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Journal of Optimization Theory and Applications

, Volume 26, Issue 2, pp 149–183 | Cite as

Current state of the art of algorithms and computer software for geometric programming

  • R. S. Dembo
Contributed Papers

Abstract

This paper attempts to consolidate over 15 years of attempts at designing algorithms for geometric programming (GP) and its extensions. The pitfalls encountered when solving GP problems and some proposed remedies are discussed in detail. A comprehensive summary of published software for the solution of GP problems is included. Also included is a numerical comparison of some of the more promising recently developed computer codes for geometric programming on a specially chosen set of GP test problems. The relative performance of these codes is measured in terms of their robustness as well as speed of computation. The performance of some general nonlinear programming (NLP) codes on the same set of test problems is also given and compared with the results for the GP codes. The paper concludes with some suggestions for future research.

Key Words

Geometric programming state of the art signomial programhing nonlinear programming software 

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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • R. S. Dembo
    • 1
  1. 1.School of Organization and ManagementYale UniversityNew Haven

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