Multiobjective Geometric Programming

Mikuláš Luptáčik () and Klaus Prettner
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Mikuláš Luptáčik: WU Vienna University of Economics and Business, Department of Economics

Chapter 9 in Mathematical Optimization and Economic Analysis, 2026, pp 305-322 from Springer

Abstract: Abstract This chapter extends geometric programming techniques to multiobjective settings. After defining multiobjective posynomial problems, it explores duality and solution methods adapted from single-objective cases. Applications highlight how geometric programming can handle nonlinear trade-offs in cost, output, and efficiency objectives. This includes problems such as the maximization of production and contemporaneous maximization of environmental quality, the model of a monopolistic firm that maximizes revenue and profit, and the nonlinear model of environmental control.

Date: 2026
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DOI: 10.1007/978-1-0716-5076-9_9

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