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Mathematics of Operations Research
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IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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Computers and Operations Research
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IEEE Transactions on Evolutionary Computation
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Expert Systems with Applications: An International Journal
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International Journal of Intelligent Information and Database Systems
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Variable neighborhood search with permutation distance for QAP
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part IV
Operations Research Letters
Thermal-constrained task allocation for interconnect energy reduction in 3-D homogeneous MPSoCs
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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The quadratic assignment problem (QAP) is one of the well-known combinatorial optimization problems and is known for its various applications. In this paper, we propose a modified simulated annealing algorithm for the QAP - M-SA-QAP. The novelty of the proposed algorithm is an advanced formula of calculation of the initial and final temperatures, as well as an original cooling schedule with oscillation, i.e., periodical decreasing and increasing of the temperature. In addition, in order to improve the results obtained, the simulated annealing algorithm is combined with a tabu search approach based algorithm. We tested our algorithm on a number of instances from the library of the QAP instances - QAPLIB. The results obtained from the experiments show that the proposed algorithm appears to be superior to earlier versions of the simulated annealing for the QAP. The power of M-SA-QAP is also corroborated by the fact that the new best known solution was found for the one of the largest QAP instances - THO150.