-The performance in terms of reliability of multi-server computer networks motivates this paper. The probability limit theorem is derived on the virtual waiting time of job in nodes in a multi-server open queueing network and applied to a reliability model for multi-server computer networks where we relate the time of failure of a multi-server computer network to the system parameters. Key-Word...

in this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (mqr/m/1) is modeled to find the optimal quantities of maximum inventory. the objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

We consider a multiserver queuing process speciied by i.i.d. interarrival time, batch size and service time sequences. In the case that diierent servers have diierent service time distributions we say the system is heterogeneous. In this paper we establish conditions for the queuing process to be characterized as a geometrically Harris recurrent Markov chain, and we characterize the stationary ...

Standard queuing theory describes only the long-term behavior of a queue. The passenger arrivals at the airport immigration fluctuate significantly during the day. The standard queuing theory cannot be used in this case for predicting the queue lengths. Instead time-dependent queuing approaches need to be applied. The queues and arrivals at the incoming immigration of Narita airport were observ...

Today, in a competitive market, service organizations and producers have a great attention to optimization and customer satisfaction in order to become competitive. Service organization must reduce the number of arrival, waiting time and service time in the queue to increase the customer satisfaction. In this paper by the aim of queuing theory we analyze the optimal amount of increment in a rep...