Maryam Shahgholian - Electrical Engineering, University of Science and Technology (IUST). Tehran, Iran. Suit ۸, No ۴, Salmak Alley, Valiasr Street, Tehran, Iran.

The goal behind this paper is the analytical modeling of multiprocessor systems with the connecting network. We have a multiprocessor system composed of N processor(s) and each processor consist of K pipeline S stage(s).At first we get the analytical model for the single processor system composed of K pipeline which has S stages. Then we develop the model and carry out the modeling of the multiprocessor system using the gained results and then we specify how many processors (with how many pipelines and stages) we require for reaching a specific operational power. Supposing that each memory unit can be connected to only one processor at each moment and the other processors which have to establish connection with that memory unit must wait till the end of this connection; each memory unit is modeled to a service-rendering system and by using the Queue Theory we gain the parameters of multiprocessor system.

Multiprocessor systems, Throughput, Queuing Theory, Analytical modeling