Parallelization of a Branch and Bound Algorithm on Multicore Systems


The general m-machine permutation flowshop problem with the total flow-time objective is known to be NP-hard for m ≥ 2. The only practical method for finding optimal solutions has been branch-and-bound algorithms. In this paper, we present an improved sequential algorithm which is based on a strict alternation of Generation and Exploration execution modes as well as Depth-First/Best-First hybrid strategies. The experimental results show that the proposed scheme exhibits improved performance compared with the algorithm in [1]. More importantly, our method can be easily extended and implemented with lightweight threads to speed up the execution times. Good speedups can be obtained on shared-memory multicore systems.

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C. Chung, J. Flynn and J. Sang, "Parallelization of a Branch and Bound Algorithm on Multicore Systems," Journal of Software Engineering and Applications, Vol. 5 No. 8, 2012, pp. 621-629. doi: 10.4236/jsea.2012.58071.

Conflicts of Interest

The authors declare no conflicts of interest.


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