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(0, 1) hyperbolic programming problems

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  • Pierre Robillard

Abstract

In the first part of this paper we study the unconstrained {0, 1} hyperbolic programming problem treated in [1]. We describe a new algorithm for this problem which produces an optimal solution by scanning just once the set of fractions to be analysed. This algorithm shows better computing performance than the one described in [1]. In the second part we study the {0, 1} hyperbolic programming problem with constraints given by inequalities on nondeereasing pseudo‐boolean functions. We describe a “branch and bound” type algorithm for this problem.

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  • Pierre Robillard, 1971. "(0, 1) hyperbolic programming problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 18(1), pages 47-57, March.
    • Handle: RePEc:wly:navlog:v:18:y:1971:i:1:p:47-57
    DOI: 10.1002/nav.3800180104
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    Cited by:

    1. Park, Chong Hyun & Lim, Heejong, 2021. "A parametric approach to integer linear fractional programming: Newton’s and Hybrid-Newton methods for an optimal road maintenance problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1030-1039.
    2. Chong Hyun Park & Gemma Berenguer, 2020. "Supply Constrained Location‐Distribution in Not‐for‐Profit Settings," Production and Operations Management, Production and Operations Management Society, vol. 29(11), pages 2461-2483, November.

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