Creator:

Zeifman, Alexander ; Satin, Yacov ; Korolev, Victor ; Shorgin, Sergey

Contributor:

Abaev, Pavel - ed. ; Razumchik, Rostislav - ed. ; Kołodziej, Joanna - ed.

Title:

On truncations for weakly ergodic inhomogeneous birth and death processes

Subtitle:

.

Group publication title:

AMCS, Volume 24 (2014)

Subject and Keywords:

birth and death process ; weak ergodicity ; truncation ; forward Kolmogorov system ; nonstationary Markovian queueing models

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2014

Resource Type:

artykuł

DOI:

10.2478/amcs-2014-0037

Pages:

503-518

Source:

AMCS, volume 24, number 3 (2014) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego