Examples of Practical Applications

Quan-Lin Li ()
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Quan-Lin Li: Tsinghua University, Department of Industrial Engineering

Chapter 7 in Constructive Computation in Stochastic Models with Applications, 2010, pp 331-388 from Springer

Abstract: Abstract In this chapter, we apply the RG-factorizations to deal with practical stochastic models, and indicate concrete procedures of performance computation under a unified algorithmic framework. The processor-sharing queue is directly constructed as a block-structured Markov chain, and the fluid queue can be constructed as a block-structured Markov chain by means of the Laplace transform; while the negative-customer queue and the retrial queue need to combine the supplementary variable method and the RG-factorizations such that the boundary conditions are simplified as a blockstructured Markov chain or a block-structured Markov renewal process. We provide performance analysis of the practical stochastic models.

Keywords: practical stochastic models; RG-factorization; supplementary variable method; processor-sharing queue; fluid queue; queue with negative customers; retrial queue (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11492-2_7

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DOI: 10.1007/978-3-642-11492-2_7

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