This paper deals with finite-population, single and multi-server queueing systems with two classes of vacation mechanisms : station vacation and server vacation. In the first one, all the servers take vacation simultaneously whenever the system becomes empty, and they also return to the system at the same time, i.e., station vacation is group vacation for all servers. For the second class of va...

In industrial systems, the K-out-of-N: G system is a prominent type of redundancy. The load sharing protects such from malfunctioning/destroying and avoids overload problem that affects reliability in significant manner. this paper we develop Markovian model load-sharing having non-identical repairable components wherein server may on working vacation. During his vacation period, repairs failed...

Most vacations seem to have strong, but rather short-lived effects on health and well-being (H&W). However, the recovery-potential of relatively long vacations and the underlying processes have been disregarded. Therefore, our study focused on vacations longer than 14 days and on the psychological processes associated with such a long respite from work. In the present study, we investigated (1)...

We study a batch arrival M/M/1 queue with multiple working vacation. The server serves customers at a lower rate rather than completely stopping service during the service period. Using a quasi upper triangular transition probability matrix of two-dimensional Markov chain and matrix analytic method, the probability generating function (PGF) of the stationary system length distribution is obtain...

doi: 10.5829/idosi.ije.2012.25.03c.06