This paper presents a new, accurate multi-service model of a queueing system with state-dependent distribution of resources for each class of calls. The analysis of the considered queueing system was carried out at both the microstate and macrostate levels. The proposed model makes it possible to evaluate averaged parameters of queues for individual classes of calls that are offered to the system. In addition, the paper proposes a new algorithm for a determination of the occupancy distribution in the queueing system at the microstate level. The results of the calculations are compared with the results of a digital simulation for multi-service queueing systems with state-independent distribution of resources.
Slawomir HANCZEWSKI
Poznan University of Technology
Maciej STASIAK
Poznan University of Technology
Joanna WEISSENBERG
Poznan University of Technology
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Slawomir HANCZEWSKI, Maciej STASIAK, Joanna WEISSENBERG, "A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls" in IEICE TRANSACTIONS on Communications,
vol. E97-B, no. 8, pp. 1592-1605, August 2014, doi: 10.1587/transcom.E97.B.1592.
Abstract: This paper presents a new, accurate multi-service model of a queueing system with state-dependent distribution of resources for each class of calls. The analysis of the considered queueing system was carried out at both the microstate and macrostate levels. The proposed model makes it possible to evaluate averaged parameters of queues for individual classes of calls that are offered to the system. In addition, the paper proposes a new algorithm for a determination of the occupancy distribution in the queueing system at the microstate level. The results of the calculations are compared with the results of a digital simulation for multi-service queueing systems with state-independent distribution of resources.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E97.B.1592/_p
Copy
@ARTICLE{e97-b_8_1592,
author={Slawomir HANCZEWSKI, Maciej STASIAK, Joanna WEISSENBERG, },
journal={IEICE TRANSACTIONS on Communications},
title={A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls},
year={2014},
volume={E97-B},
number={8},
pages={1592-1605},
abstract={This paper presents a new, accurate multi-service model of a queueing system with state-dependent distribution of resources for each class of calls. The analysis of the considered queueing system was carried out at both the microstate and macrostate levels. The proposed model makes it possible to evaluate averaged parameters of queues for individual classes of calls that are offered to the system. In addition, the paper proposes a new algorithm for a determination of the occupancy distribution in the queueing system at the microstate level. The results of the calculations are compared with the results of a digital simulation for multi-service queueing systems with state-independent distribution of resources.},
keywords={},
doi={10.1587/transcom.E97.B.1592},
ISSN={1745-1345},
month={August},}
Copy
TY - JOUR
TI - A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls
T2 - IEICE TRANSACTIONS on Communications
SP - 1592
EP - 1605
AU - Slawomir HANCZEWSKI
AU - Maciej STASIAK
AU - Joanna WEISSENBERG
PY - 2014
DO - 10.1587/transcom.E97.B.1592
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E97-B
IS - 8
JA - IEICE TRANSACTIONS on Communications
Y1 - August 2014
AB - This paper presents a new, accurate multi-service model of a queueing system with state-dependent distribution of resources for each class of calls. The analysis of the considered queueing system was carried out at both the microstate and macrostate levels. The proposed model makes it possible to evaluate averaged parameters of queues for individual classes of calls that are offered to the system. In addition, the paper proposes a new algorithm for a determination of the occupancy distribution in the queueing system at the microstate level. The results of the calculations are compared with the results of a digital simulation for multi-service queueing systems with state-independent distribution of resources.
ER -