6. Aymen I. Zreikat, Gunter Bolch: “Performance Evaluation of Queuing Networks with Finite Capacity and non-exponential Distribution using MOSEL-2”, Published in AMSE (Association for Modelling and Simulation in the Enterprises), Vol. 12, No. 4, 2007.

Abstract

In this paper, we present a performance evaluation of queuing networks with finite capacity queues and non-exponential distribution using the MOdeling and Evaluation Language (MOSEL-2). MOSEL-2 is a new version of the existing MOSEL. MOSEL-2 has the ability to find performance and reliability measures of systems with non-exponential distributions, while the old version of MOSEL which has the ability to handle exponential distributions only. Most of the research in the literature have studied queuing networks with finite capacity using only exponential distribution for both the inter-arrival and service times. In this paper, queuing networks with finite capacity and non-exponential distribution are solved numerically using MOSEL-2. Three types of tandem queuing networks with finite capacity are introduced: blocking after service (BAS), blocking before service (BBS) and repetitive blocking (RR). Different performance measures are presented as a result of solving the above models, such as: utilization, blocking probability and the average number of jobs in the system. Furthermore, it is shown in this paper that it is possible by MOSEL-2 to approximate non-exponential distributions by using phase-type distributions.