Publication detail
How to start a heuristic? Utilizing lower bounds for solving the quadratic assignment problem
MATOUŠEK, R. DOBROVSKÝ, L. KŮDELA, J.
English title
How to start a heuristic? Utilizing lower bounds for solving the quadratic assignment problem
Type
journal article in Web of Science
Language
en
Original 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.
English 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.
Keywords in English
Heuristics; Lower bounds; Metaheuristics; Quadratic assignment problem; Starting values
Released
31.12.2021
Publisher
Growing Science
ISSN
1923-2934
Volume
13
Number
2
Pages from–to
151–164
Pages count
14
BIBTEX
@article{BUT175648,
author="Radomil {Matoušek} and Ladislav {Dobrovský} and Jakub {Kůdela},
title="How to start a heuristic? Utilizing lower bounds for solving the quadratic assignment problem",
year="2021",
volume="13",
number="2",
month="December",
pages="151--164",
publisher="Growing Science",
issn="1923-2934"
}