Computing the Moments of Polling Models with Batch Poisson Arrivals by Transform Inversion
Author
Abstract
Suggested Citation
DOI: 10.1287/ijoc.2018.0844
Download full text from publisher
References listed on IDEAS
- S. W. Fuhrmann & Robert B. Cooper, 1985. "Stochastic Decompositions in the M / G /1 Queue with Generalized Vacations," Operations Research, INFORMS, vol. 33(5), pages 1117-1129, October.
- Gagan L. Choudhury & David M. Lucantoni, 1996. "Numerical Computation of the Moments of a Probability Distribution from its Transform," Operations Research, INFORMS, vol. 44(2), pages 368-381, April.
- Michel Scholl & Leonard Kleinrock, 1983. "On the M / G /1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines," Operations Research, INFORMS, vol. 31(4), pages 705-719, August.
- Paul H. Zipkin, 1986. "Models for Design and Control of Stochastic, Multi-Item Batch Production Systems," Operations Research, INFORMS, vol. 34(1), pages 91-104, February.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Vladimir Vishnevsky & Olga Semenova, 2021. "Polling Systems and Their Application to Telecommunication Networks," Mathematics, MDPI, vol. 9(2), pages 1-30, January.
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.- P. H. Brill & C. M. Harris, 1992. "Waiting times for M/G/1 queues with service‐time or delay‐dependent server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 775-787, October.
- B. Kumar & D. Arivudainambi & A. Krishnamoorthy, 2006. "Some results on a generalized M/G/1 feedback queue with negative customers," Annals of Operations Research, Springer, vol. 143(1), pages 277-296, March.
- Offer Kella & Uri Yechiali, 1988. "Priorities in M/G/1 queue with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 23-34, February.
- Jacob K. Daniel & R. Ramanarayanan, 1988. "An (s,S) inventory system with rest periods to the server," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 119-123, February.
- Dimitris Bertsimas & José Niño-Mora, 1996. "Optimization of multiclass queueing networks with changeover times via the achievable region method: Part II, the multi-station case," Economics Working Papers 314, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 1998.
- Dimitris Bertsimas & José Niño-Mora, 1999. "Optimization of Multiclass Queueing Networks with Changeover Times Via the Achievable Region Approach: Part I, The Single-Station Case," Mathematics of Operations Research, INFORMS, vol. 24(2), pages 306-330, May.
- Priyanka Kalita & Gautam Choudhury & Dharmaraja Selvamuthu, 2020. "Analysis of Single Server Queue with Modified Vacation Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 511-553, June.
- Wilhelm, W. E. & Som, Pradip, 1998. "Analysis of a single-stage, single-product, stochastic, MRP-controlled assembly system," European Journal of Operational Research, Elsevier, vol. 108(1), pages 74-93, July.
- Madhu Jain & Sandeep Kaur & Parminder Singh, 2021. "Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)," Operational Research, Springer, vol. 21(4), pages 2203-2246, December.
- S. Rajagopalan, 2002. "Make to Order or Make to Stock: Model and Application," Management Science, INFORMS, vol. 48(2), pages 241-256, February.
- Yi Peng & Jinbiao Wu, 2020. "A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations," Mathematics, MDPI, vol. 8(8), pages 1-12, July.
- Jianjun Li & Liwei Liu & Tao Jiang, 2018. "Analysis of an M/G/1 queue with vacations and multiple phases of operation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(1), pages 51-72, February.
- Zsolt Saffer & Sergey Andreev & Yevgeni Koucheryavy, 2016. "$$M/D^{[y]}/1$$ M / D [ y ] / 1 Periodically gated vacation model and its application to IEEE 802.16 network," Annals of Operations Research, Springer, vol. 239(2), pages 497-520, April.
- Awi Federgruen & Ziv Katalan, 1998. "Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems," Operations Research, INFORMS, vol. 46(6), pages 883-898, December.
- Jau-Chuan Ke, 2006. "An M/G/1 queue under hysteretic vacation policy with an early startup and un-reliable server," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(2), pages 357-369, May.
- Hideaki Takagi & Tetsuya Takine & Onno J. Boxma, 1992. "Distribution of the workload in multiclass queueing systems with server vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 41-52, February.
- Zhang, Zhe G. & Tian, Naishuo, 2004. "An analysis of queueing systems with multi-task servers," European Journal of Operational Research, Elsevier, vol. 156(2), pages 375-389, July.
- Thangam, A. & Uthayakumar, R., 2008. "A two-level supply chain with partial backordering and approximated Poisson demand," European Journal of Operational Research, Elsevier, vol. 187(1), pages 228-242, May.
- Svetlana Boyarchenko & Sergei Levendorskiu{i}, 2024. "Efficient inverse $Z$-transform and Wiener-Hopf factorization," Papers 2404.19290, arXiv.org, revised May 2024.
- Hau L. Lee & Kamran Moinzadeh, 1987. "Operating characteristics of a two‐echelon inventory system for repairable and consumable items under batch ordering and shipment policy," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 365-380, June.
More about this item
Keywords
transform inversion; polling models; pseudo-transforms; cyclic servers;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:orijoc:v:31:y:2019:i:3:p:515-526. 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.