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解可分离约束双凹规划问题的一种外逼近方法(英文)

An Outer Approximation Method for Solving the Biconcave Programs with Separable Linear Constraints
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摘要 在本文中 ,我们提出了双凹规划问题和更一般的广义凹规划问题 .我们给出了双凹规划问题的整体最优性条件 ,并构造了一个有限终止外逼近算法 . In this paper, we put forward biconcave programming problem and generalized concave programming problem more generally. We give the global optimality conditions of biconcave programming programming problem and structure a outer approximation algorithm for solving the biconcave programming problem with separable linear constraints.
出处 《应用数学》 CSCD 北大核心 2002年第3期42-46,共5页 Mathematica Applicata
基金 ThisworkissupportedbyNNSFofChina(199710 6 5 )
关键词 双凹规划 广义凹规划 整体优化 外逼近方法 可分离约束 biconcave programming generalized concave programming global optimization outer approximation method separable constraints
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参考文献3

  • 1Douglas J. White. A linear programming approach to solving bilinear programmes[J] 1992,Mathematical Programming(1-3):45~50
  • 2R. Horst. Deterministic global optimization with partition sets whose feasibility is not known: Application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization[J] 1988,Journal of Optimization Theory and Applications(1):11~37
  • 3Tran Vu Thieu. A note on the solution of bilinear programming problems by reduction to concave minimization[J] 1988,Mathematical Programming(1-3):249~260

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