Heavy Traffic Analysis of Polling Systems in Tandem
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DOI: 10.1287/opre.47.4.524
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References listed on IDEAS
- Keigo Yamada, 1984. "Diffusion Approximations for Storage Processes with General Release Rules," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 459-470, August.
- E. G. Coffman & A. A. Puhalskii & M. I. Reiman, 1998. "Polling Systems in Heavy Traffic: A Bessel Process Limit," Mathematics of Operations Research, INFORMS, vol. 23(2), pages 257-304, May.
- Yamada, Keigo, 1986. "Multi-dimensional Bessel processes as heavy traffic limits of certain tandem queues," Stochastic Processes and their Applications, Elsevier, vol. 23(1), pages 35-56, October.
- Martin I. Reiman, 1984. "Open Queueing Networks in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 9(3), pages 441-458, August.
- Lawrence M. Wein, 1991. "Due-Date Setting and Priority Sequencing in a Multiclass M/G/1 Queue," Management Science, INFORMS, vol. 37(7), pages 834-850, July.
- William P. Peterson, 1991. "A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 90-118, February.
Citations
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Cited by:
- S. Minkevičius & S. Steišūnas, 2006. "About the Sojourn Time Process in Multiphase Queueing Systems," Methodology and Computing in Applied Probability, Springer, vol. 8(2), pages 293-302, June.
- Gromoll, H. Christian & Terwilliger, Bryce & Zwart, Bert, 2020. "Heavy traffic limit for the workload plateau process in a tandem queue with identical service times," Stochastic Processes and their Applications, Elsevier, vol. 130(3), pages 1435-1460.
- Sigrún Andradóttir & Hayriye Ayhan & Douglas G. Down, 2001. "Server Assignment Policies for Maximizing the Steady-State Throughput of Finite Queueing Systems," Management Science, INFORMS, vol. 47(10), pages 1421-1439, October.
- Otis B. Jennings, 2008. "Heavy-Traffic Limits of Queueing Networks with Polling Stations: Brownian Motion in a Wedge," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 12-35, February.
- David M. Markowitz & Lawrence M. Wein, 2001. "Heavy Traffic Analysis of Dynamic Cyclic Policies: A Unified Treatment of the Single Machine Scheduling Problem," Operations Research, INFORMS, vol. 49(2), pages 246-270, April.
- Sem Borst & Onno Boxma, 2018. "Polling: past, present, and perspective," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(3), pages 335-369, October.
- Ravi Suman & Ananth Krishnamurthy, 2020. "Analysis of tandem polling queues with finite buffers," Annals of Operations Research, Springer, vol. 293(1), pages 343-369, October.
- Saulius Minkevičius & Vladimiras Dolgopolovas & Leonidas L. Sakalauskas, 2016. "A Law of the Iterated Logarithm for the Sojourn Time Process in Queues in Series," Methodology and Computing in Applied Probability, Springer, vol. 18(1), pages 37-57, March.
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Keywords
queues; heavy traffic approximations; inventory/production; multi-item; multi-stage systems with lot-sizing;All these keywords.
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