This work considers a preemptive priority queueing system with vacation, where the single server may break down imperfect coverage. Various combinations of vacation models have been studied by many scholars. A common assumption in these is that will only resume its normal service rate after over. However, such speculation more limited real-world situations. Hence, this study, be interrupted if ...

The goal of this paper is to establish a general approach for analyzing queueing models with repeated inhomogeneous vacations. The server goes on for a vacation if the inactivity prolongs more than the vacation trigger duration. Once the system enters in vacation mode, it may continue for several consecutive vacations. At the end of a vacation, the server goes on another vacation, possibly with...

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Stress in the work place has a detrimental effect on people's health. Sufficient recovery is necessary to counteract severe chronic negative load reactions. Previous research has shown that vacationing for at least seven consecutive days provided an efficient recovery strategy. Yet, thus far, the effects of short vacations and the mode of vacation (whether at home or in a new environment) have ...

We study a batch arrival queueing system with service interruption and Extended server vacation based on Bernoulli schedule. A single server provides essential service to all arriving customers with service time following general distribution. After every service completion the server has the option to leave for phase one vacation of random length with probability p or to continue staying in th...

In this paper, we investigate the fuzzy logic based system characteristics of M/G/1 retrial queuing system with Bernoulli vacation schedule. The service time and vacation time are assumed to be generally distributed. It is found in many practical situations that the queuing models with fuzzy parameters are much more realistic than the classical crisp parameters based queuing models. We have cho...

We consider a M/G/1 queue where the server may take repeated vacations. Whenever a busy period terminates the server takes a vacation of random duration. At the end of each vacation the server may either take a new vacation or resume service; if the queue is found empty the server always takes a new vacation. The cost structure includes a holding cost per unit of time and per customer in the sy...

In this paper, we analyze a bulk input Geom/Geom/1 queue with single working vacation. Using the matrix analysis method, highly complicated PGF of the stationary queue size is firstly derived, from which we got the stochastic decomposition result for the PGF of the stationary queue size. It is important that we find the biparameter addition theorems of the conditional negative binomial distribu...

The concept of a single server retrial queueing system with delayed repair and feedback under working vacation policy, along the asymmetric transition representation, is discussed in this article. In addition, consumers are entitled to balk renege some situations. steady-state probability generating function for size orbit derived by using approach supplementary variables. Discussions include k...

We consider a machine repair problem with server breakdowns, in which an unreliable server (repairman) operates the threshold recovery policy. When there are no failed machines in the system, the server leaves for a vacation. If the server returns from a vacation to find no failed machines in the system, he/she immediately takes another vacation. And the server continues in this manner until he...