ON ONE APPROACH TO OBTAINING THE BOUNDARIES OF PERTURBATION OF HOMOGENEOUS MARKOV PROCESSES

Homogeneous Markov chains with continuous time are considered. A new approach is proposed that makes it possible to obtain accurate estimates of stability for such chains with relation to perturbations of infinitesimal characteristics. The application of the results to stationary queuing systems of several classes, as well as to some non-stationary systems, is considered.

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Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034504925030072
Primary Topic
Advanced Data Processing Techniques
Type
article
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article

ON ONE APPROACH TO OBTAINING THE BOUNDARIES OF PERTURBATION OF HOMOGENEOUS MARKOV PROCESSES

Alexander Zeifman
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Advanced Data Processing Techniques
article

ON ONE APPROACH TO OBTAINING THE BOUNDARIES OF PERTURBATION OF HOMOGENEOUS MARKOV PROCESSES

Alexander Zeifman
article en

Abstract

Homogeneous Markov chains with continuous time are considered. A new approach is proposed that makes it possible to obtain accurate estimates of stability for such chains with relation to perturbations of infinitesimal characteristics. The application of the results to stationary queuing systems of several classes, as well as to some non-stationary systems, is considered.

Доклады Российской академии наук Математика информатика процессы управления / Doklady MathematicsVol. 523(1)
Openalex Percentile: Top 68%
Advanced Data Processing Techniques
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ON ONE APPROACH TO OBTAINING THE BOUNDARIES OF PERTURBATION OF HOMOGENEOUS MARKOV PROCESSES — Alexander Zeifman · Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics (2025) | TGRS Research Map | TGRS