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


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.


Mathematical Modeling Equilibrium Condition Local Minimum Industrial Mathematic Iterative Procedure 
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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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