Department of Statistics, Payame Noor University, Tehran, Iran
Abstract
In this article, the queuing model M/M/1 is considered, in which the inter-arrival of customers follows an exponential distribution with the parameter λ, and the service times follow an exponential distribution with the parameter µ, which are independent of the inter-arrival times. It is also assumed that the system is active until T. Then, under this stopping time (T), Bayesian, E-Bayesian, and hierarchical Bayesian estimations of the traffic intensity parameter of this queuing model are obtained under the general entropy loss function, considering the gamma and Erlang prior distributions for parameters λ and µ, respectively. Using numerical analysis and based on an index calculated according to reliability probability and cost function, Bayesian, E-Bayesian, and hierarchical Bayesian estimations are compared.
Yaghoobzadeh Shahrastani, S. & Jafari, A. (2023). Optimizing the Estimation of the Traffic Intensity Parameter
of Queuing Model M/M/1 under Bayeian estimation methods. Andishe_ye Amari, 28(1), 75-83.
MLA
Yaghoobzadeh Shahrastani, S., & Jafari, A. "Optimizing the Estimation of the Traffic Intensity Parameter
of Queuing Model M/M/1 under Bayeian estimation methods", Andishe_ye Amari, 28, 1, 2023, 75-83.
HARVARD
Yaghoobzadeh Shahrastani S., Jafari A. (2023). 'Optimizing the Estimation of the Traffic Intensity Parameter
of Queuing Model M/M/1 under Bayeian estimation methods', Andishe_ye Amari, 28(1), pp. 75-83.
CHICAGO
S. Yaghoobzadeh Shahrastani & A. Jafari, "Optimizing the Estimation of the Traffic Intensity Parameter
of Queuing Model M/M/1 under Bayeian estimation methods," Andishe_ye Amari, 28 1 (2023): 75-83,
VANCOUVER
Yaghoobzadeh Shahrastani S., Jafari A. Optimizing the Estimation of the Traffic Intensity Parameter
of Queuing Model M/M/1 under Bayeian estimation methods. Andishe_ye Amari. 2023;28(1):75-83 (In Persian).
