Consider a GI/Geo/1 queue with start-up period and single working vacation. When the system is in a closed state, an arriving customer leads to a start-up period. After the start-up period, the system becomes a normal service state. During the working vacation period, if there are customers at a service completion instant, the vacation can be interrupted and the server will come back to the nor...

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 ...

This study presents and discusses the home delivery services in stochastic queuing-inventory modeling (SQIM). system consists of two servers: one server manages inventory sales processes, other provides at doorstep customers. Based on Bernoulli schedule, a customer served by first may opt for service. If any chooses option, he hands over purchased item leaves immediately. Otherwise, carries sys...

Present investigation deals with optimal management policy for Markovian queue with server breakdowns, vacations and setup. The customers arrive in Poisson fashion to get the service. The server may breakdown during the service and goes for repair immediately. By applying probability generating function technique queue length distribution is obtain for different states of the server. Further we...

The present investigation deals with performance analysis of single server preemptive priority retrial queue with immediate Bernoulli feedback. There are two types of customers are considered, which are priority customers and ordinary customers. The priority customers do not form any queue and have an exclusive preemptive priority to receive their services over ordinary customers. After complet...

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...

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...