On the Rate of Convergence and Limiting Characteristics for a Nonstationary Queueing Model

Yacov Satin, Alexander Zeifman and Anastasia Kryukova
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Yacov Satin: Department of Applied Mathematics, Vologda State University, 160000 Vologda, Russia
Alexander Zeifman: Department of Applied Mathematics, Vologda State University, 160000 Vologda, Russia
Anastasia Kryukova: Department of Applied Mathematics, Vologda State University, 160000 Vologda, Russia

Mathematics, 2019, vol. 7, issue 8, 1-11

Abstract: Consideration is given to the nonstationary analogue of M / M / 1 queueing model in which the service happens only in batches of size 2, with the arrival rate λ ( t ) and the service rate μ ( t ) . One proposes a new and simple method for the study of the queue-length process. The main probability characteristics of the queue-length process are computed. A numerical example is provided.

Keywords: queueing systems; rate of convergence; non-stationary; Markovian queueing models; limiting characteristics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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