Main Article Content
This paper presents a retrial queueing system with customer induced interruption while in service. We consider a single server queueing system of infinite capacity to which customers arrive according to a Poisson process and the service time follows an exponential distribution.
An arriving customer to an idle server obtains service immediately and customers who find server busy go directly to the orbit from where he retry for service. The inter-retrial time follows exponential distribution. The customer interruption while in service occurs according to a Poisson process and the interruption duration follows an exponential distribution. The customer whose service is got interrupted will enter into a finite buffer. Any interrupted customer, finding the buffer full, is considered lost. Those interrupted customers who complete their interruptions will be placed into another buffer of same size. The interrupted customers waiting for service are given non-preemptive priority over new customers. We analyse the steady-state behavior of this queuing system. Several performance measures are obtained. Numerical illustrations of the system behaviour are also provided with example.
Krishnamoorthy A, Pramod PK, Chakravarthy SR. A survey on queues with interruptions.
TOP-Spanish journal of Statistics & Operations Research. 2014;22(1):290-320.
Jacob V, Chakravarthy SR, Krishnamoorthy A. On a customer induced interruption in a service system. Abstract of International Workshop on Retrial Queues (8th WRQ). Beijing, China; 2010.
Jacob V, Chakravarthy SR, Krishnamoorthy A. On a customer induced interruption in a service system. Stochastic Analysis and Applications. 2012;30:949-962.
Krishnamoorthy A, Jacob V. Analysis of customer induced interruption in a multi server systeml. Neural, Paralle and Scientific Computations. 2012;20:153-172.
Jacob V, Krishnamoorthy A. Analysis of customer induced interruption and retrial of interrupted customers. American Journal of Mathematical and Management Sciences.;34(4):343-366.
Punalal J, Babu S. A single server queueing model with self-generation of priorities, customer induced interruption and retrial of customers. International Journal of Research in Advent Technology. 2019;7(3):1299-1303.
Neuts MF. Matrix-Geometric solutions in stochastic models - an algorithmic approach. 2nd ed., Dover Publications Inc., New York; 1994.
Latouche G, Ramaswami V. A logarithmic reduction algorithm for quasi-birth-and-death processes. Journal of Applied Probability. 1993;30:650-674.