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On a decomposition for a special class of geometric programming problems

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Abstract

Optimization of physical systems consisting of interrelated subsystems which can be formulated as geometric programming problems is considered. Necessary and sufficient conditions are derived for decomposing the optimization of a special class of such systems into a sequence of subsystem optimizations. An example is presented.

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References

  1. Zener, C.,A Mathematical Aid in Optimizing Engineering Designs, Proceedings of the National Academy of Sciences, Vol. 47, No. 6, 1961.

  2. Duffin, R. J., Peterson, E. L., andZener, C.,Geometric Programming—Theory and Applications, John Wiley and Sons, New York, 1967.

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  3. Zener, C.,Minimization of System Costs in Terms of Subsystem Costs, Proceedings of the National Academy of Sciences, Vol. 51, No. 2, 1964.

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Authors and Affiliations

  1. Department of Chemical Engineering, University of the Negev, Beersheba, Israel

    M. Heymann (Senior Lecturer)

  2. Department of Chemical Engineering, Technion, Israel Institute of Technology, Haifa, Israel

    M. Avriel (Senior Lecturer)

Authors
  1. M. Heymann
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  2. M. Avriel
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Additional information

Communicated by R. A. Howard

This research was completed at the Mobil Research and Development Corporation, Central Research Division Laboratory, Princeton, New Jersey.

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Heymann, M., Avriel, M. On a decomposition for a special class of geometric programming problems. J Optim Theory Appl 3, 392–409 (1969). https://doi.org/10.1007/BF00929355

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  • DOI: https://doi.org/10.1007/BF00929355

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