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:: Volume 27, Issue 2 (3-2023) ::
Andishe 2023, 27(2): 33-39 Back to browse issues page
Determining the Optimal Model in the Queuing System ‎$‎E_r‎/M/2$
Shahram Yaghoobzadeh *
Payame Noor University
Abstract:   (173 Views)

In this article, the optimal model is determined for the family of models ‎$‎‎‎{E_r/M/1, rin N}‎$‎ with interarrival times with Erlang distribution‎‏ ‎and service times with exponential distribution‎. The method of choosing the optimal model is that first, a cost function is introduced, and then a new index is introduced according to the cost function and the ‎stationary‎ probability of the system called ‎‏‎‎$‎‎‎SER‎$‎.‎‏ A model with a larger ‎$‎SER‎$‎ index is ‎optimal.‎ Numerical analysis is also used to describe the method of determining optimal ‎model.

Keywords: ‎Cost function‎, Probability of system ‎stationary‎, Erlang distribution‎.
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Type of Study: Research | Subject: Special
Received: 2023/01/27 | Accepted: 2023/05/19 | Published: 2023/05/19
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Yaghoobzadeh S. Determining the Optimal Model in the Queuing System ‎$‎E_r‎/M/2$. Andishe 2023; 27 (2) :33-39
URL: http://andisheyeamari.irstat.ir/article-1-907-en.html

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Volume 27, Issue 2 (3-2023) Back to browse issues page
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