Reducing wall-clock time for the computation of all efficient extreme points in multiple objective linear programming

Craig A. Piercy and Ralph E. Steuer

European Journal of Operational Research, 2019, vol. 277, issue 2, 653-666

Abstract: This paper describes an approach for markedly reducing the time required to obtain all efficient extreme points of a multiple objective linear program (MOLP) with three objectives. The approach is particularly useful when working with such MOLPs possessing large numbers of efficient extreme points. By subdividing the criterion cone into sub-cones, the paper shows how the task of computing all efficient extreme points can be broken down into parts so that the parts can be solved concurrently, thus allowing all efficient extreme points to be computed in much reduced elapsed time. The paper investigates several schemes for conducting this task and reports on a volume of computational experience.

Keywords: Multiple objective programming; Efficient extreme points; Nondominated vertices; Distributed processing; Criterion cones (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:277:y:2019:i:2:p:653-666

DOI: 10.1016/j.ejor.2019.02.042

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