Checking strong optimality of interval linear programming with inequality constraints and nonnegative constraints

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摘要

This paper considers optimal solutions of interval linear programming problems, in a unified framework. Necessary and sufficient conditions for checking (A,b)-strong optimality and (A,b,c)-strong optimality of interval linear programming with inequality constraints are developed. The features of the proposed methods are illustrated by some examples.

论文关键词:90-xx,65-xx,Interval linear programming,Strong feasible solutions,Strong optimal solutions,Tangent cone

论文评审过程:Received 5 May 2013, Revised 19 August 2013, Available online 8 October 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.09.075