Abstract
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.
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References and Further Reading
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.
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.
O. Lange, The foundations of welfare economics, Econometrica, 10 (1942), 215–228.
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.
L. D. Pascual and A. Ben-Israel,Vector-valued criteria in geometric programming, Oper. Res., 19 (1971), 98–104.
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Luptáčik, M. (2010). Multiobjective Geometric Programming. In: Mathematical Optimization and Economic Analysis. Springer Optimization and Its Applications, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-0-387-89552-9_9
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DOI: https://doi.org/10.1007/978-0-387-89552-9_9
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