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Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem. (English) Zbl 0775.90153

MSC:
90B06 Transportation, logistics and supply chain management
90C27 Combinatorial optimization
90-08 Computational methods for problems pertaining to operations research and mathematical programming
Software:
VRP
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[1] E. Aarts and J. Korst,Simulated Annealing and Boltzmann Machine (Wiley, 1989). · Zbl 0674.90059
[2] Y. Agarwal, K. Mathur and H. Salkin, A set partitioning based exact algorithm for the vehicle routing problem, Networks 19(1989)731–749. · Zbl 0682.90050 · doi:10.1002/net.3230190702
[3] K. Altinkemer and B. Gavish, Parallel savings based heuristics for the delivery problem, Oper. Res. 39(1991)456–469. · Zbl 0744.90026 · doi:10.1287/opre.39.3.456
[4] J. Beasley, Route first-cluster second methods for vehicle routing, Omega 118(1983)403–408. · doi:10.1016/0305-0483(83)90033-6
[5] W. Bell, L. Dalberto, M. Fisher, A. Greenfield, R. Jaikumar, R. Mack and P. Prutzman, Improving distribution of industrial gases with an on-line computerized routing and scheduling systems, Interfaces 13(1983)4–23. · doi:10.1287/inte.13.6.4
[6] L. Bodin, B. Golden, A. Assad and M. Ball, Routing and scheduling of vehicles and crews: The state of the art, Comp. Oper. Res. 10(1983)69–211.
[7] L. Bodin, Twenty years of routing and scheduling, Oper. Res. 38(1990)571–579. · doi:10.1287/opre.38.4.571
[8] G. Brown and G. Graves, Real-time dispatch of petroleum tank trunks, Manag. Sci. 27(1981)19–32. · doi:10.1287/mnsc.27.1.19
[9] N. Christofides, Vehicle routing, in:The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization, ed. E. Lawler, J. Lenstra, A. Rinnooy Kan and D. Shmoys (Wiley, 1985).
[10] N. Christofides and S. Eilon, An algorithm for the vehicle dispatching problem, Oper. Res. Quart. 20(1969)309–318. · doi:10.1057/jors.1969.75
[11] N. Christofides, A. Mingozzi and P. Toth, The vehicle routing problem, in:Combinatorial Optimization, ed. N. Christofides, A. Mingozzi, P. Toth and C. Sandi (Wiley, 1979). · Zbl 0413.90075
[12] N. Christofides, A. Mingozzi and P. Toth, Exact algorithms for the vehicle routing problem, based on spanning tree shortest path relaxation, Math. Progr. 20(1981)255–282. · Zbl 0461.90067 · doi:10.1007/BF01589353
[13] N. Christofides, A. Mingozzi and P. Toth, State space relaxation procedures for the computation of bounds to routing problems, Networks 11(1981)145–164. · Zbl 0458.90071 · doi:10.1002/net.3230110207
[14] G. Clarke and J.W. Wright, Scheduling of vehicles from a central depot to a number of delivery points, Oper. Res. 12(1964)568–581. · doi:10.1287/opre.12.4.568
[15] S. Evans and J. Norback, The impact of a decision-support system for vehicle routing in a food service supply situation, J. Oper. Res. Soc. 36(1985)467–472.
[16] M. Fisher, R. Greenfield, R. Jaikumar and J. Lester, A computerized vehicle routing application, Interfaces 1(1982)45–52.
[17] M. Fisher and R. Jaikumar, A generalised assignment heuristic for vehicle routing, Networks 11(1981)109–124. · doi:10.1002/net.3230110205
[18] M. Fisher, Lagrangian optimization algorithms for vehicle routing problems, in:Operational Research’87, IFORS, 1988, ed. G.K. Rand (Elsevier Science/North-Holland, 1988). · Zbl 0663.90040
[19] T. Gaskell, Bases for vehicle fleet scheduling, Oper. Res. Quart. 18(1967)367–384. · doi:10.1057/jors.1967.44
[20] M. Gendreau, A. Hertz and G. Laporte, A tabu search heuristic for the vehicle routing problem, Report CRT-777, Centre de Recherche sur les Transports, Université de Montréal, Canada (1991). · Zbl 0822.90053
[21] B. Gillet and L. Miller, A heuristic algorithm for vehicle dispatches, Oper. Res. 24(1976)340–349.
[22] F. Glover, Future paths for integer programming and links to artificial intelligence, Comp. Oper. Res. 13(1986)533–549. · Zbl 0615.90083 · doi:10.1016/0305-0548(86)90048-1
[23] F. Glover, Tabu search, Part I, ORSA J. Comput. 1(1989)190–206.
[24] F. Glover, Tabu search, Part II, ORSA J. Comput. 2(1990)4–32.
[25] F. Glover, Simple tabu thresholding in optimization, Graduate of Business, Unicersity of Colorado, Boulder (May 1992).
[26] B. Golden and E. Watts, Computerized vehicle routing in the soft drink industry, Oper. Res. 35(1987)6–17. · doi:10.1287/opre.35.1.6
[27] B. Golden and A. Assad,Vehicle Routing: Methods and Studies (Elsevier Science/North-Holland, 1988).
[28] M. Haimovich and A.H.G. Rinnooy Kan, Bounds and heuristics for capacitated routing problems, Math. Oper. Res. 10(1985)527–542. · Zbl 0582.90030 · doi:10.1287/moor.10.4.527
[29] D.S. Johnson, Local optimization and the traveling salesman problem,Proc. 17th Int. Colloquium on Automata, Languages and Programming, Lecture Notes in Computer Science (1990) pp. 446–461. · Zbl 0766.90079
[30] S. Kirkpatrick, J.C.D. Gelott and M.P. Vecchi, Optimization by simulated annealing, Science 220(1983)671–680. · Zbl 1225.90162 · doi:10.1126/science.220.4598.671
[31] G. Laporte, Y. Nobert and M. Desrochers, Optimal routing under capacity and distance restriction, Oper. Res. 33(1985)1050–1073. · Zbl 0575.90039 · doi:10.1287/opre.33.5.1050
[32] G. Laporte and Y. Nobert, Exact algorithms for the vehicle routing problem, Ann. Discr. Math. 31(1987)147–184. · Zbl 0611.90055
[33] J. Lenstra and A. Rinnooy Kan, Complexity of vehicle routing and scheduling problems, Networks 11(1981)221–228. · doi:10.1002/net.3230110211
[34] S. Lin, Computer solutions of the traveling salesman problem, Bell Syst. Comp. J. 44(1965)2245–2269. · Zbl 0136.14705
[35] S. Lin and B.W. Kernighan, An effective heuristic algorithm for the travelling salesman problem, Oper. Res. 21(1973)2245–2269. · Zbl 0256.90038 · doi:10.1287/opre.21.2.498
[36] R.H. Mole and S.R. Jameson, A sequential route-building algorithm employing a generalised savings criterion, Oper. Res. Quart. 27(1976)503–511. · doi:10.1057/jors.1976.95
[37] M. Nelson, K. Nygard, J. Griffin and W. Shreve, Implementation techniques for the vehicle routing problem, Comp. Oper. Res. 12(1985)273–283. · Zbl 0608.90041 · doi:10.1016/0305-0548(85)90026-7
[38] I. Or, Traveling salesman-type combinatorial optimization problems and their relation to the logistics of regional blood banking, Ph.D. Dissertation, Northwestern University, Evanston, IL (1976).
[39] I.H. Osman, Metastrategy simulated annealing and tabu search for combinatorial optimization problems, Ph.D. Dissertation, The Management School, Imperial College of Science and Medicine, University of London, London (1991).
[40] I.H. Osman, Heuristics for combinatorial optimization problems: development and new directions,Proc. 1st Seminar on Information Technology and Applications, Markfield Conference Centre, Leicester, UK (1991).
[41] I.H. Osman, A comparison of heuristics for the generalised assignment problem, Working Paper, University of Kent, Canterbury, UK (1990).
[42] I.H. Osman and N. Christofides, Simulated annealing and descent algorithms for capacitated clustering problems, presented as EURO-XI, Beograd, Yugoslavia (1989).
[43] I.H. Osman and C.N. Potts, Simulated annealing for permutation flow-shop scheduling, Omega 17(1989)551–557. · doi:10.1016/0305-0483(89)90059-5
[44] H. Paessens, Saving algorithms for the vehicle routing problem, Eur. J. Oper. Res. 34(1988)336–344. · Zbl 0635.90047 · doi:10.1016/0377-2217(88)90154-3
[45] R.A. Russell, An effective heuristic for theM-tour traveling salesman problem with some side conditions, Oper. Res. 25(1977)517–524. · Zbl 0377.90094 · doi:10.1287/opre.25.3.517
[46] W.R. Stewart, Jr. and B.L. Golden, A Lagrangian relaxation heuristic for vehicle routing, Eur. J. Oper. Res. 15(1984)84–88. · Zbl 0525.90092 · doi:10.1016/0377-2217(84)90050-X
[47] E. Taillard, Robust tabu search for the quadratic assignment problem, Working Paper ORWP 90/10, Département de Mathématiques, Ecole Polytechnic Fédérale de Lausanne, Switzerland (1990).
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