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The nonlinear knapsack problem - algorithms and applications

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  • Bretthauer, Kurt M.
  • Shetty, Bala
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    File URL: http://www.sciencedirect.com/science/article/B6VCT-451NGBW-1/2/4931db441ad956876ad2157283561b68
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 138 (2002)
    Issue (Month): 3 (May)
    Pages: 459-472

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    Handle: RePEc:eee:ejores:v:138:y:2002:i:3:p:459-472

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    Web page: http://www.elsevier.com/locate/eor

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    1. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    2. Gabriel R. Bitran & Arnoldo C. Hax, 1981. "Disaggregation and Resource Allocation Using Convex Knapsack Problems with Bounded Variables," Management Science, INFORMS, vol. 27(4), pages 431-441, April.
    3. Bretthauer, Kurt M. & Ross, Anthony & Shetty, Bala, 1999. "Nonlinear integer programming for optimal allocation in stratified sampling," European Journal of Operational Research, Elsevier, vol. 116(3), pages 667-680, August.
    4. Michelon, Philippe & Veilleux, Louis, 1996. "Lagrangean methods for the 0-1 Quadratic Knapsack Problem," European Journal of Operational Research, Elsevier, vol. 92(2), pages 326-341, July.
    5. Billionnet, Alain & Calmels, Frederic, 1996. "Linear programming for the 0-1 quadratic knapsack problem," European Journal of Operational Research, Elsevier, vol. 92(2), pages 310-325, July.
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    Cited by:
    1. Edwin Romeijn, H. & Zeynep Sargut, F., 2011. "The stochastic transportation problem with single sourcing," European Journal of Operational Research, Elsevier, vol. 214(2), pages 262-272, October.
    2. Sathaye, Nakul & Madanat, Samer, 2011. "A bottom-up solution for the multi-facility optimal pavement resurfacing problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1004-1017, August.
    3. Aktas, Emel & Ulengin, Fusun & Onsel Sahin, Sule, 2007. "A decision support system to improve the efficiency of resource allocation in healthcare management," Socio-Economic Planning Sciences, Elsevier, vol. 41(2), pages 130-146, June.
    4. AgralI, Semra & Geunes, Joseph, 2009. "Solving knapsack problems with S-curve return functions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 605-615, March.
    5. DePaolo, Concetta A. & Rader, David Jr., 2007. "A heuristic algorithm for a chance constrained stochastic program," European Journal of Operational Research, Elsevier, vol. 176(1), pages 27-45, January.
    6. Isada, Yuriko & James, Ross J. W. & Nakagawa, Yuji, 2005. "An approach for solving nonlinear multi-objective separable discrete optimization problem with one constraint," European Journal of Operational Research, Elsevier, vol. 162(2), pages 503-513, April.
    7. Zoroa, N. & Zoroa, P. & Fernández-Sáez, M.J., 2009. "Weighted search games," European Journal of Operational Research, Elsevier, vol. 195(2), pages 394-411, June.
    8. Kameshwaran, S. & Narahari, Y., 2009. "Nonconvex piecewise linear knapsack problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 56-68, January.

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