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Nonlinear integer programming for various forms of constraints

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  • Mary W. Cooper
  • Keyvan Farhangian

Abstract

A theoretical and computational investigation is made of the performance of a dynamic‐programming‐based algorithm for nonlinear integer problems with various types of constraints. We include linear constraints, aggregated linear constraints, separable nonlinear constraints and constraints involving maxima and minima. Separability of the objective function is assumed. The new feature of the algorithm is that two types of fathoming or pruning are used to reduce the size of tables and number of computations: fathoming by bounds and fathoming by infeasibility.

Suggested Citation

  • Mary W. Cooper & Keyvan Farhangian, 1982. "Nonlinear integer programming for various forms of constraints," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 585-592, December.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:4:p:585-592
    DOI: 10.1002/nav.3800290406
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