Stochastic comparisons applied to G-networks with catastrophes

H. Castel-Taleb; J. M. Fourneau; N. Pekergin

doi:10.1007/978-90-481-9794-1_11

Stochastic comparisons applied to G-networks with catastrophes

H. Castel-Taleb
, J. M. Fourneau
, N. Pekergin

CNRS SAMOVAR UMR 5157
CNRS and PRiSM
Université de PARIS XII

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

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 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.

langue originale	Anglais
titre	Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences
Editeur	Springer Verlag
Pages	57-60
Nombre de pages	4
ISBN (imprimé)	9789048197934
Les DOIs	https://doi.org/10.1007/978-90-481-9794-1_11
état	Publié - 1 janv. 2010
Modification externe	Oui

Série de publications

Nom	Lecture Notes in Electrical Engineering
Volume	62 LNEE
ISSN (imprimé)	1876-1100
ISSN (Electronique)	1876-1119

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10.1007/978-90-481-9794-1_11

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Castel-Taleb, H., Fourneau, J. M., & Pekergin, N. (2010). Stochastic comparisons applied to G-networks with catastrophes. Dans Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences (p. 57-60). (Lecture Notes in Electrical Engineering; Vol 62 LNEE). Springer Verlag. https://doi.org/10.1007/978-90-481-9794-1_11

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Stochastic comparisons applied to G-networks with catastrophes. / Castel-Taleb, H.; Fourneau, J. M.; Pekergin, N.
Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences. Springer Verlag, 2010. p. 57-60 (Lecture Notes in Electrical Engineering; Vol 62 LNEE).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

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N2 - 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 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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BT - Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences

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Stochastic comparisons applied to G-networks with catastrophes

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