Paper Info
Title
Interactive Coordination of Objective Decompositions in Multiobjective Programming
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.
Year
DOI
Venue
2008
10.1287/mnsc.1070.0848
Management Science
Keywords
Field
DocType
interactive coordination,high number,smaller-sized subproblems,multicriteria decision,final solution,decomposed subproblems,multiobjective programming,original problem,design selection problem,objective decompositions,decision maker,interactive coordination method,decomposition approach,portfolio optimization,decomposition,objective function,sensitivity analysis
Mathematical optimization,Economics,Project portfolio management,Decision support system,Operations research,Multicriteria analysis,Multiobjective programming,Portfolio optimization,Decision maker
Journal
Volume
Issue
ISSN
54
7
0025-1909
Citations 
PageRank 
References 
12
0.84
11
Authors
2
Name
Order
Citations
PageRank
Alexander Engau1817.65
Margaret M. Wiecek221322.90