This paper analyzes a discrete-time batch arrival queue with working vacations. In a GeoX/G/1 system, the server works at a lower speed during the vacation period which becomes a lower speed operation period. This model is more appropriate for the communication systemswith the transmit units arrived in batches.We formulate the system as an embeddedMarkov chain at the departure epoch and by theM...

A queueing-inventory system with server’s vacations and impatient customers is investigated. Continuous review s , S policy considered for the system. The server leaves a vacation once inventory zero. customer arrived waits service pr...

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 studies the Ethernet Passive Optical Network (EPON) with gated-limited service. The transmission window (TW) is limited in this system to guaranteeing a bounded delay experienced by disciplined users, and to constrain malicious users from monopolizing the transmission channel. Thus, selecting an appropriate TW size is critical to the performance of EPON with gated-limited service dis...

We study a many-server queueing model with server vacations, where the population size dynamics of servers and customers are coupled: may leave for vacation only when no await, capacity available to is directly affected by number on vacation. focus scaling regimes in which queue fluctuate at matching time scales so that their limiting coupled. Specifically, we argue interesting coupled occur (a...

Abstract. A batch arrival retrial queue with general retrial times, state dependent admission, modified vacation policy and feed back is analysed in this paper. Arrivals are controlled according to the state of the server. If the orbit is empty, the server takes at most J vacations until at least one customer is received in the orbit when the server returns from the vacation. At the service com...

In this paper, we considered a batch arrival feedback retrial queue with two phase of service under Bernoulli vacation schedule and orbit search. At the arrival epoch of a batch, if the server is busy, under repair or on vacation then the whole batch joins the orbit. Where as if the server is free, then one of the arriving customers starts his service immediately and the rest join the orbit. At...

This paper analyzes renewal input state dependent queue with N policy wherein the server takes exactly one vacation. Using the supplementary variable technique and recursive method, we derive the steady state system length distributions at various epochs. Various performance measures has been presented. Finally, some numerical computations in the form of graphs are presented to show the paramet...