This paper mainly deals with a two phase service queueing model with gated service vacation. In this gated service vacation model, only those customers who are present in the queue when the server starts a batch mode service are taken into the batch. We have derived probability generating functions of the system size and the orbit size. We have investigated the conditions under which the steady...

We consider the problem of scheduling heterogeneous batch processor under the conditions non-identical job sizes, dynamic job arrivals and incompatible job families. The problem studied in this paper is motivated by heat-treatment operations in the pre-casting stage of steel casting manufacturing. We proposed a few heuristic algorithms with maximizing the average utilization of batch processors...

Vacation queueing models have wide range of application in several areas including computer-communication, and manufacturing systems. A finite-butTer single-server queue with renewal input and multiple exponential vacations has been analysed by Karaesmen and Gupta (1996). In this paper we extend the analysis to cover the batch arrivals. i.e. we consider a batch alTiva! single-server queue with ...

This paper analyzes a finite-buffer queueing system, where customers arrive in batches and the accepted are served by single server. The service is assumed to be dependent on batch-size follows general bulk rule. inter-arrival times of correlated they represented through batch Markovian arrival process (BMAP). Computation procedure queue-length distributions at post-batch-service completion, an...

We analyze an infinite-server queueing model with synchronized arrivals and departures driven by the point process {Tn} according to the following rules. At time Tn, a single customer (or a batch of size βn) arrives to the system. The service requirement of the ith customer in the nth batch is σi,n. All customers enter service immediately upon arrival but each customer leaves the system at the ...