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A Branch-and-Bound Algorithm to Minimize the Makespan in a Flowshop with Blocking

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  • Débora Ronconi

Abstract

This work addresses the minimization of the makespan criterion for the flowshop problem with blocking. In this environment there are no buffers between successive machines, and therefore intermediate queues of jobs waiting in the system for their next operations are not allowed. We propose a lower bound which exploits the occurrence of blocking. A branch-and-bound algorithm that uses this lower bound is described and its efficiency is evaluated on several problems. Results of computational experiments are reported. Copyright Springer Science + Business Media, Inc. 2005

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  • Débora Ronconi, 2005. "A Branch-and-Bound Algorithm to Minimize the Makespan in a Flowshop with Blocking," Annals of Operations Research, Springer, vol. 138(1), pages 53-65, September.
    • Handle: RePEc:spr:annopr:v:138:y:2005:i:1:p:53-65:10.1007/s10479-005-2444-3
    DOI: 10.1007/s10479-005-2444-3
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    1. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    2. Ronconi, Debora P., 2004. "A note on constructive heuristics for the flowshop problem with blocking," International Journal of Production Economics, Elsevier, vol. 87(1), pages 39-48, January.
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    4. I.N. Kamal Abadi & Nicholas G. Hall & Chelliah Sriskandarajah, 2000. "Minimizing Cycle Time in a Blocking Flowshop," Operations Research, INFORMS, vol. 48(1), pages 177-180, February.
    5. S. Thomas McCormick & Michael L. Pinedo & Scott Shenker & Barry Wolf, 1989. "Sequencing in an Assembly Line with Blocking to Minimize Cycle Time," Operations Research, INFORMS, vol. 37(6), pages 925-935, December.
    6. Nicholas G. Hall & Chelliah Sriskandarajah, 1996. "A Survey of Machine Scheduling Problems with Blocking and No-Wait in Process," Operations Research, INFORMS, vol. 44(3), pages 510-525, June.
    7. Nowicki, Eugeniusz, 1999. "The permutation flow shop with buffers: A tabu search approach," European Journal of Operational Research, Elsevier, vol. 116(1), pages 205-219, July.
    8. D P Ronconi & V A Armentano, 2001. "Lower bounding schemes for flowshops with blocking in-process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1289-1297, November.
    9. Caraffa, Vince & Ianes, Stefano & P. Bagchi, Tapan & Sriskandarajah, Chelliah, 2001. "Minimizing makespan in a blocking flowshop using genetic algorithms," International Journal of Production Economics, Elsevier, vol. 70(2), pages 101-115, March.
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    Cited by:

    1. Liu, Shi Qiang & Kozan, Erhan, 2009. "Scheduling a flow shop with combined buffer conditions," International Journal of Production Economics, Elsevier, vol. 117(2), pages 371-380, February.
    2. Ronconi, Débora P. & Henriques, Luís R.S., 2009. "Some heuristic algorithms for total tardiness minimization in a flowshop with blocking," Omega, Elsevier, vol. 37(2), pages 272-281, April.
    3. Said Aqil & Karam Allali, 2021. "On a bi-criteria flow shop scheduling problem under constraints of blocking and sequence dependent setup time," Annals of Operations Research, Springer, vol. 296(1), pages 615-637, January.
    4. Ansis Ozolins, 2019. "Improved bounded dynamic programming algorithm for solving the blocking flow shop problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 15-38, March.
    5. Marcelo Seido Nagano & Adriano Seiko Komesu & Hugo Hissashi Miyata, 2019. "An evolutionary clustering search for the total tardiness blocking flow shop problem," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1843-1857, April.
    6. Lin, Shih-Wei & Ying, Kuo-Ching, 2013. "Minimizing makespan in a blocking flowshop using a revised artificial immune system algorithm," Omega, Elsevier, vol. 41(2), pages 383-389.
    7. Donald Davendra & Ivan Zelinka & Magdalena Bialic-Davendra & Roman Senkerik & Roman Jasek, 2012. "Clustered enhanced differential evolution for the blocking flow shop scheduling problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 679-717, December.
    8. Pham, Dinh-Nguyen & Klinkert, Andreas, 2008. "Surgical case scheduling as a generalized job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1011-1025, March.
    9. Nouha Nouri & Talel Ladhari, 2018. "Evolutionary multiobjective optimization for the multi-machine flow shop scheduling problem under blocking," Annals of Operations Research, Springer, vol. 267(1), pages 413-430, August.
    10. Carlier, Jacques & Haouari, Mohamed & Kharbeche, Mohamed & Moukrim, Aziz, 2010. "An optimization-based heuristic for the robotic cell problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 636-645, May.
    11. Pan, Quan-Ke & Wang, Ling, 2012. "Effective heuristics for the blocking flowshop scheduling problem with makespan minimization," Omega, Elsevier, vol. 40(2), pages 218-229, April.
    12. Joaquín Bautista-Valhondo & Rocío Alfaro-Pozo, 2020. "Mixed integer linear programming models for Flow Shop Scheduling with a demand plan of job types," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 5-23, March.
    13. Ribas, Imma & Companys, Ramon & Tort-Martorell, Xavier, 2011. "An iterated greedy algorithm for the flowshop scheduling problem with blocking," Omega, Elsevier, vol. 39(3), pages 293-301, June.
    14. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.

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