On the Application of the Open Jackson Queuing Network in Hospital

DOI

10.2991/assehr.k.201010.017How to use a DOI?

Keywords

queuing network, open Jackson, Moore-Penrose pseudo-inverse

Abstract

The open Jackson queuing network is the open queuing network consisting of several service stations. On the open Jackson queueing networks, patients arrive from outside the network to get service and then leave the network. The open Jackson theory is used to determine the queue network model and the performance measures of each service station in the network. The data collecting technique used in this research is by interview and observation. The interview obtained a diagram of a queue network at the hospital, and the observation results consist of the number of arrival and departure data at each service station. The open Jackson queue network model is built based on a diagram of the service stages in hospitals. Furthermore, the average arrival rate and the average departure rate are substituted into the linear equation system of the formed queue network model. The linear equation system is solved using Moore-Penrose pseudo-inverse, to obtain the value of the transition probability between stations. The next steps are investigating steady-state conditions and counting performance measures. The analysis result at all service stations shows that the queueing network is a steady-state condition, such that queue performance measures can be calculated. The performance measures are the average of patients and the waiting time for patients in the queueing network.

Copyright

© 2020, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Arum Helmi Manggala Putri
AU  - Irwan Endrayanto
PY  - 2020
DA  - 2020/10/11
TI  - On the Application of the Open Jackson Queuing Network in Hospital
BT  - Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019)
PB  - Atlantis Press
SP  - 108
EP  - 115
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.201010.017
DO  - 10.2991/assehr.k.201010.017
ID  - Putri2020
ER  -