OPTIMISATION OF SERVICE CAPACITY BASED ON QUEUEING THEORY

被引：1

作者：

Dorda, Michal ^{[1
]}

Teichmann, Dusan ^{[1
]}

Graf, Vojtech ^{[1
]}

机构：

[1] VSB Tech Univ Ostrava, Fac Mech Engn, Inst Transport, 17 Listopadu 15, Ostrava 70833, Czech Republic

来源：

MM SCIENCE JOURNAL | 2019年 / 2019卷

关键词：

Service capacity; optimisation; queueing theory; simulation; coloured Petri nets; Matlab; CPN Tools;

D O I：

10.17973/MMSJ.2019_10_201889

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Queueing theory is a mathematical tool which can be applied for capacity planning and optimisation of production, manufacturing or logistics systems. One of the possible applications of queueing theory is service capacity optimisation. Let us consider that an engineering company operates m homogeneous machines. We assume that the machines are successively operating and down and times between failures and times to repair are exponentially distributed. The broken-down machines are repaired by n repairmen; we assume that n < m. In the article a mathematical model of the problem is presented; the model can be used for optimisation of the number of the repairmen with respect to costs of the system. Results obtained by the mathematical model are compared with simulation results; a simulation model of the problem is based on coloured Petri nets.

引用

页码：2975 / 2981

页数：7

共 50 条

[1] Hospital capacity management based on the queueing theory
Bittencourt, Otavio
Verter, Vedat
Yalovsky, Morty
[J]. INTERNATIONAL JOURNAL OF PRODUCTIVITY AND PERFORMANCE MANAGEMENT, 2018, 67 (02) : 224 - 238
[2] OPTIMAL SERVICE CAPACITY IN A MULTIPLE-SERVER QUEUEING SYSTEM: A GAME THEORY APPROACH
Ching, Wai-Ki
Choi, Sin-Man
Huang, Min
[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2010, 6 (01) : 73 - 102
[3] Numerical analysis and optimisation of class based queueing
Panchenko, A
Buchholz, P
[J]. MODELLING AND SIMULATION 2002, 2002, : 543 - 547
[4] OPTIMIZATION OF SERVICE CAPACITY THROUGH QUEUEING MODEL.
Mehta, S.K.
Kadam, S.S.
[J]. Journal of the Institution of Engineers (India): Mechanical Engineering Division, 1981, 62 : 19 - 22
[5] Optimisation of medication reconciliation using queueing theory: a computer experiment
Kruik-Kolloffel, W. J.
Moltman, G. A. W.
Wu, M. D.
Braaksma, A.
Karapinar, F.
Boucherie, R. J.
[J]. INTERNATIONAL JOURNAL OF CLINICAL PHARMACY, 2024, 46 (04) : 881 - 888
[6] A fault detection mechanism for service-oriented architecture based on queueing theory
Chen, Hao-Peng
Zhang, Cheng
[J]. 2007 CIT: 7TH IEEE INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION TECHNOLOGY, PROCEEDINGS, 2007, : 1071 - 1076
[7] Analysis of subway station capacity with the use of queueing theory
Xu, Xin-yue
Liu, Jun
Li, Hai-ying
Hu, Jian-Qiang
[J]. TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2014, 38 : 28 - 43
[8] Towards optimisation of the number of threads in the integration platform engines using simulation models based on queueing theory
Haugg, Igor G.
Frantz, Rafael Z.
Roos-Frantz, Fabricia
Sawicki, Sandro
Zucolotto, Benjamim
[J]. REVISTA BRASILEIRA DE COMPUTACAO APLICADA, 2019, 11 (01): : 48 - 58
[9] A Service Discovery System Analyzed with a Queueing Theory Model
Jin, Beihong
Weng, Haibin
Wen, Yunfeng
Zhang, Faen
[J]. 2009 IEEE 33RD INTERNATIONAL COMPUTER SOFTWARE AND APPLICATIONS CONFERENCE, VOLS 1 AND 2, 2009, : 190 - 198
[10] A service discovery system analyzed with a queueing theory model
Institute of Software, Chinese Academy of Sciences, Beijing, China
不详
[J]. Proc Int Comput Software Appl Conf, 1600, (190-198):

← 1 2 3 4 5 →