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Multiple optimal solutions to a sort of nonlinear optimization problem 被引量:2
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作者 Xue Shengjia 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期63-67,共5页
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 pro... 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. 展开更多
关键词 Pseudolinear optimization problem Polyhedral set representation theorem Multiple optimal solutions Convex simplex method
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