Bulk Arrival Two Phase Retrial Queueing System with Impatient Customers, Orbital Search, Active Breakdowns and Delayed Repair

Bagyam, J. Ebenesar Anna; Chandrika, K. Udaya; Rani, K. Prakash
July 2013
International Journal of Computer Applications;Jul2013, Vol. 73 Issue 1-22, p13
Academic Journal
Bulk arrival general service retrial queueing system is analyzed in this paper. Server provides two phases of service-essential and optimal. After each service completion, the server searches for customers in the orbit. Customers may balk or renege at particular times. Accidental and active breakdown of the server is considered. The repair of the failed server starts after a random amount of time known as delay time. After repair the server continues the service of the interrupted customer or waits for the same customer. The necessary and sufficient condition for the system to be stable is presented. By applying supplementary variable technique, the steady state distributions of the server state and the number of customers in the orbit are obtained. Numerical examples are presented to illustrate the influence of the parameters on several performance characteristics


Related Articles

  • Incompleteness of results for the slow-server problem with an unreliable fast server. Özkan, Erhun; Kharoufeh, Jeffrey // Annals of Operations Research;Mar2015, Vol. 226 Issue 1, p741 

    Efrosinin (Ann Oper Res 202:75-102, ) examined the optimal allocation of customers in an $$M/M/2$$ queueing system with heterogeneous servers differentiated by their service rates and reliability attributes. Specifically, the faster server is subject to partial or complete failures, and the...

  • Queues with interruption in random environment. Krishnamoorthy, A.; Jaya, S.; Lakshmy, B. // Annals of Operations Research;Oct2015, Vol. 233 Issue 1, p201 

    In this paper we discuss a queueing system with service interruption. The service gets interrupted due to different environmental factors. Here it is assumed that interruption due to only one factor is allowed at a time. Further we assume that while in interruption no other interruption befalls...

  • Asymptotically optimal control of many-server heterogeneous service systems with $H_{2}^{*}$ service times. Tezcan, Tolga // Queueing Systems;Aug2012, Vol. 71 Issue 4, p445 

    Optimal control of many-server heterogenous service systems with service times that have a special hyper-exponential distribution, denoted by $H_{2}^{*}$, which is a mixture of an exponential distribution and a unit point mass at 0, is considered. A static priority policy that assigns priorities...

  • Waiting times in queueing networks with a single shared server. Boon, M.; Mei, R.; Winands, E. // Queueing Systems;Aug2013, Vol. 74 Issue 4, p403 

    We study a queueing network with a single shared server that serves the queues in a cyclic order. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the system or is routed to another queue. This model is very...

  • The Benefit of Introducing Variability in Single-Server Queues with Application to Quality-Based Service Domains. Ying Xu; Scheller-Wolf, Alan; Sycara, Katia // Operations Research;Jan/Feb2015, Vol. 63 Issue 1, p233 

    We propose a static service differentiation policy for a single-server queueing system serving homogeneous customers. We show that by randomly assigning customers different service grades with different service rates, the average waiting time can be reduced without affecting the mean service...

  • Fluid limits of many-server retrial queues with nonpersistent customers. Kang, Weining // Queueing Systems;Feb2015, Vol. 79 Issue 2, p183 

    This work considers a many-server retrial queueing system in which nonpersistent (impatient) customers with i.i.d., generally distributed service times and independent sequences of i.i.d., generally distributed inter-attempt times. A newly arrived customer attempts to obtain service immediately...

  • Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service. Claeys, Dieter; Laevens, Koenraad; Walraevens, Joris; Bruneel, Herwig // Mathematical Methods of Operations Research;Aug2010, Vol. 72 Issue 1, p1 

    Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In addition, none of these...

  • Idle time utilization through service to customers in a retrial queue maintaining high system reliability*. Dudin, A.; Krishnamoorthy, A.; Narayanan, V. // Journal of Mathematical Sciences;Jun2013, Vol. 191 Issue 4, p506 

    We consider a k-out-of- n system in which life times of components are exponentially distributed with parameter λ/i, when there are i operational components. There is a single server who repairs the failed components. In addition, service is rendered to external customers also when there are...

  • Service-Level Differentiation in Many-Server Service Systems via Queue-Ratio Routing. Gurvich, Itai; Whitt, Ward // Operations Research;Mar2010, Vol. 58 Issue 2, p316 

    Motivated by telephone call centers, we study large-scale service systems with multiple customer classes and multiple agent pools, each with many agents. To minimize staffing costs subject to service-level constraints, where we delicately balance the service levels (SLs) of the different...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics