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TheM/M/∞ queue in a random environment

✍ Scribed by G. Falin


Book ID
106508824
Publisher
Springer US
Year
2008
Tongue
English
Weight
285 KB
Volume
58
Category
Article
ISSN
0257-0130

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Stochastic decomposition of the queue in
✍ Bernardo D’Auria 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 342 KB

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 environm