Exact algorithms for the feedback length minimisation problem

Zhen Shang, Songzheng Zhao, Yanjun Qian and Jun Lin

International Journal of Production Research, 2019, vol. 57, issue 2, 544-559

Abstract: Planning the sequence of interrelated activities of production and manufacturing systems has become a challenging issue due to the existence of cyclic information flows. This study develops efficient exact algorithms for finding an activity sequence with minimum total feedback length in a design structure matrix. First, we present two new properties of the problem. Second, based on the properties, we develop an efficient Parallel Branch-and-Prune algorithm (PBP). Finally, the proposed PBP is further improved by adopting hash functions representing activity sequences, which is referred as hash function-based PBP. Experimental results indicate that the proposed hash function-based PBP can find optimal solutions for problems up to 25 interrelated activities within 1 h, and outperforms existing methods.

Date: 2019
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DOI: 10.1080/00207543.2018.1456697

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