Analysis of a non-Markovian single server batch arrival queueing system of compulsory three stages of services with fourth optional stage service, service interruptions and deterministic server vacations

P. Vignesh, S. Srinivasan and S. Maragatha Sundari

International Journal of Operational Research, 2019, vol. 34, issue 1, 28-53

Abstract: This paper deals with the steady state analysis of a single server batch arrival queueing system with three stages of compulsory service. An additional supposition of a fourth stage optional service is well thought-out. The server may take a vacation after completion of service. In this model, the vacation is of predetermined duration. A busy server may break down at any moment. It is tracked by a repair process. Service time, vacation time and repair time follow general distribution. The steady state probability generating function for the system and also system recital measures is obtained by using a supplementary variable technique. Some special cases of the model are also discussed. The model is justified by means of numerical illustrations followed by graphical representation.

Keywords: batch arrival; three stage service; fourth optional service; service interruption; deterministic server vacation. (search for similar items in EconPapers)
Date: 2019
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