The mathematical model of an two-phases-service M/M/1/N queuing system with the server breakdown and multiple vacations was realized and established in the Graduate Employment Services system. Secondly, equations of steady-state probability were derived by applying the Markov process theory. Then, we obtained matrix form solution of steady-state probability by using blocked matrix method. Final...

vi Preface A variety of queueing models have been proposed and analyzed to evaluate the pelformance of systems such as computer, communication and manufacturing systems. Among them, queueing systems with vacations have been extensively studied in the last two decades since those have a lot of applications in those real systems. For example, in most computer systems, a processor is shared among ...

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...

The M/C/1 queue with multiple vacations and gated service discipline is considered. We first provide an alternative approach to derive the Laplace-Stieltjes transform of the limiting waiting time distribution, which reveals the stochastic structure of the gated vacation system. Next we discuss the regenerative cycle of the gated vacation system. Based on these considerations, we carry our a tim...

This paper deals with the steady state behaviour of an Mx/G/1 queuing system with two different vacation periods under multiple vacation policy, where length of the first vacation is different from the rest of the vacations. We are concerned with the distribution of the queue size at busy period initiation epoch and distribution of the unfinished work. Further, we present a simple transform fre...

Shanthikumar [10] studied the priority M/G/1 queue with server vacations and found that the difference between the waiting time distribution under the non-preemptive priority and that under the preemptive-resume priority is independent of the vacation policy. We extend this interesting property i) to the generalized vacations which includes the two vacation policies considered by Shanthikumar, ...

Chronic incomplete recovery from work may have serious consequences in terms of ill-health. Although vacation is one of the most powerful manipulations of recovery in a field context, up to now only few researchers have addressed the impact of vacation on recovery from work. The aim of the current contribution is to present an overview of previous and current findings in this area and to give s...