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Volumn 3, Issue 1, 2006, Pages 33-49

Facets of the polytope of the asymmetric travelling salesman problem with replenishment arcs

Author keywords

Combinatorial optimisation; Polyhedral combinatorics; Travelling salesman

Indexed keywords

AIRCRAFT; ALGORITHMS; COMBINATORIAL MATHEMATICS; GRAPH THEORY; NETWORK PROTOCOLS; OPTIMIZATION;

EID: 33244488338     PISSN: 15725286     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disopt.2005.10.003     Document Type: Article
Times cited : (6)

References (25)
  • 2
    • 0034259805 scopus 로고    scopus 로고
    • A polyhedral study of the asymmetric travelling salesman problem with time windows
    • N. Ascheuer, M. Fischetti, and M. Grötschel A polyhedral study of the asymmetric travelling salesman problem with time windows Networks 36 2000 69 79
    • (2000) Networks , vol.36 , pp. 69-79
    • Ascheuer, N.1    Fischetti, M.2    Grötschel, M.3
  • 3
    • 0001120835 scopus 로고
    • The asymmetric assignment problem and some new facets of the travelling salesman polytope on a directed graph
    • E. Balas The asymmetric assignment problem and some new facets of the travelling salesman polytope on a directed graph SIAM Journal on Discrete Mathematics 2 4 1989 425 451
    • (1989) SIAM Journal on Discrete Mathematics , vol.2 , Issue.4 , pp. 425-451
    • Balas, E.1
  • 4
    • 0027544692 scopus 로고
    • A lifting procedure for the asymmetric travelling salesman problem and a large new class of facets
    • E. Balas, and M. Fischetti A lifting procedure for the asymmetric travelling salesman problem and a large new class of facets Mathematical Programming 58 1993 325 352
    • (1993) Mathematical Programming , vol.58 , pp. 325-352
    • Balas, E.1    Fischetti, M.2
  • 6
    • 0032676931 scopus 로고    scopus 로고
    • Lifted cycle inequalities for the asymmetric travelling salesman problem
    • E. Balas, and M. Fischetti Lifted cycle inequalities for the asymmetric travelling salesman problem Mathematics of Operations Research 24 2 1999 273 292
    • (1999) Mathematics of Operations Research , vol.24 , Issue.2 , pp. 273-292
    • Balas, E.1    Fischetti, M.2
  • 7
    • 0036567019 scopus 로고    scopus 로고
    • A branch-and-cut procedure for the vehicle routing problem with time windows
    • J.F. Bard, G. Kontoravdis, and G. Yu A branch-and-cut procedure for the vehicle routing problem with time windows Transportation Science 36 2002 250 269
    • (2002) Transportation Science , vol.36 , pp. 250-269
    • Bard, J.F.1    Kontoravdis, G.2    Yu, G.3
  • 11
    • 0027610023 scopus 로고
    • Polyhedral study of the capacitated vehicle routing problem
    • G. Cornuejols, and F. Harche Polyhedral study of the capacitated vehicle routing problem Mathematical Programming 60 1993 21 52
    • (1993) Mathematical Programming , vol.60 , pp. 21-52
    • Cornuejols, G.1    Harche, F.2
  • 12
    • 0002279446 scopus 로고
    • Improvements and extensions to the Miller-Tucker-Zemlin subtour elimination constraints
    • M. Desrochers, and G. Laporte Improvements and extensions to the Miller-Tucker-Zemlin subtour elimination constraints Operations Research Letters 10 1991 27 36
    • (1991) Operations Research Letters , vol.10 , pp. 27-36
    • Desrochers, M.1    Laporte, G.2
  • 13
    • 33244466678 scopus 로고    scopus 로고
    • On the minimum makespan machine scheduling problem with sequence dependent setups and due dates
    • School of Information Technology, Deakin University
    • A. Ernst, V. Mak, On the minimum makespan machine scheduling problem with sequence dependent setups and due dates, Technical Report TR M05/01, School of Information Technology, Deakin University, 2005
    • (2005) Technical Report , vol.TR M05-01
    • Ernst, A.1    Mak, V.2
  • 14
    • 0002406256 scopus 로고
    • Facets of the asymmetric travelling salesman polytope
    • M. Fischetti Facets of the asymmetric travelling salesman polytope Mathematics of Operations Research 16 1991 42 56
    • (1991) Mathematics of Operations Research , vol.16 , pp. 42-56
    • Fischetti, M.1
  • 15
    • 0002400314 scopus 로고
    • Clique tree inequalities define facets of the asymmetric travelling salesman polytope
    • M. Fischetti Clique tree inequalities define facets of the asymmetric travelling salesman polytope Discrete Applied Mathematics 56 1995 9 18
    • (1995) Discrete Applied Mathematics , vol.56 , pp. 9-18
    • Fischetti, M.1
  • 16
    • 0028508261 scopus 로고
    • A branch-and-bound algorithm for the capacitated vehicle routing problem on directed graphs
    • M. Fischetti, P. Toth, and D. Vigo A branch-and-bound algorithm for the capacitated vehicle routing problem on directed graphs Operations Research 42 1994 846 859
    • (1994) Operations Research , vol.42 , pp. 846-859
    • Fischetti, M.1    Toth, P.2    Vigo, D.3
  • 17
    • 0002753134 scopus 로고
    • Polyhedral theory
    • E.L. Lawler J.K. Lenstra A.H.G. Rinnooy Kan D.B. Shmoys Wiley
    • M. Grötschel, and M.W. Padberg Polyhedral theory E.L. Lawler J.K. Lenstra A.H.G. Rinnooy Kan D.B. Shmoys The Travelling Salesman Problem 1985 Wiley
    • (1985) The Travelling Salesman Problem
    • Grötschel, M.1    Padberg, M.W.2
  • 19
    • 0001644369 scopus 로고
    • Comb inequalities for the vehicle routing problem
    • G. Laporte, and Y. Norbert Comb inequalities for the vehicle routing problem Methods of Operations Research 51 1984 271 276
    • (1984) Methods of Operations Research , vol.51 , pp. 271-276
    • Laporte, G.1    Norbert, Y.2
  • 20
    • 0022678438 scopus 로고
    • An exact algorithm for the asymmetric capacitated vehicle routing problem
    • G. Laporte, H. Mercure, and Y. Norbert An exact algorithm for the asymmetric capacitated vehicle routing problem Networks 16 1986 33 46
    • (1986) Networks , vol.16 , pp. 33-46
    • Laporte, G.1    Mercure, H.2    Norbert, Y.3
  • 21
    • 2242439193 scopus 로고    scopus 로고
    • Heuristic approaches to the asymmetric travelling salesman problem with replenishment arcs
    • V. Mak, and N. Boland Heuristic approaches to the asymmetric travelling salesman problem with replenishment arcs International Transactions in Operational Research 7 2000 431 447
    • (2000) International Transactions in Operational Research , vol.7 , pp. 431-447
    • Mak, V.1    Boland, N.2
  • 22
    • 33244478479 scopus 로고    scopus 로고
    • Polyhedral results and exact algorithms for the asymmetric travelling salesman problem with replenishment arcs
    • School of Information Technology, Deakin University
    • V. Mak, N. Boland, Polyhedral results and exact algorithms for the asymmetric travelling salesman problem with replenishment arcs, Technical Report TR M05/03, School of Information Technology, Deakin University, 2005
    • (2005) Technical Report , vol.TR M05-03
    • Mak, V.1    Boland, N.2
  • 24
    • 33244489307 scopus 로고    scopus 로고
    • New cutting planes for the time and/or precedence constrained asymmetric travelling salesman problem and vehicle routing problem
    • School of Information Technology, Deakin University
    • V. Mak, A. Ernst, New cutting planes for the time and/or precedence constrained asymmetric travelling salesman problem and vehicle routing problem, Technical Report TR M05/04, School of Information Technology, Deakin University, 2005
    • (2005) Technical Report , vol.TR M05-04
    • Mak, V.1    Ernst, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.