EQUIVALENCE CRITERION FOR THE GLOBAL AND DETAILED BALANCE-EQUATIONS OF MARKOV-CHAINS

Authors
NAZAROV AA YUZHAKOV AA
Citation
Aa. Nazarov et Aa. Yuzhakov, EQUIVALENCE CRITERION FOR THE GLOBAL AND DETAILED BALANCE-EQUATIONS OF MARKOV-CHAINS, Automation and remote control, 56(12), 1995, pp. 1718-1724
Citations number
5
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Application, Chemistry & Engineering","Instument & Instrumentation","Robotics & Automatic Control
Journal title
Automation and remote control → ACNP
ISSN journal
00051179
Volume
56
Issue
12
Year of publication
1995
Part
1
Pages
1718 - 1724
Database
ISI
SICI code
0005-1179(1995)56:12<1718:ECFTGA>2.0.ZU;2-B
Abstract
Conditions are determined for the transition probabilities of a Markov chain so that the equations of global and detailed balance are equiva lent. A mathematical model for an adaptive terminal measurement system is formulated as a queuing system satisfying these conditions. The mu ltidimensional stationary probability distribution of the states of a system is determined and the probability for a call to be lost is comp uted.