318: 1315: 1314: 1313: 1310: 1307: 1304: 1295: 1263: 1262: 1259: 1256: 1253: 1250: 1247: 1244: 1241: 1238: 1226: 1223: 1221: 1220: 1215: 1210: 1205: 1198:Social network 1195: 1190: 1185: 1180: 1175: 1166: 1161: 1156: 1151: 1146: 1141: 1136: 1127: 1122: 1117: 1112: 1107: 1102: 1097: 1084: 1079: 1074: 1068: 1063: 1062:Related fields 1060: 1001:Main article: 998: 995: 987: 986: 975: 969: 963: 960: 959: 958: 955: 948: 943: 940: 929: 906: 900: 894: 891: 887: 881: 875: 873:Optimal search 870: 864: 863: 862: 857: 852: 847: 839: 834: 828: 822: 808: 796: 793: 727: 726: 709: 708: 688: 686: 675: 672: 632:Kammhuber Line 600:Kammhuber Line 504: 501: 493:George Dantzig 431:Percy Bridgman 419:Ford W. Harris 383:game-theoretic 366: 363: 357: 354: 353: 352: 339: 326: 313: 303: 298: 293: 292:for strategies 287: 282: 277: 272: 267: 264: 251: 246: 212:expert systems 167: 164: 99: 98: 56:of the subject 54:worldwide view 49: 47: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 5641: 5630: 5627: 5625: 5622: 5620: 5617: 5615: 5612: 5610: 5607: 5605: 5602: 5600: 5597: 5595: 5592: 5591: 5589: 5574: 5566: 5564: 5559: 5554: 5553: 5550: 5544: 5541: 5539: 5536: 5532: 5529: 5528: 5527: 5524: 5523: 5521: 5517: 5511: 5508: 5506: 5503: 5501: 5498: 5496: 5493: 5491: 5488: 5486: 5483: 5481: 5478: 5476: 5473: 5471: 5470:Institutional 5468: 5466: 5463: 5461: 5458: 5456: 5453: 5451: 5448: 5446: 5443: 5441: 5438: 5436: 5433: 5431: 5428: 5426: 5423: 5421: 5418: 5416: 5415:Computational 5413: 5411: 5408: 5406: 5403: 5402: 5400: 5396: 5390: 5387: 5383: 5380: 5378: 5375: 5374: 5373: 5370: 5368: 5365: 5361: 5360:Law of supply 5357: 5354: 5352: 5351:Law of demand 5348: 5345: 5344: 5343: 5340: 5338: 5337:Social choice 5335: 5333: 5330: 5328: 5325: 5323: 5322:Excess supply 5319: 5316: 5314: 5311: 5309: 5308:Risk aversion 5306: 5304: 5301: 5299: 5296: 5294: 5291: 5289: 5286: 5284: 5281: 5279: 5276: 5272: 5269: 5267: 5263: 5260: 5258: 5255: 5253: 5250: 5248: 5245: 5243: 5242:Price ceiling 5240: 5238: 5235: 5234: 5233: 5230: 5228: 5225: 5223: 5220: 5216: 5213: 5211: 5208: 5206: 5203: 5199: 5198:Complementary 5196: 5194: 5191: 5190: 5189: 5186: 5184: 5181: 5177: 5174: 5172: 5169: 5168: 5167: 5164: 5163: 5162: 5159: 5157: 5154: 5152: 5149: 5147: 5144: 5142: 5139: 5137: 5134: 5132: 5129: 5127: 5124: 5120: 5117: 5115: 5112: 5111: 5110: 5107: 5105: 5102: 5100: 5097: 5095: 5092: 5088: 5085: 5084: 5083: 5080: 5076: 5073: 5071: 5068: 5066: 5063: 5061: 5058: 5057: 5056: 5053: 5051: 5048: 5046: 5043: 5041: 5038: 5036: 5033: 5031: 5028: 5024: 5021: 5019: 5016: 5014: 5011: 5007: 5004: 5003: 5002: 4999: 4997: 4994: 4992: 4989: 4988: 4987: 4984: 4982: 4981:non-convexity 4978: 4975: 4973: 4970: 4968: 4965: 4963: 4960: 4959: 4957: 4953: 4949: 4942: 4937: 4935: 4930: 4928: 4923: 4922: 4919: 4907: 4906: 4897: 4895: 4894: 4885: 4883: 4882: 4873: 4871: 4870: 4865: 4859: 4858: 4855: 4849: 4846: 4844: 4841: 4839: 4836: 4834: 4831: 4829: 4826: 4822: 4819: 4818: 4817: 4814: 4813: 4811: 4809: 4805: 4799: 4796: 4794: 4791: 4789: 4786: 4784: 4781: 4779: 4776: 4774: 4771: 4770: 4768: 4766: 4765:Computational 4762: 4754: 4751: 4749: 4746: 4744: 4741: 4740: 4739: 4736: 4734: 4731: 4729: 4726: 4724: 4721: 4719: 4716: 4714: 4711: 4709: 4706: 4704: 4701: 4699: 4696: 4694: 4691: 4689: 4686: 4684: 4681: 4680: 4678: 4676: 4672: 4666: 4663: 4661: 4658: 4656: 4653: 4651: 4648: 4646: 4643: 4642: 4640: 4638: 4634: 4628: 4625: 4623: 4620: 4618: 4615: 4613: 4610: 4609: 4607: 4605: 4604:Number theory 4601: 4595: 4592: 4590: 4587: 4585: 4582: 4580: 4577: 4575: 4572: 4570: 4567: 4565: 4562: 4561: 4559: 4557: 4553: 4547: 4544: 4542: 4539: 4537: 4536:Combinatorics 4534: 4533: 4531: 4529: 4525: 4519: 4516: 4514: 4511: 4509: 4506: 4504: 4501: 4499: 4496: 4494: 4491: 4489: 4488:Real analysis 4486: 4484: 4481: 4480: 4478: 4476: 4472: 4466: 4463: 4461: 4458: 4456: 4453: 4451: 4448: 4446: 4443: 4441: 4438: 4436: 4433: 4431: 4428: 4427: 4425: 4423: 4419: 4413: 4410: 4408: 4405: 4403: 4400: 4398: 4395: 4393: 4390: 4388: 4385: 4384: 4382: 4380: 4376: 4370: 4367: 4365: 4362: 4358: 4355: 4353: 4350: 4349: 4348: 4345: 4344: 4341: 4336: 4328: 4323: 4321: 4316: 4314: 4309: 4308: 4305: 4293: 4292: 4283: 4281: 4280: 4275: 4271: 4269: 4268: 4259: 4258: 4255: 4249: 4246: 4244: 4241: 4240: 4238: 4236:Organizations 4234: 4228: 4225: 4223: 4220: 4218: 4215: 4214: 4212: 4208: 4202: 4199: 4197: 4194: 4192: 4189: 4187: 4186:Kevin Warwick 4184: 4182: 4179: 4177: 4174: 4172: 4169: 4167: 4164: 4162: 4159: 4157: 4154: 4152: 4149: 4147: 4144: 4142: 4139: 4137: 4134: 4132: 4129: 4127: 4124: 4122: 4119: 4117: 4114: 4112: 4109: 4107: 4104: 4102: 4101:Margaret Mead 4099: 4097: 4094: 4092: 4089: 4087: 4084: 4082: 4079: 4077: 4074: 4072: 4069: 4067: 4064: 4062: 4061:Lydia Kavraki 4059: 4057: 4054: 4052: 4049: 4047: 4046:Barbara Grosz 4044: 4042: 4039: 4037: 4034: 4032: 4029: 4027: 4024: 4022: 4019: 4017: 4014: 4012: 4009: 4007: 4004: 4002: 3999: 3997: 3994: 3992: 3989: 3987: 3984: 3982: 3979: 3977: 3974: 3972: 3969: 3967: 3964: 3962: 3959: 3957: 3954: 3952: 3949: 3947: 3946:Ruzena Bajcsy 3944: 3942: 3939: 3937: 3934: 3932: 3929: 3928: 3926: 3924: 3920: 3909: 3905: 3902: 3900: 3897: 3895: 3892: 3890: 3887: 3885: 3882: 3880: 3877: 3875: 3872: 3870: 3867: 3865: 3862: 3860: 3857: 3856: 3853: 3847: 3844: 3842: 3839: 3837: 3834: 3832: 3829: 3827: 3824: 3822: 3819: 3817: 3814: 3812: 3809: 3808: 3805: 3802: 3796: 3790: 3787: 3785: 3782: 3780: 3777: 3775: 3772: 3770: 3769:Doubling time 3767: 3766: 3764: 3760: 3754: 3751: 3749: 3746: 3744: 3741: 3739: 3736: 3734: 3731: 3729: 3726: 3724: 3721: 3719: 3716: 3714: 3711: 3709: 3706: 3704: 3701: 3700: 3698: 3694: 3690: 3686: 3679: 3674: 3672: 3667: 3665: 3660: 3659: 3656: 3650: 3647: 3645: 3642: 3640: 3637: 3635: 3632: 3631: 3627: 3622: 3618: 3615: 3611: 3608: 3604: 3601: 3597: 3595: 3591: 3587: 3586:1-86094-366-7 3583: 3579: 3576: 3572: 3569: 3565: 3564: 3560: 3555: 3552: 3549: 3546: 3542: 3539: 3536: 3532: 3529: 3528: 3524: 3519: 3515: 3512: 3508: 3505: 3501: 3498: 3494: 3491: 3487: 3485: 3481: 3478: 3474: 3471: 3467: 3464: 3460: 3457: 3453: 3450: 3446: 3443: 3439: 3436: 3432: 3429: 3425: 3422: 3418: 3415: 3411: 3410: 3406: 3401: 3384: 3378: 3375: 3372:Web Archives; 3371: 3367: 3364: 3359: 3356: 3343: 3339: 3335: 3329: 3326: 3314:. Informs.org 3313: 3307: 3304: 3292:. Informs.org 3291: 3285: 3282: 3270:. Informs.org 3269: 3263: 3260: 3248:. Informs.org 3247: 3241: 3238: 3226:. Informs.org 3225: 3219: 3216: 3204:. Informs.org 3203: 3197: 3194: 3182:. Informs.org 3181: 3175: 3172: 3159: 3155: 3149: 3146: 3133: 3129: 3123: 3120: 3107: 3101: 3098: 3085: 3079: 3076: 3063: 3057: 3054: 3041: 3040:"EURO (EURO)" 3035: 3032: 3028: 3024: 3020: 3016: 3012: 3008: 3002: 2999: 2986: 2980: 2977: 2964: 2958: 2955: 2942: 2936: 2933: 2920: 2914: 2911: 2898: 2892: 2889: 2876: 2869: 2866: 2853: 2846: 2843: 2830: 2824: 2821: 2808: 2804: 2798: 2795: 2782: 2775: 2772: 2759: 2753: 2750: 2737: 2733: 2727: 2724: 2719: 2715: 2711: 2707: 2703: 2699: 2695: 2688: 2685: 2681: 2677: 2674: 2669: 2666: 2662: 2658: 2655: 2650: 2648: 2644: 2641: 2637: 2636:Stafford Beer 2632: 2629: 2626: 2620: 2617: 2611: 2608: 2602: 2598: 2591: 2584: 2581: 2575: 2572: 2567: 2566: 2558: 2556: 2552: 2547: 2534: 2526: 2519: 2517: 2513: 2500: 2496: 2490: 2487: 2482: 2478: 2474: 2470: 2466: 2462: 2455: 2452: 2447: 2443: 2439: 2435: 2428: 2425: 2420: 2414: 2411: 2406: 2402: 2395: 2392: 2388: 2382: 2379: 2376: 2370: 2367: 2354: 2348: 2345: 2341: 2337: 2333: 2332:Freeman Dyson 2328: 2325: 2322: 2318: 2315: 2309: 2306: 2303: 2299: 2296: 2290: 2287: 2284: 2280: 2277: 2271: 2268: 2265: 2261: 2258: 2252: 2249: 2244: 2238: 2219: 2212: 2206: 2203: 2199: 2195: 2191: 2186: 2183: 2179: 2171: 2168: 2156: 2152: 2146: 2143: 2138: 2134: 2130: 2126: 2122: 2118: 2114: 2110: 2103: 2101: 2097: 2091: 2088: 2085: 2081: 2078: 2072: 2069: 2066: 2063: 2057: 2054: 2049: 2045: 2041: 2037: 2032: 2027: 2023: 2019: 2015: 2007: 2004: 1991: 1987: 1981: 1978: 1965: 1959: 1956: 1943: 1937: 1935: 1931: 1927: 1923: 1921:9780829902280 1917: 1912: 1911: 1902: 1899: 1887:. INFORMS.org 1886: 1880: 1877: 1870: 1863: 1858: 1855: 1853: 1852:System safety 1850: 1848: 1845: 1843: 1840: 1838: 1835: 1833: 1830: 1828: 1825: 1823: 1820: 1818: 1815: 1813: 1810: 1808: 1805: 1803: 1800: 1799: 1798: 1794: 1791: 1789: 1786: 1784: 1781: 1779: 1776: 1774: 1771: 1769: 1766: 1764: 1761: 1759: 1756: 1754: 1751: 1749: 1746: 1745: 1741: 1740: 1739: 1735: 1734:Peter Whittle 1732: 1730: 1729:Alvin E. 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