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...

A queueing system with batch Poisson arrivals and single vacations with the exhaustive service discipline is investigated. As the main result the representation for the Laplace transform of the transient queue-size distribution in the system which is empty before the opening is obtained. The approach consists of few stages. Firstly, some results for a “usual” system without vacations correspond...

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 ...

We study an M/G/1 processor sharing queue with multiple vacations. The server only takes a vacation when the system has become empty. If he finds the system still empty upon return, he takes another vacation, and so on. Successive vacations are identically distributed, with a general distribution. When the service requirements are exponentially distributed we determine the sojourn time distribu...

Economizing and spending priorities on different types of vacations are investigated during two periods: an economic downturn and returning prosperity. Two nation-wide samples of vacationers are used: one during a downturn, the other one at the start of the recovery period. Through comparing the results, conclusions can be drawn about symmetric or asymmetric tourist demand across the business c...

In this note we identify a simple setup from which one may easily infer various decomposition results for queues with interruptions as well as càdlàg processes with certain secondary jump inputs. In particular, this can be done for processes with stationary or stationary and independent increments. It resulted from an attempt to understand these kind of results after having detected an error in...

This paper presents an analysis of a cyclic-service tandem queue (M/C/l type queue) with exhaustive services and multiple server vacations, in which a single server takes repeated vacations until it finds at least one message in the first queue after emptying the queueing system. It is assumed that the vacation time is generally distributed, and switch-over times are zero. This paper analyzes q...

⎯We consider a single server retrial queue with batch arrivals, two phases of heterogeneous service and multiple vacations with Npolicy. The primary arrivals find the server busy or doing secondary job (vacation) will join orbit (group of repeated calls). If the number of repeated calls in orbit is less than N, the server does the secondary job repeatedly until the retrial group size reaches N....

When using a Discontinuous Reception (DRX) mechanism in Long Term Evolution (LTE) for wireless communication of high-speed data, two different operational modes are employed: Idle DRX and Active DRX. In this paper, in order to guarantee a low latency while reducing the energy consumption, we introduce a sleep-delay timer before the system enters into a sleep state from a working state, and cons...