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A branch and bound algorithm to minimize the total tardiness for m-machine permutation flowshop problems
Date
2006-10-01
Author
Chung, Chia-Shin
Flynn, James
Kırca, Ömer
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The m-machine permutation flowshop problem with the total tardiness objective is a common scheduling problem, which is known to be NP-hard. Here, we develop a branch and bound algorithm to solve this problem. Our algorithm incorporates a machine-based lower bound and a dominance test for pruning nodes. We undertake a numerical study that evaluates our algorithm and compares it with the best alternative existing algorithm. Extensive computational experiments indicate that our algorithm performs better and can handle test problems with n <= 20.
Subject Keywords
Management Science and Operations Research
,
Modelling and Simulation
,
Information Systems and Management
URI
https://hdl.handle.net/11511/41897
Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
DOI
https://doi.org/10.1016/j.ejor.2004.12.023
Collections
Graduate School of Natural and Applied Sciences, Article
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C.-S. Chung, J. Flynn, and Ö. Kırca, “A branch and bound algorithm to minimize the total tardiness for m-machine permutation flowshop problems,”
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
, pp. 1–10, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41897.