Journal
KNOWLEDGE-BASED SYSTEMS
Volume 62, Issue -, Pages 47-56Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2014.02.015
Keywords
Bi-objective optimization; Constrained non-linear integer optimization; Differential Evolution; Tabu Search; TOPSIS
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This paper presents a novel method to find multiple solutions of multi-modal constrained non-linear integer optimization problems. First, the constrained optimization problem is cast into a hi-objective optimization problem, where the constraints are inserted as another objective function. Next, the novel method to solve multi-objective optimization problems is developed and applied to solve the reformulated problem. The novel method developed to solve multi-objective optimization problems is based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) whereas the multi-objective problem is cast in single-objectives problems. The Differential Evolution (DE) algorithm in its three versions (standard DE, DEbest and DEGL) are used as optimizer. Since the solutions found by the DE algorithms are continuous, a Tabu Searh (TS) is employed to find integer solutions during the optimization process. Experimental results show the effectiveness of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.
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