عنوان مقاله [English]
Armero and Bayarri get Bayesian estimation from traffic intensity in M/M/1 model in 1994. Sharma and Kumar get Bayesian and classical estimations of different parameters of M/M/1 model under loss function in 1999. Furthermore, use of classical methods to estimate unknown parameters of previous distribution is suggested by Mises for the first time in 1943. In this paper, Bayesian estimation and empirical Bayes of traffic intensity parameter are assessed in the M/M/1 queuing model. Estimation of the parameters of this model is presented by methods of Bayes, likelihood, and moment. The characteristics and applications of both estimators are discussed in numerical results. The quadratic theory has many uses in communication theory, computer design, etc. The statistical deduction in quadratic process and quadrant process estimation, such as rate of entry, service rates and traffic jams, has attracted researchers in the past few years. Suppose that the M / M / 1 queue system with an average log rate λ, as well as an average service rate of 1 / μ
Armero, C., & Bayarri, M. J. (1994). Bayesian prediction inM/M/1 queues. Queueing systems, 15(1-4), 401-417.
Bhat, U. N. (2015). An introduction to queueing theory: modeling and analysis in applications. Birkhäuser.
Hankin, R. K. (2015). Numerical evaluation of the Gauss hypergeometric function with the hypergeo package. The R journal, 7, 81-88.
Mises, R. V. (1942). On the correct use of Bayes' formula. The annals of mathematical statistics, 13(2), 156-165.
Mukherjee, S. P., & Chowdhury, S. (2005). Bayesian estimation of traffic intensity. IAPQR transactions, 30(2), 89.
Ren, H., & Wang, G. (2012). Bayes estimation of traffic intensity in M/M/1 queue under a precautionary loss function. Procedia engineering, 29, 3646-3650.
Sharma, K. K., & Kumar, V. (1999). Inferences on M/M1:(∞; FIFO) Queue System. Opsearch, 36(1), 26-34.
Varian, H. R. (1975). A Bayesian approach to real estate assessment. Studies in bayesian econometric and statistics in honor of Leonard J. Savage, 195-208.