1. A Bayesian inference to estimate change point for traffic intensity in M/M/1 queueing model
- Author
-
Sarat Kumar Acharya and Saroja Kumar Singh
- Subjects
0209 industrial biotechnology ,Queueing theory ,021103 operations research ,Bayesian probability ,0211 other engineering and technologies ,Estimator ,02 engineering and technology ,Management Science and Operations Research ,Bayesian inference ,Computer Science Applications ,Management Information Systems ,Traffic intensity ,020901 industrial engineering & automation ,Distribution (mathematics) ,Prior probability ,Applied mathematics ,Point (geometry) ,Information Systems ,Mathematics - Abstract
The paper is concerned with the problem of change point for the inter arrival time distribution for the M/M/1 queueing system by considering the number of customers present in the system. Bayesian estimators of traffic intensities, before the change $$(\rho _1)$$ and after the change $$(\rho _2)$$ , and the change point m are derived using the informative as well as non-informative priors under different loss functions. Finally a numerical example along with a practical example is given to illustrate the results.
- Published
- 2021