Reliability analysis of finite Markovian queueing system with batch arrival, catastrophe and repairs

The proposed work investigates a finite capacity queueing model with batch arrivals subject to catastrophe and repair time. It is assumed that the arrivals follow the Poisson stream that flows into a single server system with service times exponentially distributed. The server is devoid of service and all the customers are annihilated due to the occurrence of catastrophes. Reliability and availability prognostications play a major role in the smooth functioning of any queueing system. In this regard, system availability and reliability assessment has been extensively made to examine the effect of unexpected failures. Steady-state and transient probabilities are derived explicitly by employing the method of the Laplace transform technique. The important system characteristics like queue length, waiting time distribution, and cost-benefit ratio. Numerical simulations are anatomized to visualize the analytical results and the influence of various parameters on the system performance measures.