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A branch and bound algorithm for solving a class of nonlinear integer programming problems

Author

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  • A. Victor Cabot
  • S. Selcuk Erenguc

Abstract

This article presents a branch and bound method for solving the problem of minimizing a separable concave function over a convex polyhedral set where the variables are restricted to be integer valued. Computational results are reported.

Suggested Citation

  • A. Victor Cabot & S. Selcuk Erenguc, 1986. "A branch and bound algorithm for solving a class of nonlinear integer programming problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(4), pages 559-567, November.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:4:p:559-567
    DOI: 10.1002/nav.3800330403
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    Cited by:

    1. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2021. "A General Purpose Exact Solution Method for Mixed Integer Concave Minimization Problems," IIMA Working Papers WP 2021-03-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    2. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2023. "A general purpose exact solution method for mixed integer concave minimization problems," European Journal of Operational Research, Elsevier, vol. 309(3), pages 977-992.
    3. Sinha, Ankur & Das, Arka & Anand, Guneshwar & Jayaswal, Sachin, 2021. "A General Purpose Exact Solution Method for Mixed Integer Concave Minimization Problems (revised as on 12/08/2021)," IIMA Working Papers WP 2021-03-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    4. Leonida Emilia BACIU & Vincentiu VERES & Maria MORTAN & Angela-Eliza MICU, 2023. "An Empirical Approach for Optimizing the Production Structure of a Farm Using the Linear Programming Model," Economics and Applied Informatics, "Dunarea de Jos" University of Galati, Faculty of Economics and Business Administration, issue 3, pages 87-94.

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