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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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Contributor : Hind Castel Connect in order to contact the contributor
Submitted on : Saturday, December 11, 2010 - 7:11:28 PM
Last modification on : Wednesday, October 20, 2021 - 12:24:14 AM


  • HAL Id : hal-00545738, version 1


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



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