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Queueing Theory Applications in the Analysis of Computer and Communication Systems

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An Introduction to Queueing Theory

Part of the book series: Statistics for Industry and Technology ((SIT))

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Abstract

Queueing theory has been widely used to analyze computer systems and communication networks. This chaptcr introduces the use or simple queucing networks for modeling communication and computer systems. We show models based on both closed and open nctworks. Such simplified models can be used to obtain reasonable measures or performance and reliabilily of these systems. This Chapter also introduces techniques that can be analyzed using oomputational tools. One such technique is the Mean Value Analysis (MVA), which is often used with closed queueing network. MVA along with convolution techniques as well as approximate solutions can be used to analyze a large-scale compuler and communication systems. It sbould be noted that, Cloud computing systems or Iarge interconnected computers involve very complex network and interactions, and arc too difficult to model using queueing nctworks. Discrete event simulations are often used for such systems.

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Notes

  1. 1.

    E[S j ] is the expected service time at j.

  2. 2.

    To be consistent with Buzen (1973), we use subscript 1 for CPU, unlike subscript zero used previously.

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Kavi, K. (2015). Queueing Theory Applications in the Analysis of Computer and Communication Systems. In: An Introduction to Queueing Theory. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8421-1_13

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