Modified Algorithm to Compute Pareto-Optimal Vectors

V. N. Sastry and S. Ismail Mohideen
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V. N. Sastry: Regional Engineering College, Tiruchirappalli
S. Ismail Mohideen: Jamal Mohamed College

Journal of Optimization Theory and Applications, 1999, vol. 103, issue 1, No 12, 244 pages

Abstract: Abstract Finding Pareto-minimum vectors among r given vectors, each of dimension m, is a fundamental problem in multiobjective optimization problems or multiple-criteria decision-making problems. Corley and Moon (Ref. 1) have given an algorithm for finding all the Pareto-minimum paths of a multiobjective network optimization problem from the initial node to any other node. It uses another algorithm by Corley and Moon, which actually computes the Pareto-minimum vectors. We observed that the latter algorithm is incorrect. In this note, we correct the algorithm for computing Pareto-minimum vectors and present a modified algorithm.

Keywords: Pareto-minimum vectors; multiple objectives; network optimization; multiple-criteria decision making (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021737819929

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