Insensitivity in Stochastic Models

P. G. Taylor ()
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P. G. Taylor: University of Melbourne

Chapter Chapter 3 in Queueing Networks, 2011, pp 121-140 from Springer

Abstract: Abstract A stochastic model is said to be insensitive if its stationary distribution depends on one or more of its constituent lifetime distributions only through the mean. Insensitivity is usually associated with partial balance in the corresponding Markovianmodel when all lifetimes are taken to be exponential, and a product-form stationary distribution of the Markov chain, constructed by supplementing the state by information on the progress of generally-distributed lifetimes.

Keywords: Service Time; Stationary Distribution; Apply Probability; Service Time Distribution; Queueing Network (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4419-6472-4_3

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