ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • MacLaurin series  (3)
  • General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.  (1)
  • Gi/G/1 queue  (1)
Collection
Keywords
Publisher
Years
  • 1
    Electronic Resource
    Electronic Resource
    Analyticity of single-server queues in light traffic (1995)
    Springer
    Queueing systems 19 (1995), S. 63-80 
    Details
    ISSN: 1572-9443
    Keywords: TheGI/G/1 queue ; light traffic derivatives ; MacLaurin series ; analyticity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Recently, several methods have been proposed to approximate performance measures of queueing systems based on their light traffic derivatives, e.g., the MacLaurin expansion, the Padé approximation, and interpolation with heavy traffic limits. The key condition required in all these approximations is that the performance measures be analytic when the arrival rates equal to zero. In this paper, we study theGI/G/1 queue. We show that if the c.d.f. of the interarrival time can be expressed as a MacLaurin series over [0, ∞), then the mean steady-state system time of a job is indeed analytic when the arrival rate to the queue equals to zero. This condition is satisfied by phase-type distributions but not c.d.f.'s without support [0, ∞), such as uniform and shifted exponential distributions. In fact, we show through two examples that the analyticity does not hold for most commonly used distribution functions which do not satisfy this condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01148940
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Higher order approximations for tandem queueing networks (1996)
    Springer
    Queueing systems 22 (1996), S. 249-276 
    Details
    ISSN: 1572-9443
    Keywords: Approximations ; Gi/G/1 queue ; MacLaurin series ; tandem queueing networks
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper a higher order approximation for single server queues and tandem queueing networks is proposed and studied. Different from the most popular two-moment based approximations in the literature, the higher order approximation uses the higher moments of the interarrival and service distributions in evaluating the performance measures for queueing networks. It is built upon the MacLaurin series analysis, a method that is recently developed to analyze single-node queues, along with the idea of decomposition using higher orders of the moments matched to a distribution. The approximation is computationally flexible in that it can use as many moments of the interarrival and service distributions as desired and produce the corresponding moments for the waiting and interdeparture times. Therefore it can also be used to study several interesting issues that arise in the study of queueing network approximations, such as the effects of higher moments and correlations. Numerical results for single server queues and tandem queueing networks show that this approximation is better than the two-moment based approximations in most cases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01149174
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    An interpolation approximation for the GI/G/1 queue based on multipoint Padé approximation (1997)
    Springer
    Queueing systems 26 (1997), S. 269-284 
    Details
    ISSN: 1572-9443
    Keywords: GI/G/1 queue ; heavy traffic limits ; MacLaurin series ; multipoint Padé approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The performance evaluation of many complex manufacturing, communication and computer systems has been made possible by modeling them as queueing systems. Many approximations used in queueing theory have been drawn from the behavior of queues in light and heavy traffic conditions. In this paper, we propose a new approximation technique, which combines the light and heavy traffic characteristics. This interpolation approximation is based on the theory of multipoint Padé approximation which is applied at two points: light and heavy traffic. We show how this can be applied for estimating the waiting time moments of the GI/G/1 queue. The light traffic derivatives of any order can be evaluated using the MacLaurin series analysis procedure. The heavy traffic limits of the GI/G/1 queue are well known in the literature. Our technique generalizes the previously developed interpolation approximations and can be used to approximate any order of the waiting time moments. Through numerical examples, we show that the moments of the steady state waiting time can be estimated with extremely high accuracy under all ranges of traffic intensities using low orders of the approximant. We also present a framework for the development of simple analytical approximation formulas.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019137309293
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    facet.materialart.
    Unknown
    Experimental Demonstration of Higher Precision Weak-Value-Based Metrology Using Power Recycling (2016)
    American Physical Society (APS)
    Details
    Publication Date: 2016-11-30
    Description: Author(s): Yi-Tao Wang, Jian-Shun Tang, Gang Hu, Jian Wang, Shang Yu, Zong-Quan Zhou, Ze-Di Cheng, Jin-Shi Xu, Sen-Zhi Fang, Qing-Lin Wu, Chuan-Feng Li, and Guang-Can Guo The weak-value-based metrology is very promising and has attracted a lot of attention in recent years because of its remarkable ability in signal amplification. However, it is suggested that the upper limit of the precision of this metrology cannot exceed that of classical metrology because of the l… [Phys. Rev. Lett. 117, 230801] Published Tue Nov 29, 2016
    Keywords: General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
    Published by American Physical Society (APS)
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    PAPER CURRENT
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...