Stochastic decomposition of the queue in a random environment

✍ Scribed by Bernardo D’Auria

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 342 KB
• Volume: 35
• Category: Article
• ISSN: 0167-6377
• DOI: 10.1016/j.orl.2007.02.007

✦ Synopsis

We prove a stochastic decomposition formula for the number of customers in an M/G/∞ system with service speeds depending on an independent random environment. In addition, we present a new technique to analyze this kind of queues and apply it to solve some examples of M/M/∞ queues in random environment.