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Abstract

In the previous chapters we have studied queueing systems with different interarrival and service time distributions. Chapter 7 is devoted to the analysis of queueing systems with exponential interarrival and service time distributions.

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References

  1. He, Q.M.: Fundamentals of Matrix-Analytic Methods. Springer, New York (2014)

    Book  Google Scholar 

  2. Horváth, G., Van Houdt, B., Telek, M.: Commuting matrices in the queue length and sojourn time analysis of MAP/MAP/1 queues. Stoch. Model. 30(4), 554–575 (2014)

    Article  MathSciNet  Google Scholar 

  3. Latouche, G., Ramaswami, V.: Introduction to Matrix Analytic Methods in Stochastic Modeling. SIAM Press, Philadelphia (1999)

    Book  Google Scholar 

  4. Lucantoni, D.M.: New results on the single server queue with a batch Markovian arrival process. Commun. Stat. Stoch. Models 7(1), 1–46 (1991)

    Article  MathSciNet  Google Scholar 

  5. Neuts, M.F.: Matrix Geometric Solutions in Stochastic Models. Johns Hopkins University Press, Baltimore (1981)

    MATH  Google Scholar 

  6. Razumchik, R., Telek, M.: Delay analysis of a queue with re-sequencing buffer and Markov environment. Queueing Syst. 82(1), 7–28 (2016)

    Article  MathSciNet  Google Scholar 

  7. Sengupta, B.: The semi-Markovian queue: theory and applications. Stoch. Models 6(3), 383–413 (1990)

    Article  MathSciNet  Google Scholar 

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Lakatos, L., Szeidl, L., Telek, M. (2019). Queueing Systems with Structured Markov Chains. In: Introduction to Queueing Systems with Telecommunication Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-15142-3_9

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