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An algorithm for solving general fractional interval programming problems

Author

Listed:
  • A. Charnes
  • Daniel Granot
  • Frieda Granot

Abstract

A Linear Fractional Interval Programming problem (FIP) is the problem of extremizing a linear fractional function subject to two‐sided linear inequality constraints. In this paper we develop an algorithm for solving (FIP) problems. We first apply the Charnes and Cooper transformation on (FIP) and then, by exploiting the special structure of the pair of (LP) problems derived, the algorithm produces an optimal solution to (FIP) in a finite number of iterations.

Suggested Citation

  • A. Charnes & Daniel Granot & Frieda Granot, 1976. "An algorithm for solving general fractional interval programming problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 67-84, March.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:1:p:67-84:2
    DOI: 10.1002/nav.3800230107
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