Availability and maintenance modeling of a batch service queuing system

Abstract

Purpose

The purpose of the paper is to analyze reliability characteristics of batch service queuing system with a single server model that envisages Poisson input process and exponential service times under first come, first served (FCFS) queue discipline.

Design/methodology/approach

With the help of renewal theory and stochastic processes, a model has been designed to discuss the reliability and its characteristics.

Findings

The instantaneous and steady-state availability along with the maintenance model of the systems subject to generalized M/M_b/1 queuing model is derived, and a few particular cases for availability are obtained as well. For supporting the developed model, a case study on electrical distribution system (EDS) has been illustrated, which also includes a comparison for the system subject to M/Mb/1 queuing model and the system without any queue (delay).

Originality/value

It is a quite realistic model that may aid to remove congestion in the system while repairing.

Citation

Agarwal, S. and Singh, S.B. (2022), "Availability and maintenance modeling of a batch service queuing system", International Journal of Quality & Reliability Management, Vol. 39 No. 9, pp. 2138-2154. https://doi.org/10.1108/IJQRM-12-2020-0407