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Modeling product-form state-dependent systems with BPP traffic

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Title: Modeling product-form state-dependent systems with BPP traffic
Authors: Głąbowski, Mariusz mglabows@et.put.poznan.pl, Kaliszan, Adam1, Stasiak, Maciej1
Source: Performance Evaluation. Mar2010, Vol. 67 Issue 3, p174-197. 24p.
Subjects: Probability theory, Computer simulation, Modules (Algebra), Distribution (Probability theory), Mathematical convolutions, Algorithms, Recursive functions
Abstract: Abstract: This article proposes models of product-form state-dependent class of systems. Two methods for determining the occupancy distribution and the blocking and loss probability in communication systems with state-dependent arrival processes and state-dependent admission processes are presented. The first proposed method, the recursive BPP-KR method, is based on a modification of the generalized Kaufman–Roberts formula. In the second method, the hybrid BPP-Hyb method, a convolution algorithm is used in the computational process. Particular attention is given to the multiservice traffic streams offered to the systems, which can be generated both by infinite number of traffic sources and by a finite number of sources. [Copyright &y& Elsevier]
Copyright of Performance Evaluation is the property of Elsevier B.V. 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 47453104
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Modeling product-form state-dependent systems with BPP traffic
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  Data: <searchLink fieldCode="AR" term="%22Głąbowski%2C+Mariusz%22">Głąbowski, Mariusz</searchLink><i> mglabows@et.put.poznan.pl</i><br /><searchLink fieldCode="AR" term="%22Kaliszan%2C+Adam%22">Kaliszan, Adam</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Stasiak%2C+Maciej%22">Stasiak, Maciej</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Performance+Evaluation%22">Performance Evaluation</searchLink>. Mar2010, Vol. 67 Issue 3, p174-197. 24p.
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  Data: Abstract: This article proposes models of product-form state-dependent class of systems. Two methods for determining the occupancy distribution and the blocking and loss probability in communication systems with state-dependent arrival processes and state-dependent admission processes are presented. The first proposed method, the recursive BPP-KR method, is based on a modification of the generalized Kaufman–Roberts formula. In the second method, the hybrid BPP-Hyb method, a convolution algorithm is used in the computational process. Particular attention is given to the multiservice traffic streams offered to the systems, which can be generated both by infinite number of traffic sources and by a finite number of sources. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Performance Evaluation is the property of Elsevier B.V. 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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      – Type: doi
        Value: 10.1016/j.peva.2009.10.002
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      – Code: eng
        Text: English
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        PageCount: 24
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        Type: general
      – SubjectFull: Computer simulation
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      – SubjectFull: Modules (Algebra)
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      – SubjectFull: Distribution (Probability theory)
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      – SubjectFull: Mathematical convolutions
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      – SubjectFull: Algorithms
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      – SubjectFull: Recursive functions
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      – TitleFull: Modeling product-form state-dependent systems with BPP traffic
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              Text: Mar2010
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              Y: 2010
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