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Multi-Objective Optimization: Methods and Applications

In: The Palgrave Handbook of Operations Research

Author

Listed:
  • Dylan F. Jones

    (University of Portsmouth)

  • Helenice O. Florentino

    (São Paulo State University (Unesp))

Abstract

Multi-objective optimizationMulti-Objective Optimization is concerned with finding solutions to a decision problem with multiple, normally conflicting objectives. This chapter focusses on multi-objective optimization problems that can be characterized within the paradigm of mathematical programming. Three modelling techniques that are well established in the literature are presented: Pareto set generation, goal programming and compromise programming. Each method is described, along with its strengths, weaknesses and areas of application. The underlying assumptions and philosophies of each method, nature of interaction of decision makers and nature of solutions produced is discussed and compared between the three methods. A small but representative example is given for each method and the results are discussed and conclusions are drawn.

Suggested Citation

  • Dylan F. Jones & Helenice O. Florentino, 2022. "Multi-Objective Optimization: Methods and Applications," Springer Books, in: Saïd Salhi & John Boylan (ed.), The Palgrave Handbook of Operations Research, chapter 0, pages 181-207, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-96935-6_6
    DOI: 10.1007/978-3-030-96935-6_6
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