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A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems

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  • Chung, Chia-Shin
  • Flynn, James
  • Kirca, Omer

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  • Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2002. "A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems," International Journal of Production Economics, Elsevier, vol. 79(3), pages 185-196, October.
    • Handle: RePEc:eee:proeco:v:79:y:2002:i:3:p:185-196
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    1. Ho, Johnny C. & Chang, Yih-Long, 1991. "A new heuristic for the n-job, M-machine flow-shop problem," European Journal of Operational Research, Elsevier, vol. 52(2), pages 194-202, May.
    2. Rajendran, Chandrasekharan, 1993. "Heuristic algorithm for scheduling in a flowshop to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 29(1), pages 65-73, February.
    3. Edward Ignall & Linus Schrage, 1965. "Application of the Branch and Bound Technique to Some Flow-Shop Scheduling Problems," Operations Research, INFORMS, vol. 13(3), pages 400-412, June.
    4. C. N. Potts, 1985. "A Lagrangean Based Branch and Bound Algorithm for Single Machine Sequencing with Precedence Constraints to Minimize Total Weighted Completion Time," Management Science, INFORMS, vol. 31(10), pages 1300-1311, October.
    5. Della Croce, F. & Narayan, V. & Tadei, R., 1996. "The two-machine total completion time flow shop problem," European Journal of Operational Research, Elsevier, vol. 90(2), pages 227-237, April.
    6. Potts, C. N. & Van Wassenhove, L. N., 1983. "An algorithm for single machine sequencing with deadlines to minimize total weighted completion time," European Journal of Operational Research, Elsevier, vol. 12(4), pages 379-387, April.
    7. Jeffrey B. Sidney, 1975. "Decomposition Algorithms for Single-Machine Sequencing with Precedence Relations and Deferral Costs," Operations Research, INFORMS, vol. 23(2), pages 283-298, April.
    8. B. J. Lageweg & J. K. Lenstra & A. H. G. Rinnooy Kan, 1978. "A General Bounding Scheme for the Permutation Flow-Shop Problem," Operations Research, INFORMS, vol. 26(1), pages 53-67, February.
    9. Ahmadi, Reza H. & Bagchi, Uttarayan, 1990. "Improved lower bounds for minimizing the sum of completion times of n jobs over m machines in a flow shop," European Journal of Operational Research, Elsevier, vol. 44(3), pages 331-336, February.
    10. Bansal, S. P., 1980. "Single machine scheduling to minimize weighted sum of completion times with secondary criterion -- A branch and bound approach," European Journal of Operational Research, Elsevier, vol. 5(3), pages 177-181, September.
    11. Potts, C. N., 1980. "An adaptive branching rule for the permutation flow-shop problem," European Journal of Operational Research, Elsevier, vol. 5(1), pages 19-25, July.
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    Cited by:

    1. He, Xuan & Pan, Quan-Ke & Gao, Liang & Neufeld, Janis S. & Gupta, Jatinder N.D., 2024. "Historical information based iterated greedy algorithm for distributed flowshop group scheduling problem with sequence-dependent setup times," Omega, Elsevier, vol. 123(C).
    2. N Madhushini & C Rajendran & Y Deepa, 2009. "Branch-and-bound algorithms for scheduling in permutation flowshops to minimize the sum of weighted flowtime/sum of weighted tardiness/sum of weighted flowtime and weighted tardiness/sum of weighted f," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 991-1004, July.
    3. Bai, Danyu & Tang, Mengqian & Zhang, Zhi-Hai & Santibanez-Gonzalez, Ernesto DR, 2018. "Flow shop learning effect scheduling problem with release dates," Omega, Elsevier, vol. 78(C), pages 21-38.
    4. Wang, Ling & Sun, Lin-Yan & Sun, Lin-Hui & Wang, Ji-Bo, 2010. "On three-machine flow shop scheduling with deteriorating jobs," International Journal of Production Economics, Elsevier, vol. 125(1), pages 185-189, May.
    5. Ladhari, Talel & Rakrouki, Mohamed Ali, 2009. "Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 122(2), pages 678-691, December.
    6. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2006. "A branch and bound algorithm to minimize the total tardiness for m-machine permutation flowshop problems," European Journal of Operational Research, Elsevier, vol. 174(1), pages 1-10, October.
    7. Mohamed Ali Rakrouki & Anis Kooli & Sabrine Chalghoumi & Talel Ladhari, 2020. "A branch-and-bound algorithm for the two-machine total completion time flowshop problem subject to release dates," Operational Research, Springer, vol. 20(1), pages 21-35, March.
    8. Chia-Shin Chung & James Flynn & Walter Rom & Piotr Staliński, 2012. "A Genetic Algorithm to Minimize the Total Tardiness for M-Machine Permutation Flowshop Problems," Journal of Entrepreneurship, Management and Innovation, Fundacja Upowszechniająca Wiedzę i Naukę "Cognitione", vol. 8(2), pages 26-43.
    9. Gajpal, Yuvraj & Rajendran, Chandrasekharan, 2006. "An ant-colony optimization algorithm for minimizing the completion-time variance of jobs in flowshops," International Journal of Production Economics, Elsevier, vol. 101(2), pages 259-272, June.
    10. Wang, Sheng-yao & Wang, Ling & Liu, Min & Xu, Ye, 2013. "An effective estimation of distribution algorithm for solving the distributed permutation flow-shop scheduling problem," International Journal of Production Economics, Elsevier, vol. 145(1), pages 387-396.
    11. Lee, Wen-Chiung & Wu, Chin-Chia, 2004. "Minimizing total completion time in a two-machine flowshop with a learning effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 85-93, March.
    12. Abolhassan Razminia & Dumitru Baleanu & Vahid Johari Majd, 2013. "Conditional Optimization Problems: Fractional Order Case," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 45-55, January.
    13. Wu, Chin-Chia & Lee, Wen-Chiung, 2009. "A note on the total completion time problem in a permutation flowshop with a learning effect," European Journal of Operational Research, Elsevier, vol. 192(1), pages 343-347, January.

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