Nyiam, Paschal B and Salhi, Abdellah (2019) A comparative study of two key algorithms in multiple objective linear programming. Journal of Algorithms & Computational Technology, 13. p. 174830261987042. DOI https://doi.org/10.1177/1748302619870424
Nyiam, Paschal B and Salhi, Abdellah (2019) A comparative study of two key algorithms in multiple objective linear programming. Journal of Algorithms & Computational Technology, 13. p. 174830261987042. DOI https://doi.org/10.1177/1748302619870424
Nyiam, Paschal B and Salhi, Abdellah (2019) A comparative study of two key algorithms in multiple objective linear programming. Journal of Algorithms & Computational Technology, 13. p. 174830261987042. DOI https://doi.org/10.1177/1748302619870424
Abstract
Multiple objective linear programming problems are solved with a variety of algorithms. While these algorithms vary in philosophy and outlook, most of them fall into two broad categories: those that are decision space-based and those that are objective space-based. This paper reports the outcome of a computational investigation of two key representative algorithms, one of each category, namely the parametric simplex algorithm which is a prominent representative of the former and the primal variant of Bensons Outer-approximation algorithm which is a prominent representative of the latter. The paper includes a procedure to compute the most preferred nondominated point which is an important feature in the implementation of these algorithms and their comparison. Computational and comparative results on problem instances ranging from small to medium and large are provided.
Item Type: | Article |
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Uncontrolled Keywords: | Multiple objective linear programming, parametric simplex algorithm, outer-approximation algorithm, most preferred nondominated point, multiple criteria decision making |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 11 Jul 2020 09:33 |
Last Modified: | 30 Oct 2024 21:12 |
URI: | http://repository.essex.ac.uk/id/eprint/28185 |
Available files
Filename: 1748302619870424.pdf
Licence: Creative Commons: Attribution 3.0