On Failure Rate Comparison of Finite Multiserver Systems

Morozov, Evsey; Peshkova, Irina; Rumyantsev, Alexander

doi:10.1007/978-3-030-36614-8_32

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…This paper continues the study performed in [17] in the context of monotonicity. The key idea of the present paper is to study qualitatively the sensitivity of the steady-state distribution of the system performance index (steady-state queue size) to the variability of service time distribution by means of simulation.…”

Section: Introductionsupporting

confidence: 59%

Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time Distribution

et al. 2020

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The motivation of mixing distributions in communication/queueing systems modeling is that some input data (e.g., service time in queueing models) may follow several distinct distributions in a single input flow. In this paper, we study the sensitivity of performance measures on proximity of the service time distributions of a multiserver system model with two-component Pareto mixture distribution of service times. The theoretical results are illustrated by numerical simulation of the M/G/c systems while using the perfect sampling approach.

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Section: Introductionsupporting

confidence: 59%

Sensitivity Analysis and Simulation of a Multiserver Queueing System with Mixed Service Time Distribution

et al. 2020

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“…Note that since in condition (30) interarrival times are ordered in failure rate, then it is straightforward to extend previous analysis to the systems with mixture input process. Such an example can be found in [13], where the queueing systems with different renewal input processes are compared.…”

Section: Comparison Of Multiserver Systems With Different Service Dis...mentioning

confidence: 99%

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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