Geo1+← Geo2/Geo1, Geo2\s\s+K Queue System with Mixed Delay and Loss

In this study, a Geo1 +← Geo2/Geo1, Geo2\s\s+K queue system with two classes of customers and priorities is considered. The first class of customers are with delay and loss, and the second class of customers are with loss. The second class of customers have preemptive resume priority to the first class of customers. Using the method of matrix analysis, the mean queue length, the loss probability and the system utility for the two classes of customers are derived. Finally, some numerical results are presented by Matlab program.