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Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.

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Title: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
Authors: Chen, Yan1 (AUTHOR), Whitt, Ward1 (AUTHOR) ww2040@columbia.edu
Source: Queueing Systems. Feb2021, Vol. 97 Issue 1/2, p101-124. 24p.
Subjects: Chebyshev systems, Distribution (Probability theory), Classical conditioning, Extreme value theory, Systems theory
Abstract: This paper studies tight upper bounds for the mean and higher moments of the steady-state waiting time in the GI/GI/1 queue given the first two moments of the interarrival-time and service-time distributions. We apply the theory of Tchebycheff systems to obtain sufficient conditions for classical two-point distributions to yield the extreme values. These distributions are determined by having one mass at 0 or at the upper limit of support. [ABSTRACT FROM AUTHOR]
Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
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  Data: <searchLink fieldCode="AR" term="%22Chen%2C+Yan%22">Chen, Yan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Whitt%2C+Ward%22">Whitt, Ward</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ww2040@columbia.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Queueing+Systems%22">Queueing Systems</searchLink>. Feb2021, Vol. 97 Issue 1/2, p101-124. 24p.
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  Data: <searchLink fieldCode="DE" term="%22Chebyshev+systems%22">Chebyshev systems</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Classical+conditioning%22">Classical conditioning</searchLink><br /><searchLink fieldCode="DE" term="%22Extreme+value+theory%22">Extreme value theory</searchLink><br /><searchLink fieldCode="DE" term="%22Systems+theory%22">Systems theory</searchLink>
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  Data: This paper studies tight upper bounds for the mean and higher moments of the steady-state waiting time in the GI/GI/1 queue given the first two moments of the interarrival-time and service-time distributions. We apply the theory of Tchebycheff systems to obtain sufficient conditions for classical two-point distributions to yield the extreme values. These distributions are determined by having one mass at 0 or at the upper limit of support. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11134-020-09675-7
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        Text: English
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      – SubjectFull: Chebyshev systems
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Classical conditioning
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      – SubjectFull: Extreme value theory
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      – SubjectFull: Systems theory
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      – TitleFull: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
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              Text: Feb2021
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              Y: 2021
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