Article ID: | iaor19962277 |
Country: | United Kingdom |
Volume: | 31 |
Issue: | 11 |
Start Page Number: | 55 |
End Page Number: | 60 |
Publication Date: | Jun 1996 |
Journal: | Computers & Mathematics with Applications |
Authors: | Almsi B. |
Keywords: | markov processes, control |
This paper deals with nonhomogeneous queueing models to decribe the performance of finite multiterminal systems subject to random breakdowns. The most important contribution of this paper is to give a closed formula for response time calculation. The paper uses the model described earlier by Almási and Sztrik in [1]. The authors used there a closed formula-without proof-to calculate the response time of the terminals. Here the paper gives a short proof of it. All random variables involved in this work are independent and exponentially distributed. Although the stochastic process describing the system’s behaviour is a Markov chain, the number of states becomes very large, and the response time calculation is not trivial in the heterogeneous model.