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A Condensation Algorithm for a Class of Algebraic Programs

Author

Listed:
  • Mordecai Avriel

    (Technion, Israel Institute of Technology, Haifa, Israel)

  • Victoria Gurovich

    (Technion, Israel Institute of Technology, Haifa, Israel)

Abstract

We present a class of algebraic programs, illustrated by examples in optimal location-allocation problems, discrete approximations, and multiplier methods. This class can be characterized by objective and constraint functions consisting of absolute values of rational functions of posynomials raised to positive powers. Next, we derive an algorithm consisting of monomial condensations and cutting planes, extending the Avriel-Williams complementary geometric programming method.

Suggested Citation

  • Mordecai Avriel & Victoria Gurovich, 1977. "A Condensation Algorithm for a Class of Algebraic Programs," Operations Research, INFORMS, vol. 25(1), pages 78-88, February.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:1:p:78-88
    DOI: 10.1287/opre.25.1.78
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