On the Asymptotic Optimality of the SPT Rule for the Flow Shop Average Completion Time Problem
Author
Abstract
Suggested Citation
DOI: 10.1287/opre.48.4.615.12423
Download full text from publisher
References listed on IDEAS
- Frederick S. Hillier & Ronald W. Boling, 1979. "On the Optimal Allocation of Work in Symmetrically Unbalanced Production Line Systems with Variable Operation Times," Management Science, INFORMS, vol. 25(8), pages 721-728, August.
- M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
- Eginhard J. Muth, 1979. "The Reversibility Property of Production Lines," Management Science, INFORMS, vol. 25(2), pages 152-158, February.
- Martin J. Krone & Kenneth Steiglitz, 1974. "Heuristic-Programming Solution of a Flowshop-Scheduling Problem," Operations Research, INFORMS, vol. 22(3), pages 629-638, June.
- J. George Shanthikumar & Susan H. Xu, 1997. "Asymptotically Optimal Routing and Servive Rate Allocation in a Multiserver Queueing System," Operations Research, INFORMS, vol. 45(3), pages 464-469, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Hui Liu & Maurice Queyranne & David Simchi‐Levi, 2005. "On the asymptotic optimality of algorithms for the flow shop problem with release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 232-242, April.
- 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.
- D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.
- Mabel C. Chou & Hui Liu & Maurice Queyranne & David Simchi-Levi, 2006. "On the Asymptotic Optimality of a Simple On-Line Algorithm for the Stochastic Single-Machine Weighted Completion Time Problem and Its Extensions," Operations Research, INFORMS, vol. 54(3), pages 464-474, June.
- Philip Kaminsky & Onur Kaya, 2008. "Scheduling and due‐date quotation in a make‐to‐order supply chain," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(5), pages 444-458, August.
- Kaminsky, Philip & Kaya, Onur, 2008. "Inventory positioning, scheduling and lead-time quotation in supply chains," International Journal of Production Economics, Elsevier, vol. 114(1), pages 276-293, July.
- Nasini, Stefano & Nessah, Rabia, 2021. "An almost exact solution to the min completion time variance in a single machine," European Journal of Operational Research, Elsevier, vol. 294(2), pages 427-441.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Hyoungtae Kim & Sungsoo Park, 1999. "Optimality of the Symmetric Workload Allocation in a Single-Server Flow Line System," Management Science, INFORMS, vol. 45(3), pages 449-451, March.
- Yu, Tae-Sun & Pinedo, Michael, 2020. "Flow shops with reentry: Reversibility properties and makespan optimal schedules," European Journal of Operational Research, Elsevier, vol. 282(2), pages 478-490.
- Philip Kaminsky & David Simchi-Levi, 2001. "The Asymptotic Optimality of the SPT Rule for the Flow Shop Mean Completion Time Problem," Operations Research, INFORMS, vol. 49(2), pages 293-304, April.
- Xiang Zhong & Hyo Kyung Lee & Molly Williams & Sally Kraft & Jeffery Sleeth & Richard Welnick & Lori Hauschild & Jingshan Li, 2018. "Workload balancing: staffing ratio analysis for primary care redesign," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 6-29, June.
- Kamburowski, Jerzy, 1999. "Stochastically minimizing the makespan in two-machine flow shops without blocking," European Journal of Operational Research, Elsevier, vol. 112(2), pages 304-309, January.
- Mehravaran, Yasaman & Logendran, Rasaratnam, 2012. "Non-permutation flowshop scheduling in a supply chain with sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 135(2), pages 953-963.
- Lunardi, Willian T. & Birgin, Ernesto G. & Ronconi, Débora P. & Voos, Holger, 2021. "Metaheuristics for the online printing shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 293(2), pages 419-441.
- Zhengcai Cao & Lijie Zhou & Biao Hu & Chengran Lin, 2019. "An Adaptive Scheduling Algorithm for Dynamic Jobs for Dealing with the Flexible Job Shop Scheduling Problem," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 61(3), pages 299-309, June.
- Shen, Liji & Buscher, Udo, 2012. "Solving the serial batching problem in job shop manufacturing systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 14-26.
- Rossi, Andrea, 2014. "Flexible job shop scheduling with sequence-dependent setup and transportation times by ant colony with reinforced pheromone relationships," International Journal of Production Economics, Elsevier, vol. 153(C), pages 253-267.
- K. Z. Gao & P. N. Suganthan & Q. K. Pan & T. J. Chua & T. X. Cai & C. S. Chong, 2016. "Discrete harmony search algorithm for flexible job shop scheduling problem with multiple objectives," Journal of Intelligent Manufacturing, Springer, vol. 27(2), pages 363-374, April.
- 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.
- Azizoglu, Meral & Cakmak, Ergin & Kondakci, Suna, 2001. "A flexible flowshop problem with total flow time minimization," European Journal of Operational Research, Elsevier, vol. 132(3), pages 528-538, August.
- Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
- Brammer, Janis & Lutz, Bernhard & Neumann, Dirk, 2022. "Permutation flow shop scheduling with multiple lines and demand plans using reinforcement learning," European Journal of Operational Research, Elsevier, vol. 299(1), pages 75-86.
- Ganesan, Viswanath Kumar & Sivakumar, Appa Iyer, 2006. "Scheduling in static jobshops for minimizing mean flowtime subject to minimum total deviation of job completion times," International Journal of Production Economics, Elsevier, vol. 103(2), pages 633-647, October.
- Tseng, Lin-Yu & Lin, Ya-Tai, 2009. "A hybrid genetic local search algorithm for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 198(1), pages 84-92, October.
- Gerardo Minella & Rubén Ruiz & Michele Ciavotta, 2008. "A Review and Evaluation of Multiobjective Algorithms for the Flowshop Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 451-471, August.
- P J Kalczynski & J Kamburowski, 2004. "Generalization of Johnson's and Talwar's scheduling rules in two-machine stochastic flow shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1358-1362, December.
- Ramalhinho Lourenco, Helena, 1996. "Sevast'yanov's algorithm for the flow-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 91(1), pages 176-189, May.
More about this item
Keywords
Asymptotically optimal scheduling: flow shop average completion time problem; Flow shop scheduling: average completion time; asymptotic optimality; Tandem queueing: asymptotic optimality of SPT;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:48:y:2000:i:4:p:615-622. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.