Stationary Random Processes Associated with Point Processes

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Stationary Random Processes Associated with Point Processes

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Stationary Random Processes Associated with Point Processes

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Stationary Random Processes Associated with Point Processes

1 Preliminaries. - 1 Introduction. - 2 Some notations and conventions. - 3 Ergodic theory discrete parameter. - 4 Ergodic theory continuous parameter. - 5 Stationary random elements. - 6 Loynes' lemma. - 7 Queues. - Notes. - 2 Discrete time r. p. @ p. p. - 1 Basic concepts. - 2 Construction of stationary processes. - 3 First and second type relations. - 4 Applications in queueing theory. - Notes. - 3 Continuous time r. p. @ m. p. p. - 1 Random process associated with marked point process. - 2 Construction of stationary r. p. @ m. p. p. 's. - 3 Ergodic theorems. - 4 Relations of the first and second type. - 5 A rate conservative principle approach. - Notes. - 4 Miscellaneous examples. - 1 Inequalities and identities. - 2 Kopoci?ska's model. - 3 Equivalence of distributions of embedded chains in the queue size process. - Notes. - 5 Application to single server queues. - 1 Introductory remarks. - 2 Single server queue with periodic input. - 3 Fagging queueing systems. - 4 $$\overrightarrow G /\overrightarrow G /1$$ queue with work-conserving normal discipline. - 5 Takács relation in G/G/1; FIFO. queues. - 6 Takács relation in GI/GI/1; FIFO queues. - Notes. - References. Language: English
  • Brand: Unbranded
  • Kategori: Uddannelse
  • Format: Paperback
  • Forlag / Pladeselskab: Springer
  • Udgivelsesdato: 1981/05/21
  • Kunstner: Tomasz Rolski
  • Sprog: English
  • Antal sider: 139
  • Fruugo ID: 337364784-740993184
  • ISBN: 9780387905754

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