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.
Bouchentouf, Amina A.; Rabhi, Abbes; and Yahiaoui, Lahcene
Stability Condition of a Retrial Queueing System with Abandoned and Feedback Customers,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 10,
2, Article 2.
Available at: https://digitalcommons.pvamu.edu/aam/vol10/iss2/2