基于GPGPU的0-1多维背包问题模拟退火并行化

Bianca de Almeida Dantas, E. Cáceres
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引用次数: 12

摘要

在过去的几十年里,随着多核/多核架构的进步,设计能够利用这些架构的算法来实现更有效的算法来解决难题变得很有趣。在计算机程序的帮助下解决的大量现实问题需要更快或更高质量的解决方案。其中一些问题可以建模为经典理论问题,如0-1多维背包问题(0-1 MKP),已知属于NP-hard类问题,我们不能有效地获得精确解。这促使人们寻找能够获得高质量近似解的替代策略,比如元启发式,以及在更短的时间内执行它们的不同方法,比如探索多核/多核架构的并行算法。在这项工作中,我们描述了使用GPGPU解决0-1 MKP的模拟退火方法的并行化,并将我们的结果与以前的工作进行比较,以证明其使用的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Parallelization of a Simulated Annealing Approach for 0-1 Multidimensional Knapsack Problem Using GPGPU
In the last decades, with the advances in multicore/manycore architectures, it became interesting to design algorithms which can take advantage of such architectures aiming the achievement of more efficient algorithms to solve difficult problems. A large number of real-world problems solved with the help of computer programs demand faster or better quality solutions. Some of these problems can be modeled as classical theoretical problems, such as the 0-1 multidimensional knapsack problem (0-1 MKP), known to belong to the NP-hard class of problems, for which we can not obtain an exact solution efficiently. This motivates the search for alternative strategies which can achieve good quality approximate solutions, like metaheuristics, and also different ways to enable their execution in reduced times, such as parallel algorithms which explore multicore/manycore architectures. In this work we describe a parallelization of a simulated annealing approachusing GPGPU to solve 0-1 MKP and compare our results to previous works in order to prove the viability of its use.
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