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Multiobjective (Combinatorial) Optimisation—Some Thoughts on Applications

In: Multiobjective Programming and Goal Programming

Author

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  • Matthias Ehrgott

    (The University of Auckland)

Abstract

In recent years there have been considerable advances in methodology (exact and heuristic algorithms) to solve multiobjective optimization problems. Combined with the rapid improvement in computing technology, this means that large scale multiobjective optimization problems arising in real world applications have become tractable. In this paper, I outline some application areas and illustrate how the application of multiple objective methods provide secondary benefits such as additional insight in the application area and improved processes. These benefits are in addition to the primary benefits of more realistic modelling and better decision support by including the conflicting goals that decision makers usually face. However, the study of real world applications also motivates research on the mathematical aspects of multiobjective optimization. I illustrate this win—win situation using examples drawn from finance (portfolio optimization), transportation (train timetabling, airline crew scheduling), medicine (radiotherapy treatment planning), and telecommunication (routing in networks).

Suggested Citation

  • Matthias Ehrgott, 2009. "Multiobjective (Combinatorial) Optimisation—Some Thoughts on Applications," Lecture Notes in Economics and Mathematical Systems, in: Vincent Barichard & Matthias Ehrgott & Xavier Gandibleux & Vincent T'Kindt (ed.), Multiobjective Programming and Goal Programming, pages 267-282, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-85646-7_25
    DOI: 10.1007/978-3-540-85646-7_25
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