The Adaptive Parameter Control Method and Linear Vector Optimization

作者: Nguyen Thi Thu Huong , Nguyen Dong Yen

DOI: 10.1007/S10013-015-0144-0

关键词: Mathematical optimizationEquidistantVector optimizationMathematicsLinear independenceLinear-fractional programmingLinear programmingSensitivity (control systems)Linear combinationSet (abstract data type)

摘要: The question of constructing a set equidistant points, with given small approximate distance, in the efficient and weakly frontiers linear vector optimization problem general form, is considered this paper. It shown that can be solved by combining Pascoletti–Serafini’s scalarization method (1984) Eichfelder’s adaptive parameter control (2009) sensitivity analysis formula programming, which was obtained J. Gauvin (2001). Our investigation shows one avoid strong second-order sufficient condition used G. Eichfelder, cannot imposed on problems.

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