This paper deals with a M/M/c queueing system waiting servers, balking, reneging, and K-variant working vacations subjected to Bernoulli schedule vacation interruption. Whenever the is emptied, servers wait for while before synchronously going on during which services are offered lower rate. We obtain steady-state probabilities of using matrix-geometric method. In addition, we derive important ...

Consider a GI/Geo/1 queue with start-up period and single working vacation. When the system is in a closed state, an arriving customer leads to a start-up period. After the start-up period, the system becomes a normal service state. During the working vacation period, if there are customers at a service completion instant, the vacation can be interrupted and the server will come back to the nor...

In this paper considers M[X1]/G1/1, M[X2]/G2/1 , M[X3]/G3/1 general queueing system with priority services . Three types of customers from different classes arrive at the in independent Poisson process. The server follows non preemptive rule subject to working breakdown, and modified Bernoulli vacation (arbitrary) periods. After completing service, if there is no high present system. time depen...

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...

We consider a finite-buffer single server queueing system with queue-length dependent vacations where arrivals occur according to a batch Markovian arrival process (BMAP). The service discipline is P-limited service, also called E-limited with limit variation (ELV) where the server serves until either the system is emptied or a randomly chosen limit of L customers has been served. Depending on ...