An M/G/1 Retrial Queue with Priority, Balking and Feedback Customers
نویسندگان
چکیده
We consider an M/G/1 queue with general retrial times where the blocked customers may balk the system, or join the priority queue, or enter the orbit. As soon as a customer is served, he will decide either to leave the system or join the orbit for another service in accordance with an FCFS discipline. We assume that only the customer at the head of the orbit is allowed to retry for service. We analyze the ergodicity of the embedded Markov chain, and present some performance measures of the system in steady-state. Numerical results are presented with a focus on the effect of balking and feedback on the system performance.
منابع مشابه
Transient analysis of non-Markovian retrial queueing system with priority services, second optional service, balking, server’s interruptions and a stand by server
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...
متن کاملAn M/g/1 Retrial Queue with Second Multi-optional Service, Feedback and Unreliable Server
An M/G/1 retrial queue with two-phase service and feedback is studied in this paper, where the server is subject to starting failures and breakdowns during service. Primary customers get in the system according to a Poisson process, and they will receive service immediately if the server is available upon arrival. Otherwise, they will enter a retrial orbit and are queued in the orbit in accorda...
متن کاملA Feedback Retrial Queueing System with Two Types of Batch Arrivals
A retrial queueing system with two types of batch arrivals, called type I and type II customers, is considered. Type I customers and type II customers arrive in batches of variable sizes according to two different Poisson processes. Service time distributions are identical and independent and are different for both types of customers. If the arriving customers are blocked due to the server bein...
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 کاملA Single Server Retrial Queue in Bernoulli Schedule With Feedback on Non-Retrial Customers
In this paper, we consider an M/G/1 retrial queue with Bernoulli feedback and general retrial times where the external arrivals blocked either with probability q join the infinite waiting room called non-retrial queue or with probability p, (p+q = 1) leave the service area and enter the retrial group called orbit in FIFO discipline. Also we assume that only the customer at the head of the orbit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- JCIT
دوره 5 شماره
صفحات -
تاریخ انتشار 2010