A single-server queueing system of MX/G/1 type with unlimited buffer size is considered. Whenever the system becomes empty, the server takes a single compulsory vacation that is independent of the arrival process. The service of the first customer after the vacation is preceded by a random setup time. We distinguish two cases of the evolution of the system: when the setup time begins after the ...

In this paper, we investigate the fuzzy logic based system characteristics of MX/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...

In this paper, we model a cold standby repairable system with one repairman. Suppose that the system consists of two dissimilar components and one repairman, in which component 1 is the major working unit and component 2 is the cold stand-by unit, component 1 has priority in use and repair; then the repairman takes a single vacation. Under these assumptions , we derive a model of partial differ...

The M/G/1 classic queueing system were extended by many authors in last two decades. The systems with server’s vacation are important models that extend the M/G/1 queueing system. Also another conditions such as admissibility restricted may occure in systems. From this motivation, in this system I consider a single server queue with batch arrival Poisson input. There is a restricted admissibili...

Most vacations seem to have strong, but rather short-lived effects on health and well-being (H&W). However, the recovery-potential of relatively long vacations and the underlying processes have been disregarded. Therefore, our study focused on vacations longer than 14 days and on the psychological processes associated with such a long respite from work. In the present study, we investigated (1)...

In this paper we study a multi-server queue with single Vacation (e,d)policy using DSW (Dong, Shah, Wong) algorithm. Vacation rate is fuzzy number. Approximate method of extension namely DSW algorithm is used to define membership functions of the performance measures. It is based on the αcut representation of fuzzy sets in a standard interval analysis. Numerical example is given to test the fea...

In this paper, we present a discrete-time single-server finite-buffer queue in which the server takes single/multiple vacations whenever the system becomes empty. The interarrival times are geometrically distributed and service, vacation times are independently identically distributed random variables and their durations are integral multiples of a slot duration. We obtain the state probabiliti...

the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract We consider an M [x] /G/1 queue with two types of service subject to random breakdowns having multiple server vacation, where the customers arrive to the system in batches of variable size. We assume that a single server p...

We consider a discrete-time gated vacation system. The available buffer space is divided into two subsequent queues separated by a gate and new customers arrive either before or after this gate. Whenever all customers after the gate are served, the server takes a vacation. After each vacation, the gate opens which causes all waiting customers to move to the buffer space after the gate. The mode...