Papers by M.I.G. Suranga Sampath
Communications in Computer and Information Science, 2019
This study investigates the repairable single server queue with working vacations and system disa... more This study investigates the repairable single server queue with working vacations and system disasters. The server allows to take a working vacation if there is no any customers in the system. There is a possibility of breakdowns happening in a system. When the system occurs server breakdowns, the server goes to the failure state and all customers in the queue are flushed away. The repairing process starts immediately, when the server comes to the failure state. The explicit expression for system size probabilities of the queueing system is derived in terms of the modified Bessel function of first kind using the probability generating function method, Laplace transform and continued fractions. Additionally, the mean and variance for number of jobs in the system at time t are derived as the performance measures. Finally, a numerical example is presented to study the behavior of the system.
Indian Journal of Pure and Applied Mathematics
An M/M/1 queueing system subjected to multiple differentiated vacations, customer impatience and ... more An M/M/1 queueing system subjected to multiple differentiated vacations, customer impatience and a waiting server is analyzed. The explicit transient probabilities of system size are derived using probability generating function technique, Laplace transform, continued fractions and some properties of confluent hypergeometric function. Further, the time-dependent mean and variance are obtained as the performance measures. A numerical example is presented in order to study the behavior of the system.
Transient Analysis of an M/M/1 Queue with Reneging, Catastrophes, Server Failures and Repairs
Bulletin of the Iranian Mathematical Society
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Papers by M.I.G. Suranga Sampath