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Tightness of Stationary Waiting times in Heavy Traffic for Gi/gi/1 Queues with Thick Tails
| Content Provider | Semantic Scholar |
|---|---|
| Author | Czustolowski, M. Szczotka, W. |
| Copyright Year | 2007 |
| Abstract | Recently, a Heavy Traffic Invariance Principle was proposed by Szczotka and Woyczyliski to characterize the heavy traf- fic limiting distribution of normalized stationary waiting times of G/G/l queues in terms of an appropriate convergence to a LBvy pro- cess. It has two important assumptions. The first of them deals with a convergence to a Lbvy process of appropriate processes which is well investigated in the literature. The second one states that the sequence of appropriate normalized stationary waiting times is tight. In the present paper we characterize the tightness condition for the case of GI/GI/l queues in terms of the first condition. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.uni.wroc.pl/~pms/files/27.1/Abstract/27.1.6.abs.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
