On Comparison of Multiserver Systems with Exponential-Pareto Mixture Distribution

Peshkova, Irina; Morozov, Evsey; Maltseva, Maria

doi:10.1007/978-3-030-50719-0_11

Cited by 4 publications

(2 citation statements)

References 17 publications

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“…In paper [17] conditions on the parameters λ, λ 1 , λ 2 , α, α 1 , α 2 , have been found which imply the stochastic and failure rate ordering of the mixtures. Assume that the parameters of distributions ( 15), (16), and ( 17) satisfy the following inequalities:…”

Section: The (K + N)-component Exponential-pareto Mixturementioning

confidence: 99%

“…This work aims to develop our recent results obtained for two-component mixtures [16,17] to a more general setting with an arbitrary number of ordered components. We apply the failure rate ordering to compare the queueing processes in the basic system with mixture service times with the corresponding processes in other systems in which service time distributions are components of the mixture.…”

Section: Introductionmentioning

confidence: 99%

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On Comparison of Multiserver Systems with Multicomponent Mixture Distributions

Peshkova

Morozov

2022

J Math Sci

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In this paper, we introduce and study the relations between parameters of the m-component mixture distributions which imply the stochastic and failure rate comparisons. Then we apply the failure rate and stochastic ordering techniques to construct the upper and lower bounds for the steady-state performance indexes in a multiserver queueing system with multicomponent exponential-Pareto mixture service time distribution. The uniform distance between multicomponent mixture distribution and its parent distribution is discussed. The obtained theoretical results are then illustrated by a few numerical examples based on the regenerative simulation multiserver queueing systems with mixture service time distributions.

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Section: The (K + N)-component Exponential-pareto Mixturementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%