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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 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.

Original language	English
Title of host publication	Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences
Publisher	Springer Verlag
Pages	57-60
Number of pages	4
ISBN (Print)	9789048197934
DOIs	https://doi.org/10.1007/978-90-481-9794-1_11
Publication status	Published - 1 Jan 2010
Externally published	Yes

Publication series

Name	Lecture Notes in Electrical Engineering
Volume	62 LNEE
ISSN (Print)	1876-1100
ISSN (Electronic)	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. In Computer and Information Sciences - Proceedings of the 25th International Symposium on Computer and Information Sciences (pp. 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Castel-Taleb, H.

AU - Fourneau, J. M.

AU - Pekergin, N.

PY - 2010/1/1

Y1 - 2010/1/1

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.

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

M3 - Conference contribution

AN - SCOPUS:78651573852

SN - 9789048197934

T3 - Lecture Notes in Electrical Engineering

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EP - 60

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

PB - Springer Verlag

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Stochastic comparisons applied to G-networks with catastrophes

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