Exact methods for multi-objective combinatorial optimisation

Ehrgott, Matthias and Gandibleux, Xavier and Przybylski, Anthony (2016) Exact methods for multi-objective combinatorial optimisation. In: Multiple criteria decision analysis : state of the art surveys. International Series in Operations Research and Management Science (2nd). Springer, New York, pp. 817-850. ISBN 9781493930937

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In this chapter we consider multi-objective optimisation problems with a combinatorial structure. Such problems have a discrete feasible set and can be formulated as integer (usually binary) optimisation problems with multiple (integer valued) objectives. We focus on a review of exact methods to solve such problems. First, we provide definitions of the most important classes of solutions and explore properties of such problems and their solution sets. Then we discuss the most common approaches to solve multi-objective combinatorial optimisation problems. These approaches include extensions of single objective algorithms, scalarisation methods, the two-phase method and multi-objective branch and bound. For each of the approaches we provide references to specific algorithms found in the literature. We end the chapter with a description of some other algorithmic approaches for MOCO problems and conclusions suggesting directions for future research.

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?? multi-objective optimisationcombinatorial optimisationexact methodsscalarisationbranch and boundtwo-phase method ??
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16 Aug 2016 12:30
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16 Jul 2024 03:52