Steady-state Analysis of an M/M/ 2 Queueing System Operating in a Multi-phase Random Environment Subject to Disaster and Repair
In this research article, an M/M/2 queueing system operating in a multi-phase random environment
subject to disaster and repair is studied. The random environment discussed here has N phases and
k - th phase is exponentially distributed with mean the 1, k = ,...,2,1 N. The queueing system behaves
like M / M 2 k while in the k - th phase. At the end of the k - th phase, a disaster occurs where the servers are taken for repair and all the customers in the system are wiped out. Both the servers are
repaired jointly and the repair time is exponentially distributed with mean 1, 0 Immediately after the
repair completions, the system goes to phase k with probability kq. During repair time, Customers are
permitted to enter the queueing system. The probabilistic behaviour of the system is studied in steady
state by using probability generating function technique. Some performance measures of this queueing model are also obtained.
Author's Name: D. Piriadarshani, S. Narasimhan and Kanimozhiraman
Volume: Volume 11
Issues: Volume 11
Keywords: Disaster, Wash-Out, Repair, Random Environment, Steady State Analysis.