Multiobjective Geometric Programming

  • Mikuláš Luptáčik
Part of the Springer Optimization and Its Applications book series (SOIA, volume 36)


As shownin Chapter 6, problems leading to geometric programming models arise very often, not only in engineering design but also in economics and management science.Referring to the introductory discussion in Chapter 7, it seems obvious to include geometric programming problems with several objectives in our consideration. A nonlinear model of environmental control from Section 7.1.6 provides one example and will be analyzed in Section 9.3.


Dual Variable Damage Cost Multiobjective Optimization Problem Geometric Programming Environmental Investment 
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References and Further Reading

  1. [1]
    M. Brown and N. Revankar,A generalized theory of the firm: An integration of the sales and profit maximization hypothesis, Kyklos, 24-3 (1971), 427–443.CrossRefGoogle Scholar
  2. [2]
    F. Hof and M. Luptáčik, Optimal behaviour of a monopolist facing a bicriteria objective function: A reconsideration, Politická Ekon. (Political Econ.) XLI, 5 (1993), 662–679.Google Scholar
  3. [3]
    O. Lange, The foundations of welfare economics, Econometrica, 10 (1942), 215–228.CrossRefGoogle Scholar
  4. [4]
    A. P. Mastenbroek and P. Nijkamp, A spatial environmental model for an optimal allocation of investments, in P. Nijkamp, ed., Environmental Economics, Vol.2: Methods, Nijhoff Social Sciences, Leiden, The Netherlands, 1976.Google Scholar
  5. [5]
    L. D. Pascual and A. Ben-Israel,Vector-valued criteria in geometric programming, Oper. Res., 19 (1971), 98–104.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag New York 2010

Authors and Affiliations

  1. 1.Department of EconomicsVienna University of Economics and Business AdministrationViennaAustria

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