Abstract: We consider a finite-buffer single server queue with single (multiple) vacation(s) under batch Markovian Arrival Process (BMAP). The service discipline is varying number limited service, also called E-limited with limit variation (ELV) where the server serves until either the system is emptied or a randomly chosen limit of l customers have been served. Queue length distributions at va...

Consider an M/M/1 retrial queue with collisions and working vacation interruption under N-policy. We use a quasi birth and death process to describe the considered system and derive a condition for the stability of the model. Using the matrix-analytic method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decompo...

Abstract Daily sedation interruption or vacation is a strategy for neurological evaluation, respiratory mechanics, cardiac stability, and eventual weaning to extubation. However, its application has safety aspects such as pulmonary, cardiac, complications. A protocol-driven in the medical intensive care helps with reduction length of stay increase ventilator-free days.1,2 The same approach can ...

In this paper, we study the asymptotic behaviour of tail probability number customers in steady-state M/G/1 retrial queue with Bernoulli schedule, under assumption that service time distribution has a regularly varying tail. Detailed properties are obtained for conditional (priority) and orbit, respectively, terms recently proposed exhaustive stochastic decomposition approach. Numerical example...

In this paper we consider M[X]/G(a, b)/1 queueing system with accessible service, server breakdown without interruption, multiple vacation and closedown time. The service rule is as follows: the server starts service only when a minimum number of customers ′a′ is available in the queue and the maximum service capacity is ′b′ units such that late entries are allowed to join a service batch, with...

This paper deals with the transient analysis of batch arrival retrial queueing system with general retrial times, priority service, balking, second optional service, Bernoulli vacation, extended vacation, breakdown, delayed repair and stand by server. Here we assume that customers arrive in batches according to compound Poisson processes, where the blocked customers either with probability p jo...