In this paper, a bulk arrival general bulk service queueing model delayed service with restricted vacation policy, variant arrival rate and setup time is considered. The server starts the service only if at least ‘a’ customers are waiting in the queue, and renders the service according to the general bulk service rule with minimum of ‘a’ customers and maximum of ‘b’ customers, then the server w...

In this paper we present an exact steady-state analysis of a discrete-time Geo/G/1 queueing system with working vacations, where the server can keep on working, but at a slower speed during the vacation period. The transition probability matrix describing this queuing model can be seen as an M/G/1-type matrix form. This allows us to derive the probability generating function (PGF) of the statio...

This paper deals with a discrete-time bulk-service Geo/Geo/1 queueing system with infinite buffer space and multiple working vacations. Considering an early arrival system, as soon as the server empties the system in a regular busy period, he leaves the system and takes a working vacation for a random duration at time n. The service times both in a working vacation and in a busy period and the ...

We study the effect of an emerging virus mutation on evolution epidemic, inspired by appearance delta variant SARS-CoV-2. show that if new is markedly more infective than existing ones epidemic can resurge immediately. The vaccination population plays a crucial role in epidemic. When older (and vulnerable) layers are protected, infections concern mainly younger people, resulting fewer hospitali...

This paper deals with multi-server queueing system two kinds of Working Vacations (WVs) and impatient customers. A random timer is started whenever a customer comes into the system. The may abandon if service not completed before impatience expires. Each time after serving all customers, becomes empty then server begins 1st kind vacation. On returning from WV, 2nd WV has no When back either or ...

PALM-MARTINGALE CALCULUS, QUEUES WITH VACATIONS, BATCH MARKOVIAN ARRIVAL PROCESSES,SERVER SET-UP Using Palm-martingale calculus, we derive the workload characteristic function and queue length moment generating function for the BMAP IGl/1 . queue with server vacations. In the queueing system under study, the server may start a vacation at the completion of a service or at the arrival of a custo...