Conditions for the Light-Traffic Insensitivity to Loss Probability in a GI/G/m/0 Queueing System |
| |
| Authors: | I N Kovalenko J B Atkinson |
| |
| Affiliation: | (1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine;(2) STORM Research Group, the University of North London, England |
| |
| Abstract: | A loss queueing system GI/G/m/0 is considered. Let a(x) be a p.d.f. of interarrival intervals. Assume that this function behaves like c  x-1 for small x. Further let B(x) be a d.f. of service time; (1/ ) be the mean service time. Conditions are derived for the light-traffic insensitivity of the loss probability to the form of B(x) as (/  ) 0. In particular, the condition = 1 is necessary. Estimates for the loss probability are obtained. |
| |
| Keywords: | queuing systems loss probability analysis of systems in light traffic insensitivity |
| 本文献已被 SpringerLink 等数据库收录！ |
