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Sion, Maurice; Wolfe, Phillip (1957), "On a game without a value", in
Dresher, M.; Tucker, A. W.; Wolfe, P. (eds.),
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I.Games of
Infinite Length; II.A Nondegenerate Formulation and Simplex Solution of Linear Programming Problems
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386:. International Series in Operations Research & Management Science. Vol. 147. pp. 627–642.
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was on sabbatical at the
Institute for Advanced Study, Sion and Wolfe published in 1957 an example of
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125:(August 11, 1927 – December 29, 2016) was an American mathematician and one of the founders of
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500:: Biography of Philip Wolfe from the Institute for Operations Research and the management Sciences
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Dantzig, George B.; Wolfe, Philip (February 1960). "Decomposition
Principle for Linear Programs".
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Frank, Marguerite; Wolfe, Philip (March 1956). "An algorithm for quadratic programming".
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Held, M.; Wolfe, P.; Crowder, H. P. (1974). "Validation of subgradient optimization".
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446:, Annals of Mathematics Studies 39, Princeton University Press, pp. 299–306,
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Wolfe received his bachelor's degree, masters, and Ph.D. degrees from the
883:
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468:"George B. Dantzig Dies at 90; Devised Math Solution to Broad Problems"
331:
294:
260:
Frank, M.; Wolfe, P. (1956). "An algorithm for quadratic programming".
1057:
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213:'s Thomas J. Watson Research Center in Yorktown Heights, New York.
310:
Wolfe, P. (1959). "The
Simplex Method for Quadratic Programming".
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358:"Obituaries: Philip S. Wolfe, Mathematician, of Ossining, 89"
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30:
23:
1071:This article about an American mathematician is a
1172:UC Berkeley College of Letters and Science alumni
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161:In 1954, he was offered an instructorship at
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1103:
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512:
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351:
349:
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444:Contributions to the Theory of Games III
165:, where he worked on generalizations of
345:
195:a zero-sum game without a minimax value
1132:John von Neumann Theory Prize winners
7:
1157:21st-century American mathematicians
1152:20th-century American mathematicians
1047:
1045:
145:. He and his wife, Hallie, lived in
1182:Fellows of the Econometric Society
1075:. You can help Knowledge (XXG) by
417:Naval Research Logistics Quarterly
262:Naval Research Logistics Quarterly
207:Dantzig–Wolfe decomposition method
205:, resulting in the now well known
143:University of California, Berkeley
76:University of California, Berkeley
14:
1063:
1056:
1050:
1137:American operations researchers
466:Pearce, Jeremy (May 23, 2005).
384:Profiles in Operations Research
356:Reif, Carol (January 3, 2017).
382:(2011). "Philip Starr Wolfe".
201:in 1957, where he worked with
1:
1187:Scientists from San Francisco
535:John von Neumann Theory Prize
223:John von Neumann Theory Prize
1192:American mathematician stubs
1147:American computer scientists
392:10.1007/978-1-4419-6281-2_34
1208:
1044:
123:Philip Starr "Phil" Wolfe
116:
81:
45:San Francisco, California
283:Mathematical Programming
131:mathematical programming
1177:American game theorists
1167:RAND Corporation people
209:. In 1965, he moved to
111:Edward William Barankin
1162:American statisticians
1024:Christos Papadimitriou
864:Arthur F. Veinott, Jr.
769:R. Tyrrell Rockafellar
429:10.1002/nav.3800030109
360:. Ossining Daily Voice
274:10.1002/nav.3800030109
225:in 1992, jointly with
175:non-linear programming
16:American mathematician
944:Jean Bernard Lasserre
233:Selected publications
179:Frank–Wolfe algorithm
171:quadratic programming
492:External Information
253:10.1287/opre.8.1.101
185:, then a visitor at
856:Alexander Schrijver
832:J. Michael Harrison
241:Operations Research
181:in joint work with
127:convex optimization
1142:Numerical analysts
1028:Mihalis Yannakakis
988:Dimitris Bertsimas
808:Donald L. Iglehart
792:Manfred W. Padberg
473:The New York Times
295:10.1007/BF01580223
167:linear programming
64:Ossining, New York
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1008:Alexander Shapiro
1004:
996:
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976:Dimitri Bertsekas
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904:Gérard Cornuéjols
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820:Arkadi Nemirovski
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625:Richard J. Duffin
621:William W. Cooper
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401:978-1-4419-6280-5
217:Honors and awards
177:, leading to the
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83:Scientific career
56:December 29, 2016
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912:George Nemhauser
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848:Martin Grötschel
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788:Ellis L. Johnson
771:
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673:Herbert A. Simon
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221:He received the
199:RAND corporation
183:Marguerite Frank
106:Doctoral advisor
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924:Michel Balinski
916:Laurence Wolsey
824:Michael J. Todd
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709:Alan J. Hoffman
681:Harry Markowitz
617:Abraham Charnes
585:David Blackwell
565:Felix Pollaczek
557:Richard Bellman
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423:(1–2): 95–110.
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268:(1–2): 95–110.
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197:. Wolfe joined
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72:Alma mater
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41:August 11, 1927
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1016:Vijay Vazirani
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1005:
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937:
932:Nimrod Megiddo
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896:Peter W. Glynn
892:Søren Asmussen
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880:Yurii Nesterov
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761:Fred W. Glover
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318:(3): 382–398.
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1077:expanding it
1070:
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1000:Adrian Lewis
812:Cyrus Derman
781:2000–present
729:Lajos Takacs
713:Philip Wolfe
712:
689:Richard Karp
649:Jack Edmonds
641:Ralph Gomory
573:John F. Nash
479:December 13,
477:. Retrieved
471:
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362:. Retrieved
315:
312:Econometrica
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227:Alan Hoffman
220:
191:Maurice Sion
173:and general
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58:(2016-12-29)
25:Philip Wolfe
18:
1127:2016 deaths
1122:1927 births
872:Frank Kelly
129:theory and
1116:Categories
800:Ward Whitt
737:Egon Balas
593:David Gale
364:January 4,
340:References
169:, such as
37:1927-08-11
542:1975–1999
303:206797746
289:: 62–88.
187:Princeton
163:Princeton
884:Yinyu Ye
151:New York
147:Ossining
498:INFORMS
332:1909468
189:. When
1031:(2023)
1019:(2022)
1011:(2021)
1003:(2020)
995:(2019)
983:(2018)
971:(2017)
959:(2016)
947:(2015)
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927:(2013)
919:(2012)
907:(2011)
899:(2010)
887:(2009)
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859:(2006)
843:(2005)
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803:(2001)
795:(2000)
772:(1999)
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756:(1997)
748:(1996)
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732:(1994)
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716:(1992)
704:(1991)
692:(1990)
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588:(1979)
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568:(1977)
560:(1976)
552:(1975)
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398:
330:
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157:Career
99:(1954)
97:
90:Thesis
66:, U.S.
47:, U.S.
328:JSTOR
299:S2CID
1073:stub
481:2013
448:ISBN
396:ISBN
366:2017
137:Life
53:Died
31:Born
425:doi
388:doi
320:doi
291:doi
270:doi
249:doi
211:IBM
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