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.
Type de document :
Communication dans un congrès
Springer. ISCIS2010, Sep 2010, London, United Kingdom. 62, www.springerlink.com, 2010
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https://hal-imt.archives-ouvertes.fr/hal-00545738
Contributeur : Hind Castel <>
Soumis le : samedi 11 décembre 2010 - 19:11:28
Dernière modification le : jeudi 3 mai 2018 - 16:58:02

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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. Springer. ISCIS2010, Sep 2010, London, United Kingdom. 62, www.springerlink.com, 2010. 〈hal-00545738〉

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