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Stochastic comparisons applied to G-Networks with catastrophes

Abstract : We study the transient distribution of some G-networks of queues with customers and signals. After its service completion a customer moves to another queue and may become a signal. We consider catastrophes where the signal deletes all customers in a queue. Both networks with negative customers and with catastrophes belong to well known of Gelenbe's networks with product form steady-state distribution. As the transient distribution is impossible to obtain, we derive stochastic upper and lower bounds on the marginal distribution for each queue following Massey's approach.
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https://hal-imt.archives-ouvertes.fr/hal-00545738
Contributor : Hind Castel <>
Submitted on : Saturday, December 11, 2010 - 7:11:28 PM
Last modification on : Friday, January 10, 2020 - 3:42:21 PM

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  • HAL Id : hal-00545738, version 1

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Hind Castel-Taleb, Jean-Michel Fourneau, Nihal Pekergin. Stochastic comparisons applied to G-Networks with catastrophes. ISCIS2010, Sep 2010, London, United Kingdom. www.springerlink.com. ⟨hal-00545738⟩

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