We consider an M/G/1 quening system, where batches of customers are assumed to arrive the system according to a compound Poisson process. As soon as the system becomes empty, the server takes a vacation for a random length of time called vacation time to do other jobs, which is uninterruptible. After returning from that vacation, there are two possibilities viz. (i) he keeps on taking vacations...

In this paper we study a queueing system with state-dependent services and state-dependent vacations, or simply G/M(n)/1/K. Since the service rate is state-dependent, this system includes G/M/c and G/M/c/K queues with various types of station vacations as special cases. We provide a recursive algorithm using the supplementary variable technique to numerically compute the stationary queue length...

 In this paper, a bulk queueing system with multiple vacations under a restricted admissibility policy of arriving batches is considered. Arrivals occur in bulk according to Poisson process. But all the arrivals are not considered for service. During the busy period of the server, the arrivals are admitted with probability ‘ ’, whereas, with probability ‘  ’, they are admitted when the serve...

For patients with borderline personality disorder, separations from significant figures in their lives, including therapists, are thought to be particularly painful. According to clinical wisdom, these patients manifest aggressive and self-destructive behavior around the time of separation. However, virtually no empirical studies have been conducted to test these beliefs. In this study, the beh...

Ternary optical computer (TOC) has become a research hotspot in the field because of advantages such as inherent parallelism, numerous trits, low power consumption, extendibility, bitwise allocability and dynamical reconfigurability. Meanwhile, its performance evaluation attracts more attentions from potential users researchers. To model computing ecology accurately, this paper first builds thr...

We consider a stationary multi-class FIFO M/G/1 queue with exponential working vacations, where a server works at two different processing rates. There are K classes of customers, and the arrival rates and the distributions of the amount of service requirements of arriving customers depend on both their customer classes and the server state. When the system becomes empty, the server takes a wor...

In this paper, we consider retrial queueing systems with batch arrivals in which the server is subject to controllable interruptions (called vacations) and random interruptions (breakdowns). No specific assumption is taken regarding probability distributions of parametric random variables. The purpose of this work is to show effect of above mentioned parameters (in particular retrial and breakd...