- Title
- Optimization methods for mixed integer weakly concave programming problems
- Creator
- Wu, Zhiyou; Bai, Fusheng; Yang, Yong-jian; Jiang, Feng
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/54562
- Identifier
- vital:6310
- Identifier
-
https://doi.org/10.1007/s40305-014-0046-y
- Identifier
- ISSN:2194-6698
- Abstract
- In this paper, we consider a class of mixed integer weakly concave programming problems (MIWCPP) consisting of minimizing a difference of a quadratic function and a convex function. A new necessary global optimality conditions for MIWCPP is presented in this paper. A new local optimization method for MIWCPP is designed based on the necessary global optimality conditions, which is different from the traditional local optimization method. A global optimization method is proposed by combining some auxiliary functions and the new local optimization method. Furthermore, numerical examples are also presented to show that the proposed global optimization method for MIWCPP is efficient.
- Publisher
- Springer Berlin
- Relation
- Journal of the Operations Research Society of China Vol. 2, no. 2 (July 2014 2014), p. 195-222
- Rights
- Copyright © 2014 Operations Research Society of China, Periodicals Agency of Shanghai University, and Springer-Verlag Berlin Heidelberg.
- Rights
- This metadata is freely available under a CCO license
- Subject
- Global optimality conditions; Global optimization method; Local optimization method; Mixed integer weakly concave programming problems
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