4.7 Article

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

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 260, Issue -, Pages 180-190

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2013.09.075

Keywords

Interval linear programming; Strong feasible solutions; Strong optimal solutions; Tangent cone

Funding

  1. National Natural Science Foundation of China [11171316]
  2. NSF of Zhejiang [LY12A01004]

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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. (C) 2013 Elsevier B.V. All rights reserved.

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