Performance Evaluation of Unreliable M(t)/M(t)/n/n Queueing System
Sushil Ghimire *
Department of Engineering Science and Humanities, Kantipur Engineering College, Tribhuvan University, Nepal.
Ram Prasad Ghimire
Department of Mathematical Science, School of Science, Kathmandu University, Nepal
Gyan Bahadur Thapa
Department of Engineering Science and Humanities, Central Campus, Institute of Engineering, Tribhuvan University, Nepal.
*Author to whom correspondence should be addressed.
Abstract
This paper deals with the performance evaluation of multi-server queuing system subject to breakdowns under transient frame work. The system does not accept the queue of the waiting customers. If the new customer upon its arrival finds 'n' customers already present in the system, then it is rejected. Customers arrive to the system in Poisson fashion and are served exponentially. The main purpose of this paper is to evaluate some performance measures- the proportion of lost customers, mean number of customers in service, utilization factor of servers, mean number of broken servers and utilization of repair capacity, all at any instant. By varying different parameters, the system behavior is examined with the help of numerical illustrations by using computing software so as to show the model under study has ample practical applications.
Keywords: Transient, unreliable, multi-server, breakdown