184 research outputs found
Stability Condition of a Retrial Queueing System with Abandoned and Feedback Customers
This paper deals with the stability of a retrial queueing system with two orbits, abandoned and feedback customers. Two independent Poisson streams of customers arrive to the system, and flow into a single-server service system. An arriving one of type i; i = 1; 2, is handled by the server if it is free; otherwise, it is blocked and routed to a separate type-i retrial (orbit) queue that attempts to re-dispatch its jobs at its specific Poisson rate. The customer in the orbit either attempts service again after a random time or gives up receiving service and leaves the system after a random time. After the customer is served completely, the customer will decide either to join the retrial group again for another service or leave the system forever with some probability
A retrial system with two input streams and two orbit queues
Two independent Poisson streams of jobs flow into a single-server service
system having a limited common buffer that can hold at most one job. If a
type-i job (i=1,2) finds the server busy, it is blocked and routed to a
separate type-i retrial (orbit) queue that attempts to re-dispatch its jobs at
its specific Poisson rate. This creates a system with three dependent queues.
Such a queueing system serves as a model for two competing job streams in a
carrier sensing multiple access system. We study the queueing system using
multi-dimensional probability generating functions, and derive its necessary
and sufficient stability conditions while solving a boundary value problem.
Various performance measures are calculated and numerical results are
presented.Comment: N° RR-7999 (2012
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