Efficient Multirate Teletraffic Loss Models Beyond Erlang

11Batched Poisson Multirate Elastic Adaptive Loss Models

In this chapter we consider multirate loss models of batched Poisson arriving calls with fixed bandwidth requirements and elastic bandwidth allocation during service. As we have reached the last chapter of the book, the reader should be able to understand the title of this chapter. As a reminder, in the batched Poisson process (in which now a batch consists of two types of calls, elastic or adaptive), simultaneous call‐arrivals (batches) occur at time‐points following a negative exponential distribution. Elastic calls can reduce their bandwidth and simultaneously increase their service time. Adaptive calls can tolerate bandwidth compression without altering their service time.

11.1 The Elastic Erlang Multirate Loss Model with Batched Poisson Arrivals

11.1.1 The Service System

In the elastic Erlang multirate loss model with batched Poisson arrivals (BP‐E‐EMLM), we consider a link of capacity b.u. that accommodates elastic calls of different service‐classes. Calls of each service‐class have the following attributes: (i) they arrive in the link according to a batched Poisson process with rate and batch size distribution ...