A. I. Zreikat,  G. Bolch

Abstract

We introduce in this paper a Non-homogeneous multi-server system with Markovian arrival and service processes. First we consider the case with only one queue and different servers and the job assigns to one server. Then we extend this model to more than one queue in which the jobs are assigned to different queues. We assume that our system has different servers with different service times Non-Homogeneous Multi-Server System and a job is assigned to a server using the strategies: FFS (fastest free server) or random selection. In our problem, we consider a general queuing system (M/M/n) with K is a finite number of jobs in the whole system. In which we have different queues with different jobs and the jobs are served by different number of servers. The performance modeling of this type of system is done by using the programming language MOSEL (MOdeling Specification and Evaluation Language), which contains several constructs to describe the system, the results (performance parameters) and the graphical representation.

ESS2000 Conference, Hamburg, Germany, pp. 570-574, September, 28-30, 2000.