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Volumn 90, Issue 2, 2001, Pages 291-316

A cutting plane algorithm for the General Routing Problem

Author keywords

Cutting planes; General Routing Problem; Graphical Travelling Salesman Problem; Rural Postman Problem; Valid inequalities

Indexed keywords


EID: 4243433639     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00011426     Document Type: Article
Times cited : (47)

References (29)
  • 3
    • 0032070222 scopus 로고    scopus 로고
    • The capacitated arc routing problem: Valid inequalities and facets
    • Belenguer, J.M., Benavent, E. (1998): The capacitated arc routing problem: valid inequalities and facets. Comput. Optim. Appl. 10, 165-187
    • (1998) Comput. Optim. Appl. , vol.10 , pp. 165-187
    • Belenguer, J.M.1    Benavent, E.2
  • 5
    • 0028542788 scopus 로고
    • A polyhedral approach to the rural postman problem
    • Corberán, A., Sanchis, J.M. (1994): A polyhedral approach to the rural postman problem. Eur. J. Opl Res. 79, 95-114
    • (1994) Eur. J. Opl Res. , vol.79 , pp. 95-114
    • Corberán, A.1    Sanchis, J.M.2
  • 6
    • 0032143226 scopus 로고    scopus 로고
    • The general routing problem polyhedron: Facets from the RPP and GTSP polyhedra
    • Corberán, A., Sanchis, J.M. (1998): The general routing problem polyhedron: facets from the RPP and GTSP polyhedra. Eur. J. Opl Res. 108, 538-550
    • (1998) Eur. J. Opl Res. , vol.108 , pp. 538-550
    • Corberán, A.1    Sanchis, J.M.2
  • 7
    • 0022129352 scopus 로고
    • The travelling salesman on a graph and some related integer polyhedra
    • Cornuéjols, G., Fonlupt, J., Naddef, D. (1985): The travelling salesman on a graph and some related integer polyhedra. Math. Program. 33, 1-27
    • (1985) Math. Program. , vol.33 , pp. 1-27
    • Cornuéjols, G.1    Fonlupt, J.2    Naddef, D.3
  • 8
    • 0002293349 scopus 로고
    • Matchings, Euler tours and the Chinese postman problem
    • Edmonds, J., Johnson, E.L. (1973): Matchings, Euler tours and the Chinese postman problem. Math. Program. 5, 88-124
    • (1973) Math. Program. , vol.5 , pp. 88-124
    • Edmonds, J.1    Johnson, E.L.2
  • 9
    • 0000624218 scopus 로고
    • Arc-routing problems, part 2: The rural postman problem
    • Eiselt, H.A., Gendreau, M., Laporte, G. (1995): Arc-routing problems, part 2: the rural postman problem. Oper. Res. 43, 399-114
    • (1995) Oper. Res. , vol.43 , pp. 399-1114
    • Eiselt, H.A.1    Gendreau, M.2    Laporte, G.3
  • 10
    • 0022129089 scopus 로고
    • A cutting-plane procedure for the travelling salesman problem on a road network
    • Fleischmann, B. (1985): A cutting-plane procedure for the travelling salesman problem on a road network. Eur. J. Opl Res. 21, 307-317
    • (1985) Eur. J. Opl Res. , vol.21 , pp. 307-317
    • Fleischmann, B.1
  • 11
    • 0001280938 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for the undirected rural postman problem
    • Ghiani, G., Laporte, G. (2000): A branch-and-cut algorithm for the undirected rural postman problem. Math. Program. 87, 467-482
    • (2000) Math. Program. , vol.87 , pp. 467-482
    • Ghiani, G.1    Laporte, G.2
  • 12
    • 0022361867 scopus 로고
    • Solving matching problems with linear programming
    • Grötschel, M., Holland, O. (1985): Solving matching problems with linear programming. Math. Program. 33, 243-259
    • (1985) Math. Program. , vol.33 , pp. 243-259
    • Grötschel, M.1    Holland, O.2
  • 13
    • 34250268954 scopus 로고
    • On the symmetric travelling salesman problem I: Inequalities
    • Grötschel, M., Padberg, M.W. (1979): On the symmetric travelling salesman problem I: inequalities. Math. Program. 16, 265-280
    • (1979) Math. Program. , vol.16 , pp. 265-280
    • Grötschel, M.1    Padberg, M.W.2
  • 14
    • 0027113829 scopus 로고
    • A cutting plane algorithm for the windy postman problem
    • Grötschel, M., Win, Z. (1992): A cutting plane algorithm for the windy postman problem. Math. Program. 55, 339-358
    • (1992) Math. Program. , vol.55 , pp. 339-358
    • Grötschel, M.1    Win, Z.2
  • 15
    • 0003112831 scopus 로고    scopus 로고
    • Improvement procedures for the undirected rural postman problem
    • Hertz, A., Laporte, G., Nanchen, P. (1999): Improvement procedures for the undirected rural postman problem. INFORMS J. Comput. 11, 53-62
    • (1999) INFORMS J. Comput. , vol.11 , pp. 53-62
    • Hertz, A.1    Laporte, G.2    Nanchen, P.3
  • 18
  • 19
    • 0030857736 scopus 로고    scopus 로고
    • New inequalities for the general routing problem
    • Letchford, A.N. (1997): New inequalities for the general routing problem. Eur. J. Opl Res. 96, 317-322
    • (1997) Eur. J. Opl Res. , vol.96 , pp. 317-322
    • Letchford, A.N.1
  • 20
    • 0032710605 scopus 로고    scopus 로고
    • The general routing polyhedron: A unifying framework
    • Letchford, A.N. (1999): The general routing polyhedron: a unifying framework. Eur. J. Opl Res. 112, 122-133
    • (1999) Eur. J. Opl Res. , vol.112 , pp. 122-133
    • Letchford, A.N.1
  • 21
    • 0028699063 scopus 로고
    • Implementing an efficient minimum capacity cut algorithm
    • Nagamochi, H., Ono, T., Ibaraki, T. (1994): Implementing an efficient minimum capacity cut algorithm. Math. Program. 67, 325-341
    • (1994) Math. Program. , vol.67 , pp. 325-341
    • Nagamochi, H.1    Ono, T.2    Ibaraki, T.3
  • 23
    • 0039611814 scopus 로고    scopus 로고
    • An optimal algorithm for the mixed Chinese postman problem
    • Nobert, Y., Picard, J.-C. (1996): An optimal algorithm for the mixed Chinese postman problem. Networks 27, 95-108
    • (1996) Networks , vol.27 , pp. 95-108
    • Nobert, Y.1    Picard, J.-C.2
  • 24
    • 0015958417 scopus 로고
    • A fundamental problem in vehicle routing
    • Orloff, C.S. (1974): A fundamental problem in vehicle routing. Networks 4, 35-64
    • (1974) Networks , vol.4 , pp. 35-64
    • Orloff, C.S.1
  • 25
    • 0020092747 scopus 로고
    • Odd minimum cut-sets and b-matchings
    • Padberg, M.W., Rao, M.R. (1982): Odd minimum cut-sets and b-matchings. Math. Oper. Res. 7, 67-80
    • (1982) Math. Oper. Res. , vol.7 , pp. 67-80
    • Padberg, M.W.1    Rao, M.R.2
  • 26
    • 0025448140 scopus 로고
    • Facet identification for the symmetric travelling salesman polytope
    • Padberg, M.W., Rinaldi, G. (1990): Facet identification for the symmetric travelling salesman polytope. Math. Program. 47, 219-257
    • (1990) Math. Program. , vol.47 , pp. 219-257
    • Padberg, M.W.1    Rinaldi, G.2
  • 27
    • 0026124209 scopus 로고
    • A branch-and-cut algorithm for the resolution of large-scale symmetric travelling salesman problems
    • Padberg, M.W., Rinaldi, G. (1991): A branch-and-cut algorithm for the resolution of large-scale symmetric travelling salesman problems. SIAM Rev. 33, 60-100
    • (1991) SIAM Rev. , vol.33 , pp. 60-100
    • Padberg, M.W.1    Rinaldi, G.2
  • 28
    • 0026225350 scopus 로고
    • TSPLIB - A travelling salesman problem library
    • Reinelt, G. (1991): TSPLIB - a travelling salesman problem library. ORSA J. Comput. 3, 376-384
    • (1991) ORSA J. Comput. , vol.3 , pp. 376-384
    • Reinelt, G.1
  • 29
    • 0001790593 scopus 로고
    • Depth first search and linear graph algorithms
    • Tarjan, R.E. (1972): Depth first search and linear graph algorithms. SIAM J. Comp. 1, 146-60
    • (1972) SIAM J. Comp. , vol.1 , pp. 146-160
    • Tarjan, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.