๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An invariance property of sojourn times in cyclic networks

โœ Scribed by Christian Malchin; Hans Daduna

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
221 KB
Volume
33
Category
Article
ISSN
0167-6377

No coin nor oath required. For personal study only.

โœฆ Synopsis

We investigate a customer's roundtrip behaviour in a cycle of exponential single server nodes. The conditional joint sojourn time distribution, given the cycle time, is independent of the number of circulating customers. We compare the consequences of this invariance property with previous results on passage time behaviour in case of bottlenecks.

๐Ÿ“œ SIMILAR VOLUMES

Sensitivity formulas of performance in t
Sensitivity formulas of performance in two-server cyclic queueing networks with phase-type distributed service times
โœ Baoqun Yin; Yaping Zhou; Hongsheng Xi; Demin Sun ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 177 KB

With the approach of the inยฎnitesimal generator perturbation, sensitivities of the steady-state performance are studied in two-server cyclic queueing networks with phase-type distributed service times. Sensitivity formulas expressed by the potentials of the networks are given for parameterdependent

Invariance properties in the root sensit
Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
โœ Elias Jarlebring; Wim Michiels ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 340 KB

If iฯ‰ โˆˆ iR is an eigenvalue of a time-delay system for the delay ฯ„ 0 then iฯ‰ is also an eigenvalue for the delays ฯ„ k := ฯ„ 0 + k2ฯ€ /ฯ‰, for any k โˆˆ Z. We investigate the sensitivity, periodicity and invariance properties of the root iฯ‰ for the case that iฯ‰ is a double eigenvalue for some ฯ„ k . It tur

An evaluation of dynamic mutuality measu
An evaluation of dynamic mutuality measurements and methods in cyclic time series
โœ Xiaohua Xia; Guitian Huang; Na Duan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 509 KB

a b s t r a c t Several measurements and techniques have been developed to detect dynamic mutuality and synchronicity of time series in econometrics. This study aims to compare the performances of five methods, i.e., linear regression, dynamic correlation, Markov switching models, concordance index