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Part of the book series: Stochastic Modelling and Applied Probability ((SMAP,volume 46))

Abstract

This chapter introduces three preliminary topics that will serve as the basis for much of the first part of this book (the first four chapters), which focuses on continuous-time Markov chain models. The three topics are (a) the birth—death process and related queueing models in Section 1.1, (b) the notion of time reversibility of a Markov chain in Section 1.2, and (c) likelihood ratio ordering and stochastic ordering in Section 1.3.

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References

  1. Ross, S.M. 1996. Stochastic Processes ( 2nd ed. ). Wiley, New York.

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© 2001 Springer Science+Business Media New York

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Chen, H., Yao, D.D. (2001). Birth-Death Queues. In: Fundamentals of Queueing Networks. Stochastic Modelling and Applied Probability, vol 46. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5301-1_1

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  • DOI: https://doi.org/10.1007/978-1-4757-5301-1_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2896-2

  • Online ISBN: 978-1-4757-5301-1

  • eBook Packages: Springer Book Archive

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