Quadratic Assignment Problem (Model, Applications, Solutions): Review Paper

Hameed, Asaad Shakir and Mohd Aboobaider, Burhanuddin and Mutar, Modhi Lafta and Ngo, Hea Choon (2020) Quadratic Assignment Problem (Model, Applications, Solutions): Review Paper. International Journal of Advanced Science and Technology, 29 (7). pp. 450-460. ISSN 2005-4238

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Abstract

n operations research, Quadratic Assignment Problem (QAP) is a significant combinatorial optimization problem. When the size of the QAP problem increases, it becomes impossible to solve the problem in polynomial time. Several practical problems such as hospital and campus layout, allocation of gates to airplanes in airports and electrical backboard wiring problems can bemodeled as QAP. The QAP model seeks to identify the optimal distribution of N facilities to N locations in a way that minimizes the total traveling cost based on the distance between every pair of a location and the amount of traffic between every pair of facilities of organizational units within a building. Against this background, there are two main approaches have been suggested to deal with QAP, and they are, the Exact and Approximate (Heuristic and Metaheuristic) approaches. The exact approach provides a global optimal solution for the small size of QAP, while the approximate approaches can find the optimal or a near-optimal solution at a reasonable time for large-sized QAP. The objectives of this study are as follows: (i) To analysis the QAP model, (ii) To conduct a comprehensive survey of the methods that have been used to solve the QAP model, (iii) To identify the issues and limitations of the methods in (ii), and (iv) to explore the best approach that can be used in enhancing the solutions of QAPmodel within a reasonable time based on the accuracy of algorithm. The results show that the hybrid metaheuristic approach has the capability of finding the best results within a reasonable time for the large sized problem.

Item Type: Article
Uncontrolled Keywords: Metaheuristic algorithms, Combinatorial optimization problem, Facility layout problem, Quadratic assignment problem
Divisions: Faculty of Information and Communication Technology
Depositing User: Sabariah Ismail
Date Deposited: 20 Apr 2021 12:59
Last Modified: 20 Apr 2021 12:59
URI: http://eprints.utem.edu.my/id/eprint/25021
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