Queueing Systems with Random Volume Customers and their Performance Characteristics

In the paper, we consider non-classical queueing systems with non-homogeneous customers. The non-homogeneity we treat in the following sense: in systems under consideration, we characterize each customer by random capacity (volume) that can have an influence on his service time. We analyze a stochas...

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Main Authors: Oleg Tikhonenko, Marcin Ziółkowski
Format: Article
Language:English
Published: University of Zagreb, Faculty of organization and informatics 2021-01-01
Series:Journal of Information and Organizational Sciences
Subjects:
Online Access:https://hrcak.srce.hr/file/383216
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author Oleg Tikhonenko
Marcin Ziółkowski
author_facet Oleg Tikhonenko
Marcin Ziółkowski
author_sort Oleg Tikhonenko
collection DOAJ
description In the paper, we consider non-classical queueing systems with non-homogeneous customers. The non-homogeneity we treat in the following sense: in systems under consideration, we characterize each customer by random capacity (volume) that can have an influence on his service time. We analyze a stochastic process having the sense of the total volume of all customers present in the system at given time instant. Such analysis for different queueing systems with unlimited or limited total volume can be used in designing of nodes of computer and communication networks while determining their buffer space capacity. We discuss basic problems of the theory of these systems and their performance characteristics. We also present some examples and results for systems with random volume customers.
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spelling doaj.art-9a2eb4f0db1c447184dc985bdea9f4452024-04-15T17:14:02ZengUniversity of Zagreb, Faculty of organization and informaticsJournal of Information and Organizational Sciences1846-33121846-94182021-01-01451213810.31341/jios.45.1.2Queueing Systems with Random Volume Customers and their Performance CharacteristicsOleg Tikhonenko0Marcin Ziółkowski1Institute of Computer Science Cardinal Stefan Wyszyński University in Warsaw, Warsaw, PolandInstitute of Information Technology Warsaw University of Life Sciences – SGGW, Warsaw, PolandIn the paper, we consider non-classical queueing systems with non-homogeneous customers. The non-homogeneity we treat in the following sense: in systems under consideration, we characterize each customer by random capacity (volume) that can have an influence on his service time. We analyze a stochastic process having the sense of the total volume of all customers present in the system at given time instant. Such analysis for different queueing systems with unlimited or limited total volume can be used in designing of nodes of computer and communication networks while determining their buffer space capacity. We discuss basic problems of the theory of these systems and their performance characteristics. We also present some examples and results for systems with random volume customers.https://hrcak.srce.hr/file/383216customer’s volumebuffer space capacitytotal volumeloss probabilityvolume unit loss probability
spellingShingle Oleg Tikhonenko
Marcin Ziółkowski
Queueing Systems with Random Volume Customers and their Performance Characteristics
Journal of Information and Organizational Sciences
customer’s volume
buffer space capacity
total volume
loss probability
volume unit loss probability
title Queueing Systems with Random Volume Customers and their Performance Characteristics
title_full Queueing Systems with Random Volume Customers and their Performance Characteristics
title_fullStr Queueing Systems with Random Volume Customers and their Performance Characteristics
title_full_unstemmed Queueing Systems with Random Volume Customers and their Performance Characteristics
title_short Queueing Systems with Random Volume Customers and their Performance Characteristics
title_sort queueing systems with random volume customers and their performance characteristics
topic customer’s volume
buffer space capacity
total volume
loss probability
volume unit loss probability
url https://hrcak.srce.hr/file/383216
work_keys_str_mv AT olegtikhonenko queueingsystemswithrandomvolumecustomersandtheirperformancecharacteristics
AT marcinziołkowski queueingsystemswithrandomvolumecustomersandtheirperformancecharacteristics