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Volumn 56, Issue 1, 2013, Pages 97-111

Algorithmic improvements on dynamic programming for the bi-objective {0,1} knapsack problem

Author keywords

Bi objective 0 1 knapsack problems; Bi objective simplex algorithm; Bounds sets; Dichotomic search; Multi objective combinatorial optimization

Indexed keywords

0-1 KNAPSACK PROBLEM; BOUNDS SETS; DICHOTOMIC SEARCH; MULTIOBJECTIVE COMBINATORIAL OPTIMIZATION; SIMPLEX ALGORITHM;

EID: 84880253329     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-013-9551-x     Document Type: Article
Times cited : (29)

References (21)
  • 1
    • 0018320577 scopus 로고
    • Bicriteria transportation problem
    • 530940 0442.90056 10.1287/mnsc.25.1.73
    • Aneja, Y.; Nair, K.: Bicriteria transportation problem. Manag. Sci. 25(1), 73-78 (1979)
    • (1979) Manag. Sci. , vol.25 , Issue.1 , pp. 73-78
    • Aneja, Y.1    Nair, K.2
  • 2
    • 62549134941 scopus 로고    scopus 로고
    • Implementing an efficient fptas for the 0-1 multi-objective knapsack problem
    • 2508033 1163.90726 10.1016/j.ejor.2008.07.047
    • Bazgan, C.; Hugot, H.; Vanderpooten, D.: Implementing an efficient fptas for the 0-1 multi-objective knapsack problem. Eur. J. Oper. Res. 198(1), 47-56 (2009)
    • (2009) Eur. J. Oper. Res. , vol.198 , Issue.1 , pp. 47-56
    • Bazgan, C.1    Hugot, H.2    Vanderpooten, D.3
  • 3
    • 44849107986 scopus 로고    scopus 로고
    • Solving efficiently the 0-1 multi-objective knapsack problem
    • 2577251 1175.90323 10.1016/j.cor.2007.09.009
    • Bazgan, C.; Hugot, H.; Vanderpooten, D.: Solving efficiently the 0-1 multi-objective knapsack problem. Comput. Oper. Res. 36(1), 260-279 (2009)
    • (2009) Comput. Oper. Res. , vol.36 , Issue.1 , pp. 260-279
    • Bazgan, C.1    Hugot, H.2    Vanderpooten, D.3
  • 4
    • 0041309924 scopus 로고    scopus 로고
    • Solving bicriteria 0-1 knapsack problems using a labeling algorithm
    • DOI 10.1016/S0305-0548(02)00112-0, PII S0305054802001120
    • Captivo, M.; Clímaco, J.; Figueira, J.; Martins, E.; dos Santos, J.: Solving bicriteria 0-1 knapsack problems using a labeling algorithm. Comput. Oper. Res. 30(12), 1865-1886 (2003) (Pubitemid 36893357)
    • (2003) Computers and Operations Research , vol.30 , Issue.12 , pp. 1865-1886
    • Captivo, M.E.1    Climaco, J.2    Figueira, J.3    Martins, E.4    Santos, J.L.5
  • 6
    • 0036966921 scopus 로고    scopus 로고
    • Approximating multi-objective knapsack problems
    • 1232.90324 10.1287/mnsc.48.12.1603.445
    • Erlebach, T.; Kellerer, H.; Pferschy, U.: Approximating multi-objective knapsack problems. Manag. Sci. 48(12), 1603-1612 (2002)
    • (2002) Manag. Sci. , vol.48 , Issue.12 , pp. 1603-1612
    • Erlebach, T.1    Kellerer, H.2    Pferschy, U.3
  • 7
    • 25444524656 scopus 로고    scopus 로고
    • A scatter search method for bi-criteria {0, 1}-knapsack problems
    • DOI 10.1016/j.ejor.2004.08.005, PII S0377221704005442, Feature Cluster on Scatter Search Methods for Optimization
    • Gomes da Silva, C.; Clímaco, J.; Figueira, J.: A scatter search method for bi-criteria {0,1}-knapsack problems. Eur. J. Oper. Res. 169(2), 373-391 (2006) (Pubitemid 41375697)
    • (2006) European Journal of Operational Research , vol.169 , Issue.2 , pp. 373-391
    • Gomes Da Silva, C.1    Climaco, J.2    Figueira, J.3
  • 8
    • 36448969782 scopus 로고    scopus 로고
    • Core problems in bi-criteria { 0, 1 }-knapsack problems
    • DOI 10.1016/j.cor.2006.11.001, PII S0305054806002917, Selected Papers Presented at the ECCO'04 European Conference on Combinatorial Optimization
    • Gomes da Silva, C.; Clímaco, J.; Figueira, J.: Core problems in bi-criteria {0, 1}-knapsack problems. Comput. Oper. Res. 35(7), 2292-2306 (2008) (Pubitemid 350167493)
    • (2008) Computers and Operations Research , vol.35 , Issue.7 , pp. 2292-2306
    • Gomes Da Silva, C.1    Climaco, J.2    Rui Figueira, J.3
  • 9
    • 33751261120 scopus 로고    scopus 로고
    • Integrating partial optimization with scatter search for solving bi-criteria {0, 1}-knapsack problems
    • DOI 10.1016/j.ejor.2005.10.013, PII S0377221705006442
    • Gomes da Silva, C.; Figueira, J.; Clímaco, J.: Integrating partial optimization with scatter search for solving bi-criteria {0, 1}-knapsack problems. Eur. J. Oper. Res. 177(3), 1656-1677 (2007) (Pubitemid 44794349)
    • (2007) European Journal of Operational Research , vol.177 , Issue.3 , pp. 1656-1677
    • Gomes Da Silva, C.1    Figueira, J.2    Climaco, J.3
  • 10
    • 0037118772 scopus 로고    scopus 로고
    • A bicriteria knapsack program for planning remediation of contaminated lightstation sites
    • DOI 10.1016/S0377-2217(02)00080-2, PII S0377221702000802
    • Jenkins, L.: A bicriteria knapsack program for planning remediation of contaminated lightstation sites. Eur. J. Oper. Res. 140(2), 427-433 (2002) (Pubitemid 34435043)
    • (2002) European Journal of Operational Research , vol.140 , Issue.2 , pp. 427-433
    • Jenkins, L.1
  • 11
    • 0033891465 scopus 로고    scopus 로고
    • Dynamic programming approaches to the multiple criteria knapsack problem
    • DOI 10.1002/(SICI)1520-6750(200002)47:1<57::AID-NAV4>3.0.CO;2-4
    • Klamroth, K.; Wiecek, M.M.: Dynamic programming approaches to the multiple criteria knapsack problem. Nav. Res. Logist. 47(1), 57-76 (2000) (Pubitemid 30542457)
    • (2000) Naval Research Logistics , vol.47 , Issue.1 , pp. 57-76
    • Klamroth, K.1    Wiecek, M.M.2
  • 13
    • 0033076699 scopus 로고    scopus 로고
    • Relocation problems arising in conservation biology
    • 0938.92035 10.1016/S0898-1221(99)00065-6
    • Kostreva, M.; Ogryczak, W.; Tonkyn, D.: Relocation problems arising in conservation biology. Comput. Math. Appl. 37(4-5), 135-150 (1999)
    • (1999) Comput. Math. Appl. , vol.37 , Issue.4-5 , pp. 135-150
    • Kostreva, M.1    Ogryczak, W.2    Tonkyn, D.3
  • 14
    • 33846575257 scopus 로고    scopus 로고
    • Bound sets for biobjective combinatorial optimization problems
    • DOI 10.1016/j.cor.2005.10.003, PII S0305054805003345
    • Ehrgott, M.; Gandibleux, X.: Bound sets for biobjective combinatorial optimization problems. Comput. Oper. Res. 34(9), 2674-2694 (2007) (Pubitemid 46176399)
    • (2007) Computers and Operations Research , vol.34 , Issue.9 , pp. 2674-2694
    • Ehrgott, M.1    Gandibleux, X.2
  • 16
    • 0002048643 scopus 로고
    • Discrete dynamic programming and capital allocation
    • 381680 1231.90339 10.1287/mnsc.15.9.494
    • Nemhauser, G.; Ullmann, Z.: Discrete dynamic programming and capital allocation. Manag. Sci. 15(9), 494-505 (1969)
    • (1969) Manag. Sci. , vol.15 , Issue.9 , pp. 494-505
    • Nemhauser, G.1    Ullmann, Z.2
  • 17
    • 0031223931 scopus 로고    scopus 로고
    • A minimal algorithm for the 0-1 knapsack problem
    • Pisinger, D.: A minimal algorithm for the 0-1 knapsack problem. Oper. Res. 45, 758-767 (1997) (Pubitemid 127684747)
    • (1997) Operations Research , vol.45 , Issue.5 , pp. 758-767
    • Pisinger, D.1
  • 18
    • 0024662571 scopus 로고
    • Generating the discrete efficient fronteir to the capital budgeting problem
    • 0669.90009 10.1287/opre.37.3.384
    • Rosenblatt, M.; Sinuany-Stern, Z.: Generating the discrete efficient fronteir to the capital budgeting problem. Oper. Res. 37(3), 384-394 (1989)
    • (1989) Oper. Res. , vol.37 , Issue.3 , pp. 384-394
    • Rosenblatt, M.1    Sinuany-Stern, Z.2
  • 20
    • 0030465297 scopus 로고    scopus 로고
    • A multiobjective programming approach for selecting non-independent transportation investment alternatives
    • DOI 10.1016/0191-2615(95)00032-1
    • Teng, J.; Tzeng, G.: A multiobjective programming approach for selecting non-independent transportation investiment alternatives. Transp. Res.; Part B, Methodol. 30(4), 201-307 (1996) (Pubitemid 126394596)
    • (1996) Transportation Research Part B: Methodological , vol.30 , Issue.4 PART B , pp. 291-307
    • Teng, J.-Y.1    Tzeng, G.-H.2
  • 21
    • 0000934663 scopus 로고    scopus 로고
    • Two-phases Method and Branch and Bound Procedures to Solve the Bi-objective Knapsack Problem
    • Visée, M.; Teghem, J.; Pirlot, M.; Ulungu, E.L.: Two-phases method and branch and bound procedures to solve the bi-objective knapsack problem. J. Glob. Optim. 12(2), 139-155 (1998) (Pubitemid 128507670)
    • (1998) Journal of Global Optimization , vol.12 , Issue.2 , pp. 139-155
    • Visee, M.1    Teghem, J.2    Pirlot, M.3    Ulungu, E.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.