Methods of Signal Processing

Invariance of Stationary Ergodic Distributions of Homogeneous Markov Processes under Random Interrupts

M. Ya. Postan


Abstract: For a Markov chain controlled by a semi-Markov process and for a piecewise-linear process describing the operation of a multiserver system with a bounded queue in a random environment, the stationary ergodic distributions are shown to be independent of random interruption of transitions from one state to another. The results make it possible to ignore, under certain conditions, the effect of interrupts on data transmission in calculating the performance measures of communication devices and networks.

UDC: 621.391.74:519.872

Received: 19.11.1986

 English version: Problems of Information Transmission, 1989, 25:1, 35–41

Bibliographic databases:

• 
•