메뉴 건너뛰기




Volumn 244, Issue 3, 2015, Pages 730-738

Stronger multi-commodity flow formulations of the Capacitated Vehicle Routing Problem

Author keywords

Integer programming; Multi commodity flows; Vehicle routing

Indexed keywords

COMBINATORIAL OPTIMIZATION; NP-HARD; POLYNOMIAL APPROXIMATION; VEHICLE ROUTING; VEHICLES;

EID: 84926415712     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2015.02.028     Document Type: Article
Times cited : (34)

References (27)
  • 1
    • 84986942507 scopus 로고
    • A set-partitioning-based exact algorithm for the vehicle routing problem
    • Agarwal Y., Mathur K., and Salkin H.M. A set-partitioning-based exact algorithm for the vehicle routing problem Networks 19 1989 731 749
    • (1989) Networks , vol.19 , pp. 731-749
    • Agarwal, Y.1    Mathur, K.2    Salkin, H.M.3
  • 2
    • 45149121178 scopus 로고    scopus 로고
    • An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts
    • Baldacci R., Christofides N., and Mingozzi A. An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts Mathematical Programming 115 2008 351 385
    • (2008) Mathematical Programming , vol.115 , pp. 351-385
    • Baldacci, R.1    Christofides, N.2    Mingozzi, A.3
  • 3
    • 8344229228 scopus 로고    scopus 로고
    • An exact algorithm for the capacitated vehicle routing problem based on a two-commodity network flow formulation
    • Baldacci R., Hadjiconstantinou E., and Mingozzi A. An exact algorithm for the capacitated vehicle routing problem based on a two-commodity network flow formulation Operation Research 52 2004 723 738
    • (2004) Operation Research , vol.52 , pp. 723-738
    • Baldacci, R.1    Hadjiconstantinou, E.2    Mingozzi, A.3
  • 4
    • 0000495533 scopus 로고
    • On an integer program for a delivery problem
    • Balinski M.L., and Quandt R.E. On an integer program for a delivery problem Operation Research 12 1964 300 304
    • (1964) Operation Research , vol.12 , pp. 300-304
    • Balinski, M.L.1    Quandt, R.E.2
  • 6
    • 0003787146 scopus 로고
    • Princeton University Press. Princeton, NJ
    • Bellman R.E. Dynamic programming 1957 Princeton University Press. Princeton, NJ
    • (1957) Dynamic programming
    • Bellman, R.E.1
  • 9
    • 0017150934 scopus 로고
    • An integer programming approach to the vehicle scheduling problem
    • Foster B.A., and Ryan D.M. An integer programming approach to the vehicle scheduling problem Operational Research Quarterly 27 1976 367 384
    • (1976) Operational Research Quarterly , vol.27 , pp. 367-384
    • Foster, B.A.1    Ryan, D.M.2
  • 15
    • 58149318797 scopus 로고
    • A result on projection for the vehicle routing problem
    • Gouveia L. A result on projection for the vehicle routing problem European Journal of Operational Research 85 1995 610 624
    • (1995) European Journal of Operational Research , vol.85 , pp. 610-624
    • Gouveia, L.1
  • 16
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • Grötschel M., Lovász L., and Schrijver A. The ellipsoid method and its consequences in combinatorial optimization Combinatorica 1 1981 169 197
    • (1981) Combinatorica , vol.1 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 18
    • 0001748672 scopus 로고
    • Some recent applications of the theory of linear inequalities to extremal combinatorial analysis
    • R. Bellman, M. Hall, AMS Providence, RI
    • Hoffman A.J. Some recent applications of the theory of linear inequalities to extremal combinatorial analysis R. Bellman, M. Hall, Proceedings of symposia in applied mathematics: Vol. X. Combinatorial analysis 1960 AMS Providence, RI
    • (1960) Proceedings of symposia in applied mathematics: Vol. X. Combinatorial analysis
    • Hoffman, A.J.1
  • 20
    • 0342880915 scopus 로고
    • A branch and bound algorithm for the capacitated vehicle routing problem
    • Laporte G., and Nobert Y. A branch and bound algorithm for the capacitated vehicle routing problem OR Spektrum 5 1983 77 85
    • (1983) OR Spektrum , vol.5 , pp. 77-85
    • Laporte, G.1    Nobert, Y.2
  • 21
    • 8344253908 scopus 로고    scopus 로고
    • Multistars, partial multistars and the capacitated vehicle routing problem
    • Letchford A.N., Eglese R.W., and Lysgaard J. Multistars, partial multistars and the capacitated vehicle routing problem Mathematical Programming 94 2002 21 40
    • (2002) Mathematical Programming , vol.94 , pp. 21-40
    • Letchford, A.N.1    Eglese, R.W.2    Lysgaard, J.3
  • 23
    • 21144444352 scopus 로고    scopus 로고
    • A new branch-and-cut algorithm for the capacitated vehicle routing problem
    • Lysgaard J., Letchford A.N., and Eglese R.W. A new branch-and-cut algorithm for the capacitated vehicle routing problem Mathematical Programming 100 2004 423 445
    • (2004) Mathematical Programming , vol.100 , pp. 423-445
    • Lysgaard, J.1    Letchford, A.N.2    Eglese, R.W.3
  • 25
    • 26944467731 scopus 로고    scopus 로고
    • Branch-and-cut algorithms for the capacitated VRP
    • P. Toth, D. Vigo, SIAM
    • Naddef D., and Rinaldi G. Branch-and-cut algorithms for the capacitated VRP P. Toth, D. Vigo, The vehicle routing problem 2001 SIAM.
    • (2001) The vehicle routing problem
    • Naddef, D.1    Rinaldi, G.2
  • 26
    • 0343995969 scopus 로고
    • On existence of multicommodity flows (in Russian)
    • A.A. Fridman, Nauka. Moscow
    • Papernov B.A. On existence of multicommodity flows (in Russian) A.A. Fridman, Studies in discrete optimization 1976 Nauka. Moscow
    • (1976) Studies in discrete optimization
    • Papernov, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.