Knowledge

Steiner travelling salesman problem

Source 📝

22: 241: 94:. Given a list of cities, some of which are required, and the lengths of the roads between them, the goal is to find the shortest possible walk that visits each required city and then returns to the origin city. During a walk, vertices can be visited more than once, and edges may be traversed more than once. 210:
Adam N. Letchford, Saeideh D. Nasiri, and Dirk Oliver Theis. Compact formulations of the steiner traveling salesman problem and related problems.
282: 301: 179:
M. R. Garey and D. S. Johnson. Computers and Intractability: A Guide to the Theory of NP-Completeness. W. H. Freeman and Company, 1979.
65: 43: 203:
Huili Zhang, Weitian Tong, Yinfeng Xu, and Guohui Lin. The steiner traveling salesman problem with online advanced edge blockages.
189:
Gerard Cornuejols, Jean Fonlupt, and Denis Naddef. The traveling salesman problem on a graph and some related integer polyhedra.
182:
Huili Zhang, Weitian Tong, Yinfeng Xu, and Guohui Lin. The steiner traveling salesman problem with online edge blockages.
306: 196:
S. Borne, A.R. Mahjoub, and R. Taktak. A branch-and-cut algorithm for the multiple steiner TSP with order constraints.
91: 275: 36: 30: 47: 217:
Adam N. Letchford and Saeideh D. Nasiri. The steiner travelling salesman problem with correlated costs.
268: 163: 113:"A GRASP heuristic using path-relinking and restarts for the Steiner traveling salesman problem" 155: 124: 252: 295: 248: 240: 167: 144:"A note on computational aspects of the Steiner traveling salesman problem" 143: 112: 159: 128: 15: 224:
Juan-Jos´e Salazar-Gonz´alez. The steiner cycle polytope.
256: 142:Álvarez-Miranda, Eduardo; Sinnl, Markus (2019-09-05). 111:Interian, Ruben; Ribeiro, Celso C. (15 July 2017). 148:International Transactions in Operational Research 117:International Transactions in Operational Research 276: 8: 283: 269: 66:Learn how and when to remove this message 226:European Journal of Operational Research 219:European Journal of Operational Research 212:European Journal of Operational Research 198:Electronic Notes in Discrete Mathematics 184:European Journal of Operational Research 29:This article includes a list of general 103: 7: 237: 235: 205:Computers & Operations Research 80:Steiner traveling salesman problem 35:it lacks sufficient corresponding 14: 239: 20: 1: 255:. You can help Knowledge by 323: 302:Combinatorial optimization 234: 92:traveling salesman problem 90:) is an extension of the 191:Mathematical Programming 228:, 147(3):671–679, 2003. 50:more precise citations. 251:-related article is a 221:, 245(1):62–69, 2015. 214:, 228(1):83–92, 2013. 186:, 243(1):30–40, 2015. 307:Combinatorics stubs 200:, 41:487–494, 2013. 193:, 33(1):1–27, 1985. 160:10.1111/itor.12592 129:10.1111/itor.12419 264: 263: 207:, 70:26–38, 2016. 76: 75: 68: 314: 285: 278: 271: 243: 236: 172: 171: 154:(4): 1396–1401. 139: 133: 132: 123:(6): 1307–1323. 108: 71: 64: 60: 57: 51: 46:this article by 37:inline citations 24: 23: 16: 322: 321: 317: 316: 315: 313: 312: 311: 292: 291: 290: 289: 232: 176: 175: 141: 140: 136: 110: 109: 105: 100: 72: 61: 55: 52: 42:Please help to 41: 25: 21: 12: 11: 5: 320: 318: 310: 309: 304: 294: 293: 288: 287: 280: 273: 265: 262: 261: 244: 230: 229: 222: 215: 208: 201: 194: 187: 180: 174: 173: 134: 102: 101: 99: 96: 74: 73: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 319: 308: 305: 303: 300: 299: 297: 286: 281: 279: 274: 272: 267: 266: 260: 258: 254: 250: 249:combinatorics 245: 242: 238: 233: 227: 223: 220: 216: 213: 209: 206: 202: 199: 195: 192: 188: 185: 181: 178: 177: 169: 165: 161: 157: 153: 149: 145: 138: 135: 130: 126: 122: 118: 114: 107: 104: 97: 95: 93: 89: 85: 81: 70: 67: 59: 49: 45: 39: 38: 32: 27: 18: 17: 257:expanding it 246: 231: 225: 218: 211: 204: 197: 190: 183: 151: 147: 137: 120: 116: 106: 87: 83: 79: 77: 62: 53: 34: 84:Steiner TSP 48:introducing 296:Categories 98:References 31:references 56:June 2020 168:71717255 44:improve 166:  33:, but 247:This 164:S2CID 86:, or 253:stub 88:STSP 78:The 156:doi 125:doi 298:: 162:. 152:26 150:. 146:. 121:24 119:. 115:. 284:e 277:t 270:v 259:. 170:. 158:: 131:. 127:: 82:( 69:) 63:( 58:) 54:( 40:.

Index

references
inline citations
improve
introducing
Learn how and when to remove this message
traveling salesman problem
"A GRASP heuristic using path-relinking and restarts for the Steiner traveling salesman problem"
doi
10.1111/itor.12419
"A note on computational aspects of the Steiner traveling salesman problem"
doi
10.1111/itor.12592
S2CID
71717255
Stub icon
combinatorics
stub
expanding it
v
t
e
Categories
Combinatorial optimization
Combinatorics stubs

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.