Admission Policies for a Two Class Loss System with General Interarrival Times

This paper considers the problem of dynamic admission control in a loss queueing system with two classes of jobs. The jobs require an exponential amount of service time with different means and bring different revenues, whereas the arrivals occur according to a general distribution. We establish the existence of optimal acceptance thresholds for both job classes and show that under certain conditions there exists a preferred class. We also provide an example to demonstrate that for a Markov modulated Poisson arrival process there may be states in which both classes are rejected.
Keywords: Dynamic admission control; General interarrival times; Loss systems; Treshold policies
Mathematics Subject Classification: Primary 90C40, 90B22; Secondary 60K20