How to start a heuristic? Utilizing lower bounds for solving the quadratic assignment problem
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Date
2021-12-31
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Referee
Mark
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Growing Science
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Abstract
The Quadratic Assignment Problem (QAP) is one of the classical combinatorial optimization problems and is known for its diverse applications. The QAP is an NP-hard optimization problem which attracts the use of heuristic or metaheuristic algorithms that can find quality solutions in an acceptable computation time. On the other hand, there is quite a broad spectrum of mathematical programming techniques that were developed for finding the lower bounds for the QAP. This paper presents a fusion of the two approaches whereby the solutions from the computations of the lower bounds are used as the starting points for a metaheuristic, called HC12, which is implemented on a GPU CUDA platform. We perform extensive computational experiments that demonstrate that the use of these lower bounding techniques for the construction of the starting points has a significant impact on the quality of the resulting solutions.
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Citation
International Journal of Industrial Engineering Computations. 2021, vol. 13, issue 2, p. 151-164.
http://www.growingscience.com/ijiec/Vol13/IJIEC_2021_33.pdf
http://www.growingscience.com/ijiec/Vol13/IJIEC_2021_33.pdf
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Peer-reviewed
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en