A Two Priority Mg1 Queue With Feedback

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A Two Priority Mg1 Queue With Feedback
Julian Keilson
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Details are provided in Appendix A. 4.
page 10 5. The first pass time We define the first pass time of a Cj customer to be the time from the arrival of that customer to the system until the completion of that customer's first service. The expected value of the first pass time at ergodicity is a measure of the performance of the system. Its distribution is also an important ingredient for the calculation of the total time in the system- Theorem 5. 1 (Ergodic First Pass Time and the Number in the
... System): The transform of the joint distribution of V. , the duration of the first pass time, and of N, the number of C2 customers in the system at the end of the first pass is given by T^i(u, s) = E[u^l* e-sVl] = ot^^Cw) [ voo(z. W) + E(oo)] +

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