Asymptotics of overflow probabilities in Jackson networks

✍ Scribed by Jiyeon Lee

• Book ID: 103877604
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 222 KB
• Volume: 32
• Category: Article
• ISSN: 0167-6377
• DOI: 10.1016/j.orl.2003.07.002

✦ Synopsis

We consider the probability that the total population of a Jackson network exceeds a given large value. By using the relation to the stationary distribution, we derive upper and lower bounds on this probability. These bounds imply a stronger logarithmic limit when multiple nodes have the same maximal load.