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Start Over Topic constrained optimization Topic mathematical analysis Journal applied mathematical modelling Database Academic Search Index
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1. A multiobjective based approach for mathematical programs with linear flexible constraints

Author

Yaghoobi, M.A., Pourkarimi, L., and Mashinchi, M.

Subjects
*LINEAR programming, *LINEAR systems, *NUMERICAL analysis, *CONSTRAINED optimization, *SET theory, *MATHEMATICAL analysis
Abstract

Abstract: In this paper a mathematical problem with linear flexible constraints is considered. In order to solve the problem an approach is proposed based on multiobjective linear programming. Indeed, allowing violations for the constraints, and using multiobjective linear programming to minimize these violations, a subset of solution set which has less violations, namely efficiently feasible set, is obtained. Then, the corresponding objective function is optimized over efficiently feasible set in order to obtain an optimal solution. An application of the proposed approach in pattern classification is introduced. [Copyright &y& Elsevier]

Published
2012
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2. An active set limited memory BFGS algorithm for bound constrained optimization

Author

Yuan, Gonglin and Lu, Xiwen

Subjects
*CONSTRAINED optimization, *SET theory, *ALGORITHMS, *STOCHASTIC convergence, *NUMERICAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, an active set limited BFGS algorithm is proposed for bound constrained optimization. The global convergence will be established under some suitable conditions. Numerical results show that the given method is effective. [Copyright &y& Elsevier]

Published
2011
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