Abstract
Multiserver queueing systems are very useful in modelling telecommunication systems.Usually in such systems we have several channels that are used for communications. These are considered as parallel servers in a queueing system.Throughout this chapter we will be dealing with cases where the parallel servers are identical.The case of heterogeneous servers will not be covered in this book.
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References
Alfa AS (2003a) Algorithmic analysis of the BMAP/D/k system in discrete time. Adv Appl Probab 35:1131–1152
Alfa AS (2003b) waiting time distribution of the MAP/D/k system in discrete time – a more efficient algorithm. Operations Research Letters 31:263–267
Artalejo JR, Hernández-Lerma O (2003) Performance analysis and optimal control of the Geo/Geo/c queue. Performance Evaluation 52:15–39
Crommelin CD (1932) Delay probability formulae when the holding times are constant. Post Off Electr Eng J 25:41–50
Feller W (1968) An Introduction to Probability Theory and its Applications, Vol. 1. Wiley, New York
Johnson NL, Kotz S, Kemp AW (1992) Univariate Discrete Distributions. John Wiley & Sons, Inc., New York
Latouche G, Ramaswami V (1999) Introduction to matrix analytic methods in stochastic modeling. In: Pennsylvania, Philadelphia, Pennsylvania
Neuts MF (1989) Structured Stochastic Matrices of M/G/1 Type and Their Applications. Marcel Decker Inc., New York
Rahman MM, Alfa AS (2009) Computational procedures for a class of GI/D/k system in discrete time. J Probab & Statis 2009(Article ID: 716364):18 pages, DOIÂ 10.1155/2009/716364,2009
Struble RA (2009) Infinite products rescued, draft onl. Tech. rep., URL http:www.infiniteproduct.info/struifpr.htm.2009
Tijms HC (1994) Stochastic Models, an Algorithmic Approach. New York, Wiley
Ushakumari PV, Krishnamoorthy A (1995) The queueing system \(B_{D}/G_{D}/\infty \). Optimization 34:185–193
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Alfa, A.S. (2016). Multiserver Single Node Queueing Models. In: Applied Discrete-Time Queues. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3420-1_7
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DOI: https://doi.org/10.1007/978-1-4939-3420-1_7
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