On the Estimates of Average Characteristics of Some Birth and Death Processes
- Authors: Satin Y.A.1, Zeifman A.I.1,2,3
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Affiliations:
- Vologda State Pedagogical University
- Institute of Informatics Problems of the RAS
- Institute of Socio-Economic Development of Territories of the RAS
- Issue: Vol 220, No 6 (2017)
- Pages: 734-741
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238932
- DOI: https://doi.org/10.1007/s10958-016-3217-z
- ID: 238932
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Abstract
Inhomogeneous birth and death processes with intensities close to periodic are studied. Limit mean and double mean of such processes are analyzed, their estimates are obtained, and the method of their approximate calculation is developed. Also some examples from queuing systems theory are considered.
About the authors
Ya. A. Satin
Vologda State Pedagogical University
Author for correspondence.
Email: yacovi@mail.ru
Russian Federation, Vologda
A. I. Zeifman
Vologda State Pedagogical University; Institute of Informatics Problems of the RAS; Institute of Socio-Economic Development of Territories of the RAS
Email: yacovi@mail.ru
Russian Federation, Vologda; Moscow; Vologda