Title :
Derivatives of blocking probabilities in multirate access tree networks
Author :
Moscholios, I.D. ; Vardakas, John S. ; Logothetis, M.D. ; Boucouvalas, A.C.
Author_Institution :
Dept. of Telecommun. Sci. & Technol., Univ. of Peloponnese, Tripolis, Greece
Abstract :
We consider a multirate access tree network accommodating K 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.
Keywords :
probability; stochastic processes; subscriber loops; telecommunication network topology; telecommunication traffic; CBP; K-service-class; Poisson traffic load; call blocking probability; multirate access tree networks; Approximation algorithms; Approximation methods; Bandwidth; Equations; Mathematical model; Resource management; Topology;
Conference_Titel :
Communication Systems, Networks & Digital Signal Processing (CSNDSP), 2012 8th International Symposium on
Conference_Location :
Poznan
Print_ISBN :
978-1-4577-1472-6
DOI :
10.1109/CSNDSP.2012.6292664
