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Derivatives of Blocking Probabilities in Multirate Access Tree Networks

Moscholios I. D., Vardakas J. S., Logothetis M. D., Boucouvalas A. C.

Advances in Electronics and Telecommunications

2013

Vol. 3, no. 5

38--48

We consider a multirate access tree network accommodating service-classes of Poisson traffic, and focus on the determination of derivatives of Call Blocking Probabilities (CBP) with respect to offered traffic-load of any service-class. Based on the derivatives, we further show how we can successfully approximate CBP for small variations of offered traffic-load.