Queues with Markovian Arrivals, Phase Type Services, Breakdowns, and Repairs

Authors

Srinivas R. Chakravarthy, Kettering UniversityFollow
Rakesh Kumar Meena
Alka Choudhary

Document Type

Article

Publication Date

2020

Publication Title

Distributed Computer and Communication Networks

Abstract

In service sectors, the server interruptions occur naturally and are studied using queueing models with interruptions. Such models have been studied extensively in the literature. The server interruptions may occur due to external events such as shocks and negative customers, or due to internal events which are dictated by a timer or a clock which when expired may result in an interruption. In this paper, we analyze models of MAP/PH/1-type with phase type breakdowns and phase type repairs analytically. The breakdowns are modeled using internal clocks. The study of such breakdowns in the context of MAP/PH/c-type models is carried out via simulation. Some illustrative examples are discussed.

First Page

259

Last Page

281

DOI

10.1007/978-3-030-66471-8_21

Rights

© Springer Nature Switzerland AG 2020

Recommended Citation

Chakravarthy, Srinivas R.; Meena, Rakesh Kumar; and Choudhary, Alka, "Queues with Markovian Arrivals, Phase Type Services, Breakdowns, and Repairs" (2020). Industrial & Manufacturing Engineering Publications. 121.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/121