Abstract: This paper treats a discrete-time batch arrival queue with geometrically working vacations and vacation interruption. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive the probability generating function (PGF) of the stationary system length at the departure epochs based on the embedded Markov chain technique. Next, w...

In this paper, we analyze a single-server vacation queue with a general arrival process. Two policies, working vacation and vacation interruption, are connected to model some practical problems. The GI/M/1 queue with such two policies is described and by the matrix analysis method, we obtain various performance measures such as mean queue length and waiting time. Finally, using some numerical e...

the multiple sclerosis (ms) is a chronic disease of cns leads to some dysfunctions including cognitive (working memory), mood (depression) and fatigue. in spite of previous investigations about working memory impairment in patients with ms, there are scare evidences for working memory dysfunction in mild disabled ms patients (edss

In this paper, Discontinuous Reception, a power savingmechanism in Long Term Evolution wireless networks, is analytically investigated in the presence of transient faults by using an unreliableM/G/1 queue with multiple vacations. System failures may occur either due to transient faults in themobile device or due towireless link errors.When a failure occurs, the device may request the retransmis...

In this paper, we discuss the discrete-time Geom/G/1 queue with multiple adaptive vacations and server setup/closedown times. We consider two types of closedown time policies which differ from each other in the completion instant of the closedown times and contrast the effects of them on the queueing system. We derive the probability generating functions (PGFs) and stochastic decomposition resu...

This paper introduces a generalization of the classical parallel-server fork-join queueing system in which arriving customers fork into multiple tasks, every task is uniquely assigned to one of the set of single-server queues, and each task consists of multiple iterations of different stages of execution, including task vacations and communication among sibling tasks. Several classes of dynamic...

Vacations enable people to help one another, spend time together in pleasant contexts, and renew relational resources. Reasoning that these shared activities spread social and psychological benefits through social networks, we hypothesized that increase in the number of vacationing workers engenders nonlinear decline in psychological distress at the population level. We applied time-series meth...

This paper compares the equilibrium threshold strategies of customers with different decision criteria in an observable queue with multiple vacations. Customers are not informed of the service time distribution and the state of the server, whereas they are told that the expected service time is an alternative of two values or the variable service time belongs to an interval. We find that both t...