this paper analyzes a renewal input  working vacations queue with change over times and bernoulli schedulevacation interruption under (a,c,b) policy.the service and vacation times are exponentially distributed.the server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a

In this paper, an M/M/1 queue with working vacation and vacation interruption is investigated. The server is supposed to take a working vacation whenever the system becomes empty and if there are at least N customers waiting in the system at a service completion instant, vacation interruption happens and the server resumes a normal working period. A matrix geometric approach is employed to obta...

Queuing theory is the study of queues for managing process and objects. In this paper we analyze various models of the Single server queuing system with.Single-sever service node consists of a server plus its queue. If only one service technician, the machine shop model from section 1. 1 is a single-server queue.Queueing theory is the mathematical study of waiting lines, or queues. The MM1 queu...

Two random traffic streams are competing for the service time of a single server (multiplexer). The streams form two queues, primary (queue 1) and secondary (queue 0). The primary queue is served exhaustively, after which the server switches over to queue 0. The duration of time the server resides in the secondary queue is determined by the dynamic evolution in queue 1. If there is an arrival t...