Mutiobjective Programming

Matthias Ehrgott () and Margaret M. Wiecek ()
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Matthias Ehrgott: The University of Auckland
Margaret M. Wiecek: Clemson University

Chapter Chapter 17 in Multiple Criteria Decision Analysis: State of the Art Surveys, 2005, pp 667-708 from Springer

Abstract: Abstract We present our view of the state of the art in multiobjective programming. After an introduction we formulate the multiobjective program (MOP) and define the most important solution concepts. We then summarize the properties of efficient and nondominated sets. In Section 4 optimality conditions are reviewed. The main part of the chapter consists of Sections 5 and 6 that deal with solution techniques for MOPs and approximation of efficient and nondominated sets. In Section 7 we discuss specially-structured problems including linear and discrete MOPs as well as selected nonlinear MOPs. In Section 8 we present our perspective on future research directions.

Keywords: Multiobjective programming; efficient solution; nondominated solution; scalarization; approximation (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/0-387-23081-5_17

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