Model Description

In this example, we will model a system with three objects:

MMPP source
this kind of source can generate packets with different Poisson rates. The Poisson rate depends on the state of the source.
Leaky Bucket
this is an access controller to the network. In this model, an event generates credits that will be consumed when a packet generated by the MMPP source is transmitted. These credits are generated periodically (this event has an exponential distribution), and are stored until a maximum of M. When a packet arrives and there are no credits available, the packet is stored in a finite buffer.
Server Queue
this object represents a queue with a server that has an exponential service time distribution.
In this model, the MMPP source generates a packet that is sent to the Leaky Bucket and eventually delivered to the Server Queue. If there is a credit upon arrival, the Leaky Bucket routes the packet to the queue. Otherwise, the arriving packet is stored if there is space available in the buffer. Figure [*] shows the model.

Figure: The MMPP Model
\includegraphics[width=4in]{figuras/MMPP.eps}

Guilherme Dutra Gonzaga Jaime 2010-10-27