Theory of Probability & Its Applications, 2012
ABSTRACT We establish an ergodicity condition for a G|G|r queueing system with balking. The input... more ABSTRACT We establish an ergodicity condition for a G|G|r queueing system with balking. The input is considered to be regenerative. The proof is based on constructing a majorizing system in which the probabilities of joining the system take two values.
ABSTRACT We study queueing systems with regenerative flow and impatient customers. Based on the r... more ABSTRACT We study queueing systems with regenerative flow and impatient customers. Based on the results obtained for systems without restrictions and on the construction of majorizing systems, we prove limit theorems on convergence of stationary distributions of processes of virtual waiting time and on the number of claims in the system to the exponential law. Examples are given.
Theory of Probability & Its Applications, 2012
ABSTRACT We establish an ergodicity condition for a G|G|r queueing system with balking. The input... more ABSTRACT We establish an ergodicity condition for a G|G|r queueing system with balking. The input is considered to be regenerative. The proof is based on constructing a majorizing system in which the probabilities of joining the system take two values.
ABSTRACT We study queueing systems with regenerative flow and impatient customers. Based on the r... more ABSTRACT We study queueing systems with regenerative flow and impatient customers. Based on the results obtained for systems without restrictions and on the construction of majorizing systems, we prove limit theorems on convergence of stationary distributions of processes of virtual waiting time and on the number of claims in the system to the exponential law. Examples are given.
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Papers by Timophey Belorusov