H.1 WHY QUEUEING ANALYSIS?........................................................................2! H.2 THE SINGLE-SERVER QUEUE......................................................................4! H.3 THE MULTISERVER QUEUE.........................................................................7! H.4 POISSON ARRIVAL RATE .........................................................................

A novel multi-server vacation queuing model is considered. The distinguishing feature of the model, compared to standard queues, self-sufficiency servers. server can terminate service and go on independently system manager overall situation in system. make decisions whether allow start work after completion when try returning some from a process customers. arrival flow defined by general batch ...

Consider a single server fixed batch service queueing system under multiple vacation with a possibility of negative arrival in which the arrival rate λ follows a Poisson process, the service time follows an exponential distribution with parameter μ. Further we assume a negative arrival rate occur at the rate of ν which follows a Poisson process and the length of time the server in vacation foll...

This paper studies the operating characteristics of an MX/Hk/1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves these customers until the system becomes empty again, otherwise goes for another vacation. The brea...