For the end-to-end (Originator-Destination pair) call blocking probability computation in multirate loss networks the so-called reduced load approximation under link independence assumption is often used, because it allows the derivation of analytical and numerical results. Its accuracy and extendibility to multirouting or multicasting networks (like me B-ISDN), however, is seldom studied. This paper attempts to generalize this assumption and to assess the usefulness of this generalization by comparing simulation and approximation results on link, route, and end-to-end blocking probability evaluation for these kinds of networks. The accuracy of the approximation is examined by a simulation tool called Flexible Simulation Platform for ATM Networks. An important application example of this generalized link-, route- and Originator-Destination pair blocking measure is the formulation of an optimization model for multirate loss networks, which optimizes carried traffic and network revenue.
Abstract.For the end-to-end call blocking probability computation in multi-rate loss networks the so called reduced load approximation under link independence assumption is often used, because it allows derivation of analytical results. However, its accuracy and extendibility to multirouting or multicasting networks (like the B-ISDN) is seldom studied. This paper proposes new analytical methods for approximating the call blocking probabilities for alternative routing and point-to-multipoint connections. The results are derived for different cases and techniques and further generalised for Whitt's summation bound.
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