Availability and maintenance modeling of a batch service queuing system

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/Mb/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.