- Tytuł:
- On truncations for weakly ergodic inhomogeneous birth and death processes
- Autorzy:
-
Zeifman, A.
Satin, Y.
Korolev, V.
Shorgin, S. - Powiązania:
- https://bibliotekanauki.pl/articles/330983.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
birth process
death process
weak ergodicity
truncation
forward Kolmogorov system
nonstationary Markovian queueing model
proces narodzin
proces śmierci
obcinanie
system Kołmogorowa
model Markowa - Opis:
- We investigate a class of exponentially weakly ergodic inhomogeneous birth and death processes. We consider special transformations of the reduced intensity matrix of the process and obtain uniform (in time) error bounds of truncations. Our approach also guarantees that we can find limiting characteristics approximately with an arbitrarily fixed error. As an example, we obtain the respective bounds of the truncation error for an Mt/Mt/S queue for any number of servers S. Arbitrary intensity functions instead of periodic ones can be considered in the same manner.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 503-518
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł