메뉴 건너뛰기




Volumn 14, Issue 4, 2007, Pages 349-364

A column generation approach for the maximal covering location problem

Author keywords

Column generation; Facility location; Lagrangean surrogate relaxation

Indexed keywords


EID: 68949191944     PISSN: 09696016     EISSN: 14753995     Source Type: Journal    
DOI: 10.1111/j.1475-3995.2007.00593.x     Document Type: Article
Times cited : (19)

References (42)
  • 4
    • 0001391104 scopus 로고
    • Decomposition principle for linear programs
    • Dantzig, G.B., Wolfe, P., 1960. Decomposition principle for linear programs. Operations Research 8, 101–111.
    • (1960) Operations Research , vol.8 , pp. 101-111
    • Dantzig, G.B.1    Wolfe, P.2
  • 6
    • 0031219842 scopus 로고    scopus 로고
    • Flight attendant rostering for short-haul airline operations
    • Day, P.R., Ryan, D.M., 1997. Flight attendant rostering for short-haul airline operations. Operations Research 45, 649–661.
    • (1997) Operations Research , vol.45 , pp. 649-661
    • Day, P.R.1    Ryan, D.M.2
  • 8
    • 84889960231 scopus 로고    scopus 로고
    • A primer in column generation
    • Desaulniers, G., Desrosiers, J., Solomon, M.M., (eds), Springer Science+Business Media Inc., New York
    • Desrosiers, J., Lübbecke, M.E., 2005. A primer in column generation. In: Desaulniers, G., Desrosiers, J., Solomon, M.M. (eds) Column Generation (GERAD 25th Anniversary Series). Springer Science+Business Media Inc., New York, pp. 1–32.
    • (2005) Column Generation (GERAD 25th Anniversary Series) , pp. 1-32
    • Desrosiers, J.1    Lübbecke, M.E.2
  • 9
    • 0002814836 scopus 로고
    • A column generation approach to the urban transit crew scheduling problem
    • Desrochers, M., Soumis, F., 1989. A column generation approach to the urban transit crew scheduling problem. Transportation Science 23, 1–13.
    • (1989) Transportation Science , vol.23 , pp. 1-13
    • Desrochers, M.1    Soumis, F.2
  • 10
    • 85042163696 scopus 로고
    • A new optimization algorithm for the vehicle routing problem with time windows
    • Desrochers, M., Desrosiers, J., Solomon, M., 1992. A new optimization algorithm for the vehicle routing problem with time windows. Operations Research 40, 342–354.
    • (1992) Operations Research , vol.40 , pp. 342-354
    • Desrochers, M.1    Desrosiers, J.2    Solomon, M.3
  • 13
    • 0036454664 scopus 로고    scopus 로고
    • Semi-supervised support vector machines for unlabeled data classification
    • Fung, G., Mangasarian, O.L., 2000. Semi-supervised support vector machines for unlabeled data classification. Optimization Methods and Software 1, 15, 29–44.
    • (2000) Optimization Methods and Software , vol.1 , Issue.15 , pp. 29-44
    • Fung, G.1    Mangasarian, O.L.2
  • 14
    • 0343353880 scopus 로고    scopus 로고
    • A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem
    • Galvão, R.D., Espejo, L.G.A., Boffey, B., 2000. A comparison of Lagrangean and surrogate relaxations for the maximal covering location problem. European Journal of Operational Research 124, 377–389.
    • (2000) European Journal of Operational Research , vol.124 , pp. 377-389
    • Galvão, R.D.1    Espejo, L.G.A.2    Boffey, B.3
  • 16
    • 0001510482 scopus 로고
    • A linear programming approach to the cutting stock problem
    • Gilmore, P.C., Gomory, R.E., 1961. A linear programming approach to the cutting stock problem. Operations Research 9, 849–859.
    • (1961) Operations Research , vol.9 , pp. 849-859
    • Gilmore, P.C.1    Gomory, R.E.2
  • 17
    • 0000143954 scopus 로고
    • A linear programming approach to the cutting stock problem
    • Part II.
    • Gilmore, P.C., Gomory, R.E., 1963. A linear programming approach to the cutting stock problem: Part II. Operations Research 11, 863–888.
    • (1963) Operations Research , vol.11 , pp. 863-888
    • Gilmore, P.C.1    Gomory, R.E.2
  • 18
    • 0001215807 scopus 로고
    • Surrogate constraints
    • Glover, F., 1968. Surrogate constraints. Operations Research 4, 741–749.
    • (1968) Operations Research , vol.4 , pp. 741-749
    • Glover, F.1
  • 19
    • 0000890583 scopus 로고
    • Optimum location of switching centers and the absolute centers and medians of a graph
    • Hakimi, S.L., 1964. Optimum location of switching centers and the absolute centers and medians of a graph. Operations Research 12, 450–459.
    • (1964) Operations Research , vol.12 , pp. 450-459
    • Hakimi, S.L.1
  • 20
    • 0000950204 scopus 로고    scopus 로고
    • Cluster analysis and mathematical programming
    • Hansen, P., Jaumard, B., 1997. Cluster analysis and mathematical programming. Mathematical Programming 79, 191–215.
    • (1997) Mathematical Programming , vol.79 , pp. 191-215
    • Hansen, P.1    Jaumard, B.2
  • 21
    • 0021334667 scopus 로고
    • The p-median structure as a unified linear model for location-allocation analysis
    • Hillsman, E.L., 1984. The p-median structure as a unified linear model for location-allocation analysis. Environment and Planning A 16, 305–318.
    • (1984) Environment and Planning A , vol.16 , pp. 305-318
    • Hillsman, E.L.1
  • 22
    • 0003862939 scopus 로고    scopus 로고
    • ILOG Inc., CPLEX Division, Mountain View, USA.
    • ILOG Inc. 2001. ILOG CPLEX 7.1. User's Manual. ILOG Inc., CPLEX Division, Mountain View, USA.
    • (2001) ILOG CPLEX 7.1. User's Manual
  • 23
    • 0036504823 scopus 로고    scopus 로고
    • A Lagrangean/surrogate heuristic for the maximal covering location problem using Hillsman's edition
    • Lorena, L.A.N., Pereira, M.A., 2002. A Lagrangean/surrogate heuristic for the maximal covering location problem using Hillsman's edition. International Journal of Industrial Engineering 9, 1, 57–67.
    • (2002) International Journal of Industrial Engineering , vol.9 , Issue.1 , pp. 57-67
    • Lorena, L.A.N.1    Pereira, M.A.2
  • 26
    • 0016630723 scopus 로고
    • The use of the boxstep method in discrete optimization
    • Marsten, R.E., 1975. The use of the boxstep method in discrete optimization. Mathematical Programming Studies 3, 127–144.
    • (1975) Mathematical Programming Studies , vol.3 , pp. 127-144
    • Marsten, R.E.1
  • 28
    • 0043064778 scopus 로고
    • A class of combinatorial problems with polynomially solvable large scale set covering/partitioning relaxations
    • Minoux, M., 1987. A class of combinatorial problems with polynomially solvable large scale set covering/partitioning relaxations. R.A.I.R.O. Recherche Opérationnelle 21, 2, 105–136.
    • (1987) R.A.I.R.O. Recherche Opérationnelle , vol.21 , Issue.2 , pp. 105-136
    • Minoux, M.1
  • 32
    • 0034544466 scopus 로고    scopus 로고
    • Network distance characteristics that affect computational effort in p-median location problems
    • Schilling, D.A., Rosing, K.E., ReVelle, C.S., 2000. Network distance characteristics that affect computational effort in p-median location problems. European Journal of Operational Research 127, 525–536.
    • (2000) European Journal of Operational Research , vol.127 , pp. 525-536
    • Schilling, D.A.1    Rosing, K.E.2    ReVelle, C.S.3
  • 37
    • 84958970397 scopus 로고    scopus 로고
    • Goos, G., Hartmanis, J., Van Leeuwen, J., (eds)Lecture Notes in Computer Sciences – Proceedings of the Second International Workshop on Practical Aspects of Declarative Languages (PADL'00), Boston, USA, Springer Verlag, Berlin
    • Souza, C.C., Moura, A.V., Yunes, T.H., 2000b. A hybrid approach for solving large scale crew scheduling problems. In: Goos, G., Hartmanis, J., Van Leeuwen, J. (eds) Lecture Notes in Computer Sciences – Proceedings of the Second International Workshop on Practical Aspects of Declarative Languages (PADL'00), Boston, USA, 1753. Springer Verlag, Berlin, pp. 293–307.
    • (2000) A hybrid approach for solving large scale crew scheduling problems , vol.1753 , pp. 293-307
    • Souza, C.C.1    Moura, A.V.2    Yunes, T.H.3
  • 38
    • 0000319358 scopus 로고
    • A parametric decomposition approach for the solution of uncapacitated location problems
    • Swain, R.W., 1974. A parametric decomposition approach for the solution of uncapacitated location problems. Management Science 21, 955–961.
    • (1974) Management Science , vol.21 , pp. 955-961
    • Swain, R.W.1
  • 40
    • 0042094654 scopus 로고    scopus 로고
    • Exact solution of bin-packing problems using column generation and branch-and-bound
    • Valério de Carvalho, J.M., 1999. Exact solution of bin-packing problems using column generation and branch-and-bound. Annals of Operations Research 86, 629–659.
    • (1999) Annals of Operations Research , vol.86 , pp. 629-659
    • Valério de Carvalho, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.