%0 Journal Article
%T On Queues with Priority Determined by Feedback
%A A. Krishnamoorthy
%A A. S. Manjunath
%J Calcutta Statistical Association Bulletin
%@ 2456-6462
%D 2018
%R 10.1177/0008068318767271
%X Customers arrive to a two-priority queueing system according to a marked Poisson process. Both waiting rooms have infinite capacity. Customers are served one at a time according to FIFO discipline on priority basis: those in waiting line 1( P 1 ) are given priority over the ones in line 2( P 2 ). The service time is class-dependent phase type. After completion of service, high priority ( P 1 ) customers may feed back for service according to a Bernoulli process. Feed back customers are sent to the low priority ( P 2 ) queue. When at a service completion epoch of a P 1 customer, if there is none left behind in P 1 line, then the server goes to serve P 2 class. For the two-priority queueing system, we assume that P 2 customers are not allowed an additional feed back. Both preemptive and non-preemptive service disciplines are analysed. Waiting time distribution of both type of customers are derived. As a special case, the situation where there is no external entry to the P 2 line is discussed
%K Marked poisson process
%K Priority queues
%K feedback
%K dependent system
%U https://journals.sagepub.com/doi/full/10.1177/0008068318767271