INTERACTIVE PROGRAMMING METHOD FOR SOLVING THE MULTIPLE CRITERIA PROBLEM.

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Abstract

A man-machine interactive mathematical programming method is presented for solving the multiple criteria problem involving a single decision maker. It is assumed that all decision-relevant criteria or objective functions are concave functions to be maximized, and that the constraint set is convex. The overall utility function is assumed to be unknown explicitly to the decision maker, but is assumed to be implicitly a linear function, and more generally a concave function of the objective functions. To solve a problem involving multiple objectives the decision maker is requested to provide answers to yes and no questions regarding certain trade offs that he likes or dislikes. Convergence of the method is proved; a numerical example is presented. Test of the method as well as an extension of the method for solving integer linear programming problems are also described.

Details

Original languageEnglish
Pages (from-to)652-663
Number of pages12
JournalManagement Science
Volume22
Issue number6
Publication statusPublished - Feb 1976
MoE publication typeA1 Journal article-refereed

ID: 9890310