Analysis of Bulk Queueing Model with Non Reliable Server
Journal Title: International Journal of Computational Engineering and Management IJCEM - Year 2014, Vol 17, Issue 6
Abstract
Here we will study bulk service to customer under optimal operation of a single removable and non-reliable server in Markovian queueing system under steady-state conditions. The decision maker can turn a server on at customer’s arrival or off at service completion. Here it is assumed that the server may breakdown only if working and requires repair at repair facility. Inter-arrival and service time distributions of the customers are assumed to be exponentially distributed. Breakdown and repair time distributions of the server are assumed to be exponentially distributed. The following cost structure is incurred to be system; a holding cost for each customer in the system per unit time, cost per unit time when a server fails, and fixed costs for turning the server on or off. The expected cost function per unit time is developed to obtain the optimal operating policy at minimum cost.
Authors and Affiliations
Sanjeet Singh, Naveen Kapil
Keywords
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