Whittle networks with resets
| Autor: | Thu-Ha Dao-Thi, Minh-Anh Tran, Jean-Michel Fourneau |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Distribution (number theory)
Computer science business.industry SIGNAL (programming language) 020206 networking & telecommunications 02 engineering and technology Extension (predicate logic) Single class 01 natural sciences 010104 statistics & probability Product (mathematics) 0202 electrical engineering electronic engineering information engineering 0101 mathematics business Reset (computing) Random variable Queue Computer network |
| Zdroj: | VALUETOOLS |
| DOI: | 10.1145/3150928.3150940 |
| Popis: | We present an extension of Whittle networks with multiple classes of customers and some signals as defined by Gelenbe. Customers are queued and served according to the balance rules defined for Whittle networks. Signals are not queued and interact with the customers present in the queue. We consider the reset signal previously introduced for single class networks. A reset signal entering a non empty queue deletes a customer but if the queue is empty, it fills the queue with a random number of customers. The distribution of this random variable is closely related to the steady-state distribution of the queue. We prove that these networks have a product form steady-state distribution. |
| Databáze: | OpenAIRE |
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