This investigation deals with MX/G/1 queueing model with setup, bulk- arrival, loss-delay and balking. The provision of second optional service apart from essential service by an unreliable server is taken into consideration. We assume that the delay customers join the queue when server is busy whereas loss customers depart from the system. After receiving the essential service, the customers m...

active queue management (aqm) plays an important role in the internet congestion control. it tries to enhance congestion control, and to achieve tradeoff between bottleneck utilization and delay. random early detection (red) is the most popular active queue management algorithm that has been implemented in the in internet routers and is trying to supply low delay and low packet loss. red algori...

This paper studies two stochastic Models (A) and (B) with bulk production and bulk sales of products with catastrophe. The system has infinite storing capacity and the production and sales sizes are finite valued random variables with finite maximum production and sales sizes. When a catastrophe occurs the entire stocks are sold. Matrix partitioning method is used to study the models. In Model ...

AbstractIn this paper, a single server bulk service queuing system with interrupted vacation, request for Re-service and Balking is considered. At a service completion, if the server finds at least „a‟ customers waiting for service say ξ, he serves a batch of min (ξ ,b ) customers, whereb ≥ a. At the completion of an essential service, the leaving batch of customers may request for a re-service...

Heterogeneity is becoming increasingly ubiquitous in modern large-scale computer systems. Developing good load balancing policies for systems whose resources have varying speeds crucial achieving low response times. Indeed, how best to dispatch jobs servers a classical and well-studied problem the queueing literature. Yet bulk of existing work on assumes homogeneous servers; unfortunately, that...

In this paper, we discuss a batch arrival bulk service queue with rework for the faculty item, possibility of breakdown, repair, and two kinds multiple vacation different threshold policy. The server serves remaining after repair completion. This type queuing model has lot applications in manufacturing/ production industries. Performance measures stability conditions are obtained. Numerical ill...

M=G=1 non-preemptive priority queue with bulk arrivals has already been analysed in many papers. Two problems are known in this area: first, when the number of priorities is greater than 2, the analysis for priority processes is obviously very difficult to handle. Therefore, the earlier work on the subject was restricted mostly to two priority classes; and second, although analytically explicit...