메뉴 건너뛰기




Volumn 38, Issue 4, 2007, Pages 555-580

A new bilevel formulation for the vehicle routing problem and a solution method using a genetic algorithm

Author keywords

Bilevel programing; Genetic Algorithm; Metaheuristics; Vehicle routing problem

Indexed keywords

COST EFFECTIVENESS; DECISION MAKING; GENETIC ALGORITHMS; GROUND VEHICLES; HEURISTIC ALGORITHMS; OPERATIONS RESEARCH; PROBLEM SOLVING;

EID: 34250896800     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-006-9094-0     Document Type: Conference Paper
Times cited : (64)

References (47)
  • 1
    • 0037395316 scopus 로고    scopus 로고
    • A genetic algorithm for the vehicle routing problem
    • Baker, B.M., Ayechew, M. A.: A genetic algorithm for the vehicle routing problem. Comput. Oper. Res. 30(5), 787-800 (2003)
    • (2003) Comput. Oper. Res , vol.30 , Issue.5 , pp. 787-800
    • Baker, B.M.1    Ayechew, M.A.2
  • 2
    • 0033102291 scopus 로고    scopus 로고
    • A tabu search algorithm for the vehicle routing problem
    • Barbarosoglu, G., Ozgur, D.: A tabu search algorithm for the vehicle routing problem. Comput. Oper. Res. 26, 255-270 (1999)
    • (1999) Comput. Oper. Res , vol.26 , pp. 255-270
    • Barbarosoglu, G.1    Ozgur, D.2
  • 4
    • 0019572346 scopus 로고
    • Classification in vehicle routing and scheduling
    • Bodin, L., Golden, B.: Classification in vehicle routing and scheduling. Networks 11, 97-108 (1981)
    • (1981) Networks , vol.11 , pp. 97-108
    • Bodin, L.1    Golden, B.2
  • 5
    • 0020504118 scopus 로고    scopus 로고
    • Bodin, L., Golden, B., Assad, A., Ball, M.: The state of the art in the routing and scheduling of vehicles and crews. Comput. and Oper. Res. 10, 63-212 (1983)
    • Bodin, L., Golden, B., Assad, A., Ball, M.: The state of the art in the routing and scheduling of vehicles and crews. Comput. and Oper. Res. 10, 63-212 (1983)
  • 6
    • 0033446619 scopus 로고    scopus 로고
    • An improved ant system algorithm for the vehicle routing problem
    • Bullnheimer, B., Hartl, P.F., Strauss, C.: An improved ant system algorithm for the vehicle routing problem. Ann. Oper. Res. 89, 319-328 (1999)
    • (1999) Ann. Oper. Res , vol.89 , pp. 319-328
    • Bullnheimer, B.1    Hartl, P.F.2    Strauss, C.3
  • 8
    • 0036566224 scopus 로고    scopus 로고
    • Cordeau, J.F., Gendreau, M., Laporte, G., Potvin, J.Y., Semet, E: A guide to vehicle routing heuristics. I Oper. Res. Soc. 53, 512-522 (2002)
    • Cordeau, J.F., Gendreau, M., Laporte, G., Potvin, J.Y., Semet, E: A guide to vehicle routing heuristics. I Oper. Res. Soc. 53, 512-522 (2002)
  • 9
    • 0035128384 scopus 로고    scopus 로고
    • Using experimental design to effective parameter settings for heuristics
    • Coy, S.P., Golden, B.L., Runger, G.G, Wasil, E.A.: Using experimental design to effective parameter settings for heuristics. J. Heuristics 7(1), 77-97 (2001)
    • (2001) J. Heuristics , vol.7 , Issue.1 , pp. 77-97
    • Coy, S.P.1    Golden, B.L.2    Runger, G.G.3    Wasil, E.A.4
  • 11
    • 85023307260 scopus 로고
    • Vehicle routing
    • Ball, M.O, Magnanti, T.L, Momma, C.L, Nemhauser, G.L, eds, Handbooks in Operations Research and Management Science
    • Fisher, M.L.: Vehicle routing. In: Ball, M.O., Magnanti, T.L., Momma, C.L., Nemhauser, G.L. (eds.) Network Routing, Handbooks in Operations Research and Management Science, vol. 8, pp. 1-33 (1995)
    • (1995) Network Routing , vol.8 , pp. 1-33
    • Fisher, M.L.1
  • 13
    • 0028530194 scopus 로고
    • A tabu search heuristic for the vehicle routing problem
    • Gendreau, M., Hertz, A., Laporte, G.: A tabu search heuristic for the vehicle routing problem. Manage. Sci. 40, 1276-1290 (1994)
    • (1994) Manage. Sci , vol.40 , pp. 1276-1290
    • Gendreau, M.1    Hertz, A.2    Laporte, G.3
  • 14
    • 85191120539 scopus 로고    scopus 로고
    • Vehicle routing: Modern heuristics
    • Aarts, E.H.L, Lenstra, J.K, eds, Wiley, Chichester, pp
    • Gendreau, M., Laporte, G., Potvin, J-Y.: Vehicle routing: modern heuristics. In: Aarts, E.H.L., Lenstra, J.K. (eds.) Local Search in Combinatorial Optimization, (1997) Wiley, Chichester, pp. 311-336.
    • (1997) Local Search in Combinatorial Optimization , pp. 311-336
    • Gendreau, M.1    Laporte, G.2    Potvin, J.-Y.3
  • 15
    • 34250814112 scopus 로고    scopus 로고
    • Gendreau, M., Laporte, G., Potvin, J.Y.: Metaheuristics for the capacitated VRP. In: Toth, P., Vigo. D. The Vehicle Routing Problem, Monographs on Discrete Mathematics and Applications, Philadelphia, MA SIAM, pp.129-154.
    • Gendreau, M., Laporte, G., Potvin, J.Y.: Metaheuristics for the capacitated VRP. In: Toth, P., Vigo. D. The Vehicle Routing Problem, Monographs on Discrete Mathematics and Applications, Philadelphia, MA SIAM, pp.129-154.
  • 17
    • 0001799407 scopus 로고    scopus 로고
    • The impact of metaheuristics on solving the vehicle routing problem: Algorithms, problem sets, and computational results
    • Crainic, T.G, Laporte, G, eds, Kluwer Academic Publishers, Boston
    • Golden, B.L., Wasil, E.A., Kelly, J.P., Chao, I.M.: The impact of metaheuristics on solving the vehicle routing problem: algorithms, problem sets, and computational results. In: Crainic, T.G., Laporte, G. (eds.) Fleet Management and Logistics, pp. 33-56. Kluwer Academic Publishers, Boston (1998)
    • (1998) Fleet Management and Logistics , pp. 33-56
    • Golden, B.L.1    Wasil, E.A.2    Kelly, J.P.3    Chao, I.M.4
  • 18
    • 0034818087 scopus 로고    scopus 로고
    • Variable neighborhood search: Principles and applications
    • Hansen, P., Mladenovic, N.: Variable neighborhood search: principles and applications. Eur. J. Oper. Res. 130, 449-467 (2001)
    • (2001) Eur. J. Oper. Res , vol.130 , pp. 449-467
    • Hansen, P.1    Mladenovic, N.2
  • 19
    • 0001050402 scopus 로고
    • The traveling salesman problem and minimum spanning trees
    • Held, M., Karp, R.M.: The traveling salesman problem and minimum spanning trees. Oper. Res. 18, 1138-1162 (1970)
    • (1970) Oper. Res , vol.18 , pp. 1138-1162
    • Held, M.1    Karp, R.M.2
  • 20
  • 23
    • 7544224084 scopus 로고    scopus 로고
    • Very large-scale vehicle routing: New test problems, algorithms and results
    • Li, F., Golden, B., Wasil, E.: Very large-scale vehicle routing: new test problems, algorithms and results, Comput. Oper. Res. 32(5), 1165-1179 (2005)
    • (2005) Comput. Oper. Res , vol.32 , Issue.5 , pp. 1165-1179
    • Li, F.1    Golden, B.2    Wasil, E.3
  • 24
    • 84908780328 scopus 로고
    • Computer solutions of the traveling salesman problem
    • Lin, S.: Computer solutions of the traveling salesman problem. Bell Sys. Tech. J. 44, 2245-2269 (1965)
    • (1965) Bell Sys. Tech. J , vol.44 , pp. 2245-2269
    • Lin, S.1
  • 25
    • 34250865438 scopus 로고    scopus 로고
    • Ph. D. Thesis. Department of Production Engineering and Management, Technical University of Crete, Chania, Greece
    • Marinakis, Y.: Vehicle Routing in Distribution Problems. Ph. D. Thesis. Department of Production Engineering and Management, Technical University of Crete, Chania, Greece (2005)
    • (2005) Vehicle Routing in Distribution Problems
    • Marinakis, Y.1
  • 26
    • 14044256887 scopus 로고    scopus 로고
    • Heuristic Solutions of Vehicle Routing Problems in Supply Chain Management
    • Pardalos, P.M, Migdalas, A, Burkard, R, eds, World Scientific Publishing Co, Singapore
    • Marinakis, Y., Migdalas, A.: Heuristic Solutions of Vehicle Routing Problems in Supply Chain Management. In: Pardalos, P.M., Migdalas, A., Burkard, R. (eds.) Combinatorial and Global Optimization, pp. 205-236. World Scientific Publishing Co, Singapore, (2002)
    • (2002) Combinatorial and Global Optimization , pp. 205-236
    • Marinakis, Y.1    Migdalas, A.2
  • 27
    • 26044431966 scopus 로고    scopus 로고
    • Expanding neighborhood GRASP for the traveling salesman problem
    • Marinakis, Y., Migdalas, A., Pardalos P.M.: Expanding neighborhood GRASP for the traveling salesman problem. Comput. Optim. Appl. 32, 231-257 (2005)
    • (2005) Comput. Optim. Appl , vol.32 , pp. 231-257
    • Marinakis, Y.1    Migdalas, A.2    Pardalos, P.M.3
  • 28
    • 27844516526 scopus 로고    scopus 로고
    • A Hybrid Genetic-GRASP algortihm using langrangean relaxation for the traveling salesman problem
    • Marinakis, Y., Migdalas, A., Pardalos, P.M.: A Hybrid Genetic-GRASP algortihm using langrangean relaxation for the traveling salesman problem. J. Comb. Optim. 10, 311-326 (2005)
    • (2005) J. Comb. Optim , vol.10 , pp. 311-326
    • Marinakis, Y.1    Migdalas, A.2    Pardalos, P.M.3
  • 29
    • 34250876137 scopus 로고    scopus 로고
    • Marinakis, Y., Migdalas, A., Pardalos, P.M.: Multiple phase neighborhood search GRASP based on Lagrangian relaxation and random backtracking Lin-Kernighan for the traveling salesman problem (submitted in Optimization Methods and Software (2006))
    • Marinakis, Y., Migdalas, A., Pardalos, P.M.: Multiple phase neighborhood search GRASP based on Lagrangian relaxation and random backtracking Lin-Kernighan for the traveling salesman problem (submitted in Optimization Methods and Software (2006))
  • 30
    • 34250817909 scopus 로고    scopus 로고
    • Migdalas, A., Pardalos, P.: Nonlinear bilevel problems with convex second level problem-Heuristics and descent methods In: Du, D. -Z. et al., (eds.) Operations Research and its Application, pp. 194-204. World Scientific, Singapore (1995)
    • Migdalas, A., Pardalos, P.: Nonlinear bilevel problems with convex second level problem-Heuristics and descent methods In: Du, D. -Z. et al., (eds.) Operations Research and its Application, pp. 194-204. World Scientific, Singapore (1995)
  • 31
    • 21144460138 scopus 로고
    • Metastrategy simulated annealing and tabu search algorithms for combinatorial optimization problems
    • Osman, I.H.: Metastrategy simulated annealing and tabu search algorithms for combinatorial optimization problems. Ann. Oper. Res. 41, 421-451 (1993)
    • (1993) Ann. Oper. Res , vol.41 , pp. 421-451
    • Osman, I.H.1
  • 32
    • 2642522782 scopus 로고    scopus 로고
    • A simple and effective evolutionary algorithm for the vehicle routing problem
    • Prins, C.: A simple and effective evolutionary algorithm for the vehicle routing problem. Comput. Oper. Res. 31, 1985-2002 (2004)
    • (2004) Comput. Oper. Res , vol.31 , pp. 1985-2002
    • Prins, C.1
  • 34
    • 0346009088 scopus 로고    scopus 로고
    • D-Ants: Savings based ants divide and conquer the vehicle routing problem
    • Reimann, M., Doerner, K., Hartl, R.F.: D-Ants: savings based ants divide and conquer the vehicle routing problem. Comput. Oper. Res. 31(4), 563-591 (2004)
    • (2004) Comput. Oper. Res , vol.31 , Issue.4 , pp. 563-591
    • Reimann, M.1    Doerner, K.2    Hartl, R.F.3
  • 35
    • 0032181671 scopus 로고    scopus 로고
    • A subpath ejection method for the vehicle routing problem
    • Rego, C.: A subpath ejection method for the vehicle routing problem. Manage Sci. 44, 1447-1459 (1998)
    • (1998) Manage Sci , vol.44 , pp. 1447-1459
    • Rego, C.1
  • 36
    • 0035247978 scopus 로고    scopus 로고
    • Node-ejection chains for the vehicle routing problem: Sequential and parallel algorithms
    • Rego, C.: Node-ejection chains for the vehicle routing problem: sequential and parallel algorithms. Parallel Comput. 27(3), 201-222 (2001)
    • (2001) Parallel Comput , vol.27 , Issue.3 , pp. 201-222
    • Rego, C.1
  • 37
    • 34250866620 scopus 로고    scopus 로고
    • Resende, M. G. C., Ribeiro, C. C.: Greedy Randomized Adaptive Search Procedures. In: pp. 219-249.Glover, F., Kochenberger, G. A. (eds.) Handbook of Metaheuristics, Kluwer Academic Publishers, Boston (2003)
    • Resende, M. G. C., Ribeiro, C. C.: Greedy Randomized Adaptive Search Procedures. In: pp. 219-249.Glover, F., Kochenberger, G. A. (eds.) Handbook of Metaheuristics, Kluwer Academic Publishers, Boston (2003)
  • 38
    • 0029362478 scopus 로고
    • Probabilistic diversification and intensification in local search for vehicle routing
    • Rochat, Y., Taillard, E.D.: Probabilistic diversification and intensification in local search for vehicle routing. J. Heuristics 1, 147-167 (1995)
    • (1995) J. Heuristics , vol.1 , pp. 147-167
    • Rochat, Y.1    Taillard, E.D.2
  • 39
    • 33845512751 scopus 로고
    • Parallel iterative search methods for vehicle routing problems
    • Taillard, E.D.: Parallel iterative search methods for vehicle routing problems. Networks 23, 661-672 (1993)
    • (1993) Networks , vol.23 , pp. 661-672
    • Taillard, E.D.1
  • 40
    • 12244261649 scopus 로고    scopus 로고
    • Solving the vehicle routing problem with adaptive memory programming methodology
    • Tarantilis, CD.: Solving the vehicle routing problem with adaptive memory programming methodology. Comput. Oper. Res. bf 32(9), 2309-2327 (2005)
    • (2005) Comput. Oper. Res. bf , vol.32 , Issue.9 , pp. 2309-2327
    • Tarantilis, C.D.1
  • 41
    • 0141426890 scopus 로고    scopus 로고
    • Tarantilis, CD., Kiranoudis, CT., Vassiliadis, VS.: A backtracking adaptive threshold accepting metaheuristic method for the Vehicle Routing Problem. Sys. Anal. Model. Simul. (SAMS) 42(5), 631-644 (2002)
    • Tarantilis, CD., Kiranoudis, CT., Vassiliadis, VS.: A backtracking adaptive threshold accepting metaheuristic method for the Vehicle Routing Problem. Sys. Anal. Model. Simul. (SAMS) 42(5), 631-644 (2002)
  • 42
    • 0141538398 scopus 로고    scopus 로고
    • A list based threshold accepting algorithm for the capacitated vehicle routing problem
    • Tarantilis, C.D., Kiranoudis, C.T., Vassiliadis, V.S.: A list based threshold accepting algorithm for the capacitated vehicle routing problem. Int. J. Comput. Math. 79(5), 537-553 (2002)
    • (2002) Int. J. Comput. Math , vol.79 , Issue.5 , pp. 537-553
    • Tarantilis, C.D.1    Kiranoudis, C.T.2    Vassiliadis, V.S.3
  • 43
    • 0036439090 scopus 로고    scopus 로고
    • BoneRoute: An adaptive memory-based method for effective fleet management
    • Tarantilis, CD., Kiranoudis, C.T.: BoneRoute: an adaptive memory-based method for effective fleet management. Ann. Oper. Res. 115(1), 227-241 (2002)
    • (2002) Ann. Oper. Res , vol.115 , Issue.1 , pp. 227-241
    • Tarantilis, C.D.1    Kiranoudis, C.T.2
  • 45
    • 34250812379 scopus 로고    scopus 로고
    • Toth, P., Vigo, D.: An overview of Vehicle Routing Problems. In: Toth, P., Vigo, D. (eds.) The Vehicle Routing Problem, Monographs on Discrete Mathematics and Applications, pp. 1-26.SIAM, Philadelphia, MA (2002b)
    • Toth, P., Vigo, D.: An overview of Vehicle Routing Problems. In: Toth, P., Vigo, D. (eds.) The Vehicle Routing Problem, Monographs on Discrete Mathematics and Applications, pp. 1-26.SIAM, Philadelphia, MA (2002b)
  • 46
    • 3843131812 scopus 로고    scopus 로고
    • The granular tabu search (and its application to the vehicle routing problem)
    • Toth, P., Vigo, D.: The granular tabu search (and its application to the vehicle routing problem). INFORMS J. Comput. 15(4), 333-348 (2003)
    • (2003) INFORMS J. Comput , vol.15 , Issue.4 , pp. 333-348
    • Toth, P.1    Vigo, D.2
  • 47
    • 0030287112 scopus 로고    scopus 로고
    • A new network flow-based tabu search heuristic for the vehicle routing problem
    • Xu, J., Kelly, J.P.: A new network flow-based tabu search heuristic for the vehicle routing problem. Transportation Sci. 30, 379-393 (1996)
    • (1996) Transportation Sci , vol.30 , pp. 379-393
    • Xu, J.1    Kelly, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.