This article is cited in 3 papers

Short Communications

Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server

S. Zh. Aibatov

Lomonosov Moscow State University

Abstract: We consider a one-channel queue with an unreliable server. Assuming that recovery time and service time have heavy tails, we find the asymptotic behavior of the large deviations probabilities for a process of virtual waiting time in a stationary regime.

Received: 28.07.2015

DOI: 10.4213/tvp5061

 English version: Theory of Probability and its Applications, 2017, 61:2, 321–326

Bibliographic databases:

• 
• 
• 
•