SOLVING THE DISCRETE MULTIPLE CRITERIA PROBLEM USING CONVEX CONES.

Pekka Korhonen*, Jyrki Wallenius, Stanley Zionts

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

154 Citations (Scopus)

Abstract

An interactive method employing pairwise comparisons of attainable solutions is developed for solving the discrete, deterministic multiple criteria problem assuming a single decision maker who has an implicit quasi-concave increasing utility (or value) function. The method chooses an arbitrary set of positive multipliers to generate a proxy composite linear objective function which is then maximized over the set of solutions. The maximizing solution is compared with several solutions using pairwise judgments asked of the decision maker. Responses are used to eliminate alternatives using pairwise judgments asked of the decision maker. Responses are used to eliminate alternatives using convex cones based on expressed preferences, and then a new set of weights is found that satisfies the indicated preferences. The requisite theory and proofs as well as a detailed numerical example are included. In addition, the results of some computational experiments to test the effectiveness of the method are described.

Original languageEnglish
Pages (from-to)1336-1345
Number of pages10
JournalManagement Science
Volume30
Issue number11
Publication statusPublished - Nov 1984
MoE publication typeA1 Journal article-refereed

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