Multi-Server Queueing Systems with Multiple Priority Classes
Author
Abstract
Suggested Citation
DOI: 10.1007/s11134-005-2898-7
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Kao, Edward P. C. & Wilson, Sandra D., 1999. "Analysis of nonpreemptive priority queues with multiple servers and two priority classes," European Journal of Operational Research, Elsevier, vol. 118(1), pages 181-193, October.
- Alan Cobham, 1954. "Priority Assignment in Waiting Line Problems," Operations Research, INFORMS, vol. 2(1), pages 70-76, February.
- Dimitris Bertsimas & Daisuke Nakazato, 1995. "The Distributional Little's Law and Its Applications," Operations Research, INFORMS, vol. 43(2), pages 298-310, April.
- Richard H. Davis, 1966. "Waiting-Time Distribution of a Multi-Server, Priority Queuing System," Operations Research, INFORMS, vol. 14(1), pages 133-136, February.
- Edward P. C. Kao & Kumar S. Narayanan, 1990. "Computing Steady-State Probabilities of a Nonpreemptive Priority Multiserver Queue," INFORMS Journal on Computing, INFORMS, vol. 2(3), pages 211-218, August.
- J. P. Buzen & A. B. Bondi, 1983. "The Response Times of Priority Classes under Preemptive Resume in M / M / m Queues," Operations Research, INFORMS, vol. 31(3), pages 456-465, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Elvin Coban & Aliza Heching & Alan Scheller‐Wolf, 2019. "Service Center Staffing with Cross‐Trained Agents and Heterogeneous Customers," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 788-809, April.
- Walraevens, Joris & Fiems, Dieter & Wittevrongel, Sabine & Bruneel, Herwig, 2009. "Calculation of output characteristics of a priority queue through a busy period analysis," European Journal of Operational Research, Elsevier, vol. 198(3), pages 891-898, November.
- Andrei Sleptchenko & M. Eric Johnson, 2015. "Maintaining Secure and Reliable Distributed Control Systems," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 103-117, February.
- Przemysław Korytkowski & Tomasz Wiśniewski, 2011. "Performance analysis of commercial offset printing under dynamic priority rules," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 21(1), pages 53-64.
- Jianfu Wang & Opher Baron & Alan Scheller-Wolf, 2015. "M/M/c Queue with Two Priority Classes," Operations Research, INFORMS, vol. 63(3), pages 733-749, June.
- Yacov Satin & Rostislav Razumchik & Ivan Kovalev & Alexander Zeifman, 2023. "Ergodicity and Related Bounds for One Particular Class of Markovian Time—Varying Queues with Heterogeneous Servers and Customer’s Impatience," Mathematics, MDPI, vol. 11(9), pages 1-15, April.
- Jori Selen & Brian Fralix, 2017. "Time-dependent analysis of an M / M / c preemptive priority system with two priority classes," Queueing Systems: Theory and Applications, Springer, vol. 87(3), pages 379-415, December.
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.- Jianfu Wang & Opher Baron & Alan Scheller-Wolf, 2015. "M/M/c Queue with Two Priority Classes," Operations Research, INFORMS, vol. 63(3), pages 733-749, June.
- Attahiru Sule Alfa, 1998. "Matrix‐geometric solution of discrete time MAP/PH/1 priority queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(1), pages 23-50, February.
- Jori Selen & Brian Fralix, 2017. "Time-dependent analysis of an M / M / c preemptive priority system with two priority classes," Queueing Systems: Theory and Applications, Springer, vol. 87(3), pages 379-415, December.
- Andrei Sleptchenko & M. Eric Johnson, 2015. "Maintaining Secure and Reliable Distributed Control Systems," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 103-117, February.
- Hideaki Takagi, 2016. "Waiting time in the M/M/ $$ m $$ m LCFS nonpreemptive priority queue with impatient customers," Annals of Operations Research, Springer, vol. 247(1), pages 257-289, December.
- Elvin Coban & Aliza Heching & Alan Scheller‐Wolf, 2019. "Service Center Staffing with Cross‐Trained Agents and Heterogeneous Customers," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 788-809, April.
- Thomas Kittsteiner & Benny Moldovanu, 2005.
"Priority Auctions and Queue Disciplines That Depend on Processing Time,"
Management Science, INFORMS, vol. 51(2), pages 236-248, February.
- Kittsteiner, Thomas & Moldovanu, Benny, 2004. "Priority Auctions and Queue Disciplines that Depend on Processing Time," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 5, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Gérard Hébuterne & Catherine Rosenberg, 1999. "Arrival and departure state distributions in the general bulk‐service queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(1), pages 107-118, February.
- Bertsimas, Dimitris., 1995. "Transient laws of non-stationary queueing systems and their applications," Working papers 3836-95., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Kao, Edward P. C. & Wilson, Sandra D., 1999. "Analysis of nonpreemptive priority queues with multiple servers and two priority classes," European Journal of Operational Research, Elsevier, vol. 118(1), pages 181-193, October.
- Hossein Abouee-Mehrizi & Opher Baron & Oded Berman, 2014. "Exact Analysis of Capacitated Two-Echelon Inventory Systems with Priorities," Manufacturing & Service Operations Management, INFORMS, vol. 16(4), pages 561-577, October.
- Huh, Woonghee Tim & Lee, Jaywon & Park, Heesang & Park, Kun Soo, 2019. "The potty parity problem: Towards gender equality at restrooms in business facilities," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
- Nam K. Kim & Kyung C. Chae & Mohan L. Chaudhry, 2004. "An Invariance Relation and a Unified Method to Derive Stationary Queue-Length Distributions," Operations Research, INFORMS, vol. 52(5), pages 756-764, October.
- Tsiligianni, Christiana & Tsiligiannis, Aristeides & Tsiliyannis, Christos, 2023. "A stochastic inventory model of COVID-19 and robust, real-time identification of carriers at large and infection rate via asymptotic laws," European Journal of Operational Research, Elsevier, vol. 304(1), pages 42-56.
- G. M. Koole & B. F. Nielsen & T. B. Nielsen, 2012. "First in Line Waiting Times as a Tool for Analysing Queueing Systems," Operations Research, INFORMS, vol. 60(5), pages 1258-1266, October.
- Hossein Abouee-Mehrizi & Opher Baron, 2016. "State-dependent M/G/1 queueing systems," Queueing Systems: Theory and Applications, Springer, vol. 82(1), pages 121-148, February.
- Nilay Tan{i}k Argon & Serhan Ziya, 2009. "Priority Assignment Under Imperfect Information on Customer Type Identities," Manufacturing & Service Operations Management, INFORMS, vol. 11(4), pages 674-693, June.
- Constantinos Maglaras & Assaf Zeevi, 2005. "Pricing and Design of Differentiated Services: Approximate Analysis and Structural Insights," Operations Research, INFORMS, vol. 53(2), pages 242-262, April.
- Haviv, Moshe & van der Wal, Jan, 2008. "Mean sojourn times for phase-type discriminatory processor sharing systems," European Journal of Operational Research, Elsevier, vol. 189(2), pages 375-386, September.
- Li, Dong, 2020. "When less is more: Recovery technology investment and segmentation for uptime-centered services," European Journal of Operational Research, Elsevier, vol. 286(1), pages 267-281.
More about this item
Keywords
M/GI/k; M/PH/k; multi-server queue; priority queue; matrix analytic methods; busy periods; multi-class queue; server farm; preemptive priority;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:spr:queues:v:51:y:2005:i:3:d:10.1007_s11134-005-2898-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.