Availability and maintenance modeling of a batch service queuing system

• Published in: The International journal of quality & reliability management Vol. 39; no. 9; pp. 2138 - 2154
• Main Authors: Agarwal, Shweta, Singh, S.B.
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 17.10.2022; Emerald Group Publishing Limited
• Subjects: Availability; Customer services; Failure; Maintenance; Preventive maintenance; Queuing; Queuing theory; Reliability analysis; Servers; Stochastic processes; M/M; Maintenance; Reliability; Steady-state availability; 1 queuing model
• ISSN: 0265-671X; 1758-6682
• DOI: 10.1108/IJQRM-12-2020-0407

PurposeThe 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/approachWith the help of renewal theory and stochastic processes, a model has been designed to discuss the reliability and its characteristics.FindingsThe 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/valueIt is a quite realistic model that may aid to remove congestion in the system while repairing.