Exact algorithms for the feedback length minimisation problem

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 str...

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Bibliographic Details
Published in:International journal of production research Vol. 57; no. 2; pp. 544 - 559
Main Authors: Shang, Zhen, Zhao, Songzheng, Qian, Yanjun, Lin, Jun
Format: Journal Article
Language:English
Published: London Taylor & Francis 17.01.2019
Taylor & Francis LLC
Subjects:
Algorithms
Branch-and-Prune Algorithm
design structure matrix
Feedback
Hash based algorithms
hash function
Information flow
iterative process
Optimization
production and manufacturing system
Sequences
ISSN:0020-7543, 1366-588X
Online Access:Get full text
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Summary: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.
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ISSN:0020-7543
1366-588X
DOI:10.1080/00207543.2018.1456697