Whittle-networks with signals
| Autor: | Thu-Ha Dao-Thi, Minh-Anh Tran, Jean-Michel Fourneau |
|---|---|
| Přispěvatelé: | Données et algorithmes pour une ville intelligente et durable - DAVID (DAVID), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ), Laboratoire d'Algorithmique Complexité et Logique (LACL), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Service (business)
Class (set theory) Computer Networks and Communications business.industry Computer science Real-time computing 020206 networking & telecommunications 02 engineering and technology Extension (predicate logic) 01 natural sciences 010104 statistics & probability Hardware and Architecture Modeling and Simulation Product (mathematics) 0202 electrical engineering electronic engineering information engineering [INFO]Computer Science [cs] 0101 mathematics business Queue Software ComputingMilieux_MISCELLANEOUS Computer network |
| Zdroj: | Performance Evaluation Performance Evaluation, Elsevier, 2017, 109, pp.8-22. ⟨10.1016/j.peva.2016.12.001⟩ |
| ISSN: | 0166-5316 |
| DOI: | 10.1016/j.peva.2016.12.001⟩ |
| Popis: | We present an extension of Whittle networks with customers and signals as defined by Gelenbe in his seminal paper on negative customers. Customers are queued and served according to the balance rules defined for Whittle networks while signals are not queued but interact with the customers at their arrival. We consider various types of signals: they can delete customers, flush out a queue or change the class of a customer. We prove that all these networks have a product form steady-state distribution as soon as the signals obey a balance rule consistent with the service balance defined by Whittle. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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