IJPAM: Volume 78, No. 2 (2012)
COMPUTING THE PARETO SET IN THE CRITERION
SPACE FOR THE BICRITERIA LINEAR
Department of Mathematics
University of Sherbrooke
2500, Boul. University, Sherbrooke (Qc), CANADA, J1K 2R1
Abstract. Based on the fact that the Pareto set of a bicriteria linear programming problem is a polygonal line we propose variants of the shooting method to compute this set.
Received: May 5, 2012
AMS Subject Classification: 90C05, 90C29, 90C31
Key Words and Phrases: bicriteria linear programming problem, Pareto set, criterion space, shooting method, normalization, rotation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395