A new hybrid approach based on discrete differential evolution algorithm to enhancement solutions of quadratic assignment problem

Hameed, A.; Aboobaider, B.; Mutar, M.; Choon, N.

Growing Science » International Journal of Industrial Engineering Computations » A new hybrid approach based on discrete differential evolution algorithm to enhancement solutions of quadratic assignment problem

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International Journal of Industrial Engineering Computations

ISSN 1923-2934 (Online) - ISSN 1923-2926 (Print) Quarterly Publication Volume 11 Issue 1 pp. 51-72 , 2020

A new hybrid approach based on discrete differential evolution algorithm to enhancement solutions of quadratic assignment problem Pages 51-72 Download PDF

Authors: Asaad Shakir Hameed, Burhanuddin Mohd Aboobaider, Modhi Lafta Mutar, Ngo Hea Choon

DOI: 10.5267/j.ijiec.2019.6.005

Keywords: Combinatorial optimization Problems, Facility Location Problem, Quadratic Assignment Problem, Discrete Differential Evolution Algorithm, Tabu Search Algorithm

Abstract: The Combinatorial Optimization Problem (COPs) is one of the branches of applied mathematics and computer sciences, which is accompanied by many problems such as Facility Layout Problem (FLP), Vehicle Routing Problem (VRP), etc. Even though the use of several mathematical formulations is employed for FLP, Quadratic Assignment Problem (QAP) is one of the most commonly used. One of the major problems of Combinatorial NP-hard Optimization Problem is QAP mathematical model. Consequently, many approaches have been introduced to solve this problem, and these approaches are classified as Approximate and Exact methods. With QAP, each facility is allocated to just one location, thereby reducing cost in terms of aggregate distances weighted by flow values. The primary aim of this study is to propose a hybrid approach which combines Discrete Differential Evolution (DDE) algorithm and Tabu Search (TS) algorithm to enhance solutions of QAP model, to reduce the distances between the locations by finding the best distribution of N facilities to N locations, and to implement hybrid approach based on discrete differential evolution (HDDETS) on many instances of QAP from the benchmark. The performance of the proposed approach has been tested on several sets of instances from the data set of QAP and the results obtained have shown the effective performance of the proposed algorithm in improving several solutions of QAP in reasonable time. Afterwards, the proposed approach is compared with other recent methods in the literature review. Based on the computation results, the proposed hybrid approach outperforms the other methods.

How to cite this paper

 Hameed, A., Aboobaider, B., Mutar, M & Choon, N. (2020). A new hybrid approach based on discrete differential evolution algorithm to enhancement solutions of quadratic assignment problem.International Journal of Industrial Engineering Computations , 11(1), 51-72.

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