Renewal Type Queues with a Complex  Arrival Process

Elena V. Koba; Olga N. Dyshlyuk

doi:10.1615/JAutomatInfScien.v42.i8.60

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

Editor associados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

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Renewal Type Queues with a Complex Arrival Process

Volume 42, Edição 8, 2010, pp. 48-54

DOI: 10.1615/JAutomatInfScien.v42.i8.60

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Elena V. Koba
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

Olga N. Dyshlyuk
National Aviation University, Kiev, Ukraine

RESUMO

A queueing system with a complex arrival process is studied, the arrivals being non-cormectcd pulses. Concept of τ-renewal pulses and τ-equivalence are introduced. A problem of the reduction of the system with complex arrival process to that with simple one is solved. A relation of the distribution of pulses duration of complex and simple customers is established.

Palavras-chave: queuing system, complex arrival process, disconnected pulses, tau-renewal pulses, tau-equivalence of flows, distribution functions of multiple and single requests, equivalent change of systems

CITADO POR

Koba O. V., Kucheryava O. M., Complex Impulses and Their Shear Characteristics, Cybernetics and Systems Analysis, 52, 4, 2016. Crossref

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