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Multiobjective Geometric Programming

In: Mathematical Optimization and Economic Analysis

Author

Listed:
  • Mikuláš Luptáčik

    (WU Vienna University of Economics and Business, Department of Economics)

  • Klaus Prettner

    (WU Vienna University of Economics and Business, Department of Economics)

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.

Suggested Citation

  • Mikuláš Luptáčik & Klaus Prettner, 2026. "Multiobjective Geometric Programming," Springer Optimization and Its Applications, in: Mathematical Optimization and Economic Analysis, edition 0, chapter 9, pages 305-322, Springer.
    • Handle: RePEc:spr:spochp:978-1-0716-5076-9_9
    DOI: 10.1007/978-1-0716-5076-9_9
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