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Heavy-Traffic Limits for Loss Proportions in Single-Server Queues

✍ Scribed by Ward Whitt


Book ID
111605613
Publisher
Springer US
Year
2004
Tongue
English
Weight
216 KB
Volume
46
Category
Article
ISSN
0257-0130

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Heavy-traffic asymptotics for the single
✍ Bert Zwart πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 192 KB

We consider the GI/GI/1 queue with customers served in random order, and derive the heavy-traffic limit of the waitingtime distribution. Our proof is probabilistic, requires no finite-variance assumptions, and makes the intuition provided by Kingman (Math. Oper. Res. 7 (1982) 262) rigorous.