Interactive Coordination of Objective Decompositions in Multiobjective Programming

Alexander Engau () and Margaret M. Wiecek ()
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Alexander Engau: Department of Management Sciences, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Margaret M. Wiecek: Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634

Management Science, 2008, vol. 54, issue 7, 1350-1363

Abstract: To remedy challenges resulting from a high number of objectives in multiobjective programming and multicriteria decision making, this paper chooses to decompose the vector objective function and characterizes the relationships between solutions for the original problem and the collection of decomposed subproblems. In particular, it is shown how solutions that are found using this decomposition approach relate to solutions found by traditional scalarization techniques. For the selection of a final solution, two interactive coordination methods are proposed that allow to find any solution for the original problem by merely solving the smaller-sized subproblems, while integrating both preferences of the decision maker and trade-off information obtained from a sensitivity analysis. A theoretical foundation for the procedures is established, and their application is illustrated for portfolio optimization and a design selection problem.

Keywords: multiobjective programming; decomposition; coordination; interactive decision making (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:54:y:2008:i:7:p:1350-1363

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