Karesel atama problemleri için tavlama benzetimi paralelleştirme yöntemlerinin karşılaştırılması

Öz

Karesel atama problemi (KAP), NP-hard sınıfındaki en zor kombinatoryal optimizasyon problemlerinden birisidir. Problemin zorluğundan dolayı birçok araştırmacı bu tip atama problemini çalışılmaktadır. Bu çalışmada tavlama benzetimi yöntemi MATLAB platformunda paralelleştirilerek iyi bilinen bir KAP Kütüphanesi olan QAPLIB’den alınan 36 örnek problemi çözmek için kullanılmıştır. Değişik paralelleştirme yöntemlerinin performansları kullanılan problemler için karşılaştırılmıştır. Sonuç olarak seri tavlama benzetimi yöntemiyle karşılaştırıldığında, paralel yöntemlerin uygun parametreler kullanıldığında daha hızlı sonuç verdiği görülmüştür.

Anahtar Kelimeler

• Karesel atama problemi,Paralel programlama,Tavlama benzetimi,Optimizasyon

Comparison of simulated annealing parallelization methods for quadratic assignment problems

Abstract

Quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems in the NP-hard class. Due to the difficulty of the problem, many researchers have been studying this type of assignment problem. In this work, simulated annealing method is parallelized on MATLAB platform and is used to solve 36 problems from QAPLIB which is a well-known QAP library. The performance of different parallelization methods is compared for the problems used. As a result, when compared with the serial simulated annealing method, it is seen that the parallel methods give faster results when the appropriate parameters are used.

Keywords

• Quadratic assignment problem,Parallel programming,Simulated annealing,Optimization

Kaynakça

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