On the performance of the European LMDS system

Michel Marot; Monique Becker; Paul Vincent Marboua

doi:10.1007/978-3-540-24693-0_101

On the performance of the European LMDS system

Michel Marot, Monique Becker, Paul Vincent Marboua

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

Abstract

This paper investigates the performance of the European LMDS system. The collision rate and the Laplace transform of the access delay to the shared medium, are analytically computed and used to derive numerically the mean of the response time (the access delay to the shared medium). At last, the performance of the LMDS system when the contention mode is used for dynamic reservation request is analytically studied. Among several results, we prove that the use of the max parameter in the LMDS collision recovery mechanism prevents the system from unstability, whatever the collision rate is. It differs from results derived in other papers for binary exponential backoff algorithms without max parameter. It appears also that stability has to be carefully defined. Several definitions of stability may be chosen and the derived conclusions are then different.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Nikolas Mitrou, Kimon Kontovasilis, George N. Rouskas, Ilias lliadis, Lazaros Merakos
Publisher	Springer Verlag
Pages	1228-1239
Number of pages	12
ISBN (Print)	9783540246930
DOIs	https://doi.org/10.1007/978-3-540-24693-0_101
Publication status	Published - 1 Jan 2004
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3042
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Keywords

Analytical study
Collision rate
Contention access mode
Exponential backoff
Fixed point

Access to Document

10.1007/978-3-540-24693-0_101

Cite this

Marot, M., Becker, M., & Marboua, P. V. (2004). On the performance of the European LMDS system. In N. Mitrou, K. Kontovasilis, G. N. Rouskas, I. lliadis, & L. Merakos (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 1228-1239). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3042). Springer Verlag. https://doi.org/10.1007/978-3-540-24693-0_101

Marot, Michel ; Becker, Monique ; Marboua, Paul Vincent. / On the performance of the European LMDS system. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Nikolas Mitrou ; Kimon Kontovasilis ; George N. Rouskas ; Ilias lliadis ; Lazaros Merakos. Springer Verlag, 2004. pp. 1228-1239 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Marot, M, Becker, M & Marboua, PV 2004, On the performance of the European LMDS system. in N Mitrou, K Kontovasilis, GN Rouskas, I lliadis & L Merakos (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3042, Springer Verlag, pp. 1228-1239. https://doi.org/10.1007/978-3-540-24693-0_101

On the performance of the European LMDS system. / Marot, Michel; Becker, Monique; Marboua, Paul Vincent.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Nikolas Mitrou; Kimon Kontovasilis; George N. Rouskas; Ilias lliadis; Lazaros Merakos. Springer Verlag, 2004. p. 1228-1239 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3042).

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

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AU - Becker, Monique

AU - Marboua, Paul Vincent

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N2 - This paper investigates the performance of the European LMDS system. The collision rate and the Laplace transform of the access delay to the shared medium, are analytically computed and used to derive numerically the mean of the response time (the access delay to the shared medium). At last, the performance of the LMDS system when the contention mode is used for dynamic reservation request is analytically studied. Among several results, we prove that the use of the max parameter in the LMDS collision recovery mechanism prevents the system from unstability, whatever the collision rate is. It differs from results derived in other papers for binary exponential backoff algorithms without max parameter. It appears also that stability has to be carefully defined. Several definitions of stability may be chosen and the derived conclusions are then different.

AB - This paper investigates the performance of the European LMDS system. The collision rate and the Laplace transform of the access delay to the shared medium, are analytically computed and used to derive numerically the mean of the response time (the access delay to the shared medium). At last, the performance of the LMDS system when the contention mode is used for dynamic reservation request is analytically studied. Among several results, we prove that the use of the max parameter in the LMDS collision recovery mechanism prevents the system from unstability, whatever the collision rate is. It differs from results derived in other papers for binary exponential backoff algorithms without max parameter. It appears also that stability has to be carefully defined. Several definitions of stability may be chosen and the derived conclusions are then different.

KW - Analytical study

KW - Collision rate

KW - Contention access mode

KW - Exponential backoff

KW - Fixed point

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Marot M, Becker M, Marboua PV. On the performance of the European LMDS system. In Mitrou N, Kontovasilis K, Rouskas GN, lliadis I, Merakos L, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2004. p. 1228-1239. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-24693-0_101

On the performance of the European LMDS system

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