Multiple optimal solutions to a sort of nonlinear optimization problem

The optimization problem is considered in which the objective function is pseudolinear(both pseudoconvex and pseudoconcave) and the constraints are linear. The general expression for the optimal solutions to the problem is derived with the representation theorem of polyhedral sets, and the uniquenes...

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Bibliographic Details
Published in:Journal of systems engineering and electronics 2007-03, Vol.18 (1), p.63-67
Main Author: Xue, Shengjia
Format: Article
Language:English
Subjects:
Convex simplex method
Multiple optimal solutions
Polyhedral set
Pseudolinear optimization problem
Representation theorem
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Summary:The optimization problem is considered in which the objective function is pseudolinear(both pseudoconvex and pseudoconcave) and the constraints are linear. The general expression for the optimal solutions to the problem is derived with the representation theorem of polyhedral sets, and the uniqueness condition of the optimal solution and the computational procedures to determine all optimal solutions (if the uniqueness condition is not satisfied) are provided. Finally, an illustrative example is also given.
ISSN:1004-4132
1004-4132
DOI:10.1016/S1004-4132(07)60052-8