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Nonlinear 0-1 knapsack problem with capacity selection

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  • Jayaswal, Sachin

Abstract

We study a nonlinear 0-1 knapsack problem with capacity selection decision, as it arises as a part of facility location/service system design problems with congestion. The capacity selection decision gives rise to a non-convex objective function. We present two cutting plane based solution approaches: one based on Generalized Benders decomposition based, and the other based on a reformulation of the problem using additional auxiliary variables, followed by outer linearization of a resulting simple concave func- tion in the constraint.

Suggested Citation

  • Jayaswal, Sachin, 2016. "Nonlinear 0-1 knapsack problem with capacity selection," IIMA Working Papers WP2016-03-10, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:14431
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    References listed on IDEAS

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    1. Alberto Caprara & David Pisinger & Paolo Toth, 1999. "Exact Solution of the Quadratic Knapsack Problem," INFORMS Journal on Computing, INFORMS, vol. 11(2), pages 125-137, May.
    2. Amiri, Ali, 1998. "The design of service systems with queueing time cost, workload capacities and backup service," European Journal of Operational Research, Elsevier, vol. 104(1), pages 201-217, January.
    3. Martello, Silvano & Pisinger, David & Toth, Paolo, 2000. "New trends in exact algorithms for the 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 123(2), pages 325-332, June.
    4. Bretthauer, Kurt M. & Shetty, Bala, 2002. "The nonlinear knapsack problem - algorithms and applications," European Journal of Operational Research, Elsevier, vol. 138(3), pages 459-472, May.
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