Quadratic Assignment Problem

Apr 30th, 2015
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Abstract Quadratic assignment problem is one of the most known and challenging combinatorial optimization problems. In this study, a new tabu search algorithm is proposed to solve the quadratic assignment problem. Proposed algorithm is tested with different tabu search elements such as neighborhood size, size of the tabu list, termination condition.

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Quadratic Assignment ProblemTabu Search Algorithm for the Quadratic Assignment ProblemDepartment of Industrial Engineering Koc University, Istanbul, Turkey gkirlik@ku.edu.trGokhan Kirlik April 16, 2010Abstract Quadratic assignment problem is one of the most known and challenging combinatorial optimization problems. In this study, a new tabu search algorithm is proposed to solve the quadratic assignment problem. Proposed algorithm is tested with dierent tabu search elements such as neighborhood size, size of the tabu list, termination condition. The performance of the proposed approach is tested on with 25, 50 and 100-department instances which are taken from QAPLib.1IntroductionQuadratic assignment problem (QAP) is rstly introduced by Koopmans and Beckman in 1957 [5]. It can be described as follows: given nn matrices A = (aij ) and B = (bij ) where matrices represent ow and distance, respectively. Find a permutation minimizing n nmin f () Q (n)=i=1 j=1aij bi jwhere (n) is the set of permutations of n elements [1]. Shani and Gonzalez have shown that QAP is NP-hard [8]. Solving this problem optimality for the large instances is computationally infeasible. Therefore, heuristic approaches have to be used for solving medium- and large-scale QAPs. In this 1study, tabu search (TS) algorithm is used to solve QAP. Tabu search technique was developed by Glover [2, 3]. This method has become very popular and is widely used for a v

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