Multi-Channel Bi-Level Queueing System with Heterogeneous Servers | ||
| The Egyptian Statistical Journal | ||
| Article 6, Volume 38, Issue 2, December 1994, Pages 208-221 PDF (8.01 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1994.314826 | ||
| Authors | ||
| E. M. Shoukry1; M. K. Gharraph2; N. A. Hassan2 | ||
| 1Institute of Statistical Studies & Research, Cairo University,Egypt | ||
| 2Faculty of Science, Zagazig University, Egypt. | ||
| Abstract | ||
| Multi-channel queue with Poison arrivals, Erlangian service time distributions in which the server breaks down according me to a Poisson process ( as mentioned in [2] ) with a limited waiting room, The system consists of servers of varying efficiency. This paper proposes easily -computed steady-state probabilities of such a system. A recursive solution technique was used for computing steady-state probabilities of such a system. We have obtained also some performance measures of the system, such as the expected waiting time per customer, the expected number of customers who arrive to a full system, the expected number of customers will also be calculated. Finally, an example will be introduced. | ||
| Keywords | ||
| Heterogeneous Servers; Multi-Channel Queueing System; Performance Measures; Poison Arrivals; Steady-State Probabilities | ||
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