# About the cumulative idle time in multiphase queues

Saulius Minkevičius; Stasys Steišūnas

RAIRO - Operations Research (2010)

- Volume: 39, Issue: 2, page 75-85
- ISSN: 0399-0559

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topMinkevičius, Saulius, and Steišūnas, Stasys. "About the cumulative idle time in multiphase queues." RAIRO - Operations Research 39.2 (2010): 75-85. <http://eudml.org/doc/105326>.

@article{Minkevičius2010,

abstract = {
The paper is designated to the analysis of queueing systems, arising in the network theory and communications theory (called multiphase queueing systems, tandem queues or series of queueing systems). Also we note that multiphase queueing systems can be useful for modelling practical multi-stage service systems in a variety of disciplines, especially on manufacturing (assembly lines), computer networking (packet switch structures), and in telecommunications (e.g. cellular mobile networks), etc. This research presents heavy traffic limit theorems for the cumulative idle time in multiphase queues. In this work, functional limit theorems are proved for the values of important probability characteristics of the queueing system (a cumulative idle time of a customer).
},

author = {Minkevičius, Saulius, Steišūnas, Stasys},

journal = {RAIRO - Operations Research},

keywords = {Queueing systems; multiphase queues; functional limit theorems; heavy traffic; a cumulative idle time of a customer.; queueing systems; a cumulative idle time of a customer},

language = {eng},

month = {3},

number = {2},

pages = {75-85},

publisher = {EDP Sciences},

title = {About the cumulative idle time in multiphase queues},

url = {http://eudml.org/doc/105326},

volume = {39},

year = {2010},

}

TY - JOUR

AU - Minkevičius, Saulius

AU - Steišūnas, Stasys

TI - About the cumulative idle time in multiphase queues

JO - RAIRO - Operations Research

DA - 2010/3//

PB - EDP Sciences

VL - 39

IS - 2

SP - 75

EP - 85

AB -
The paper is designated to the analysis of queueing systems, arising in the network theory and communications theory (called multiphase queueing systems, tandem queues or series of queueing systems). Also we note that multiphase queueing systems can be useful for modelling practical multi-stage service systems in a variety of disciplines, especially on manufacturing (assembly lines), computer networking (packet switch structures), and in telecommunications (e.g. cellular mobile networks), etc. This research presents heavy traffic limit theorems for the cumulative idle time in multiphase queues. In this work, functional limit theorems are proved for the values of important probability characteristics of the queueing system (a cumulative idle time of a customer).

LA - eng

KW - Queueing systems; multiphase queues; functional limit theorems; heavy traffic; a cumulative idle time of a customer.; queueing systems; a cumulative idle time of a customer

UR - http://eudml.org/doc/105326

ER -

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