منابع مشابه
Analysis of Two-server Queues with a Variant Vacation Policy
We study an M/M/2 queueing system with two heterogeneous servers under a variant vacation policy, where the two servers may take together at most J vacations when the system is empty. A quasi-birth-and-death process is formulated to analyze the system. We obtain the explicit expressions of the stationary distribution of the system size and the mean system size. We also show that the number of v...
متن کاملAn analysis of multiple-class vacation queues with individual thresholds
This study examines a multiple-class M=G=1 queue with multiple thresholds. Each class of customer arrives according to an independent Poisson process, and each class has its own threshold. The idle server is reactivated as soon as any one of the thresholds is reached. Both FCFS and non-preemptive priority cases are considered. The Laplace–Stieltjes transform of the waiting time distribution fun...
متن کاملVacation Queues With Impatient Customers and a Waiting Server
queueing models with impatient customers, server vacations and a waiting server. The arrival process is assumed to be Poisson. The server is allowed to take a vacation whenever the system is empty after waiting for a random period of time. Whenever the server is on vacation, each customer in the queue independently of the other customers sets up an impatience timer. If the server does not retur...
متن کاملUnreliable bulk retrial queues with delayed repairs and modified vacation policy
The present investigation deals with the bulk arrival M/G/1 retrial queue with impatient customers and modified vacation policy. The incoming customers join the virtual pool of customers called orbit if they find the server being busy, on vacation or in broken down state otherwise the service of the customer at the head of the batch is started by the server. The service is provided in k</em...
متن کاملOn Queues with Markov Modulated Service Rates
In this paper, we consider a queue whose service speed changes according to an external environment that is governed by a Markov process. It is possible that the server changes its service speed many times while serving a customer. We derive first and second moments of the service time of customers in system using first step analysis to obtain an insight on the service process. In fact, we obta...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 1990
ISSN: 0001-8678,1475-6064
DOI: 10.1017/s0001867800019960