Journal of Engineering Mathematics

, Volume 8, Issue 4, pp 311–314 | Cite as

Constrained derivatives and equilibrium conditions in generalized geometric programming

  • D. T. Phillips
  • G. V. Reklaitis
Article
  • 16 Downloads

Summary

This paper demonstrates that the “equilibrium conditions” of generalized geometric programming can be interpreted as constrained derivatives of a transform of the dual program to the generalized geometric programming primal. Thus, iterative procedures employing these conditions amount to direct solution of the necessary conditions for a local minimum of the transformed dual expressed in constrained derivative form under the constraint qualification of nonsingularity and nondegeneracy.

Keywords

Mathematical Modeling Equilibrium Condition Local Minimum Industrial Mathematic Iterative Procedure 

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References

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    D. T. Phillips, Geometric Programming with Slack Constraints and Degrees of Difficulty,AIIE Transactions, (1973) 7–13.Google Scholar
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    G. V. Reklaitis and D. J. Wilde, Necessary Conditions for a Local Optimum without Prior Constraint Qualifications, inOptimizing Methods in Statistics, J. S. Rustagi (ed.), Academic Press, New York (1971).Google Scholar
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    M. Avriel, M. J. Rijckaert and D. J. Wilde,Optimization and Design, Prentice-Hall, Inc. (1973).Google Scholar
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    D. J. Wilde and C. S. Beightler,Foundations of Optimization, Prentice-Hall, Englewood Cliffs, New Jersey (1967), Chapter 3.Google Scholar

Copyright information

© Noordhoff International Publishing 1974

Authors and Affiliations

  • D. T. Phillips
    • 1
  • G. V. Reklaitis
    • 1
  1. 1.School of Chemical EngineeringPurdue UniversityWest LafayetteUSA

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