Computing Pareto set in the criterion space for bicriteria linear programs using a single criterion software
by François Dubeau; Marie Emmanuel Ntigura Habingabwa
International Journal of Operational Research (IJOR), Vol. 43, No. 4, 2022

Abstract: In case of a mathematical programming problem with conflicting criteria, the Pareto set is a useful tool for a decision-maker. Based on the geometric properties of the Pareto set for a bicriteria linear program, we present a simple method to compute this set in the criterion space. We describe completely the algorithm and analyse its complexity. We illustrate the method by solving in details two simple examples. It is important to observe that the method requires only a basic linear program solver.

Online publication date: Fri, 13-May-2022

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