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Multiobjective programming. (English) Zbl 1072.90031
Figueira, José (ed.) et al., Multiple criteria decision analysis. State of the art surveys. New York, NY: Springer (ISBN 0-387-23067-X/hbk). International Series in Operations Research & Management Science 78, 667-722 (2005).
Summary: 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.
For the entire collection see [Zbl 1060.90002].

MSC:
90C29 Multi-objective and goal programming
90B50 Management decision making, including multiple objectives
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