### Abstract

If a system is composed of only one element, it is possible to evaluate the stability of the system with the Stress-Strength model. However, it is impossible to evaluate the stability of a complex system in which huge amounts of element are linked to each other. To estimate the stability of a complex system, we need to consider the whole structure of the system including interaction between the elements. In this paper, we propose a hierarchized Cellular Automata (HCA) for rational and quantitative system management. In the HCA method, the system is expressed as a lamination structure, which is composed of some hierarchies. Each hierarchy is composed of some elements; each element has a characteristic status value, inputs and outputs. With the HCA method, we can understand the stability of the whole system in terms of probability, by considering local interactions between the elements. As a numerical example, the HCA method is applied to a model of a human organization's conscious changing process. The stability of this model is calculated by numerical simulation, and a probability distribution of the stability of the system is obtained. In conclusion, it is found that the stability of the whole system can be evaluated using the probability distribution.

Original language | English |
---|---|

Pages (from-to) | 3422-3430 |

Number of pages | 9 |

Journal | Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

Volume | 69 |

Issue number | 12 |

Publication status | Published - Dec 1 2003 |

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### All Science Journal Classification (ASJC) codes

- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*,

*69*(12), 3422-3430.

**Quantitative System Management with Hierarchized Cellular Automata (1st Report, Fundamental Theory).** / Ohtsuka, Yuichi; Yoshimura, Tatsuhiko; Noguchi, Hiroshi.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 69, no. 12, pp. 3422-3430.

}

TY - JOUR

T1 - Quantitative System Management with Hierarchized Cellular Automata (1st Report, Fundamental Theory)

AU - Ohtsuka, Yuichi

AU - Yoshimura, Tatsuhiko

AU - Noguchi, Hiroshi

PY - 2003/12/1

Y1 - 2003/12/1

N2 - If a system is composed of only one element, it is possible to evaluate the stability of the system with the Stress-Strength model. However, it is impossible to evaluate the stability of a complex system in which huge amounts of element are linked to each other. To estimate the stability of a complex system, we need to consider the whole structure of the system including interaction between the elements. In this paper, we propose a hierarchized Cellular Automata (HCA) for rational and quantitative system management. In the HCA method, the system is expressed as a lamination structure, which is composed of some hierarchies. Each hierarchy is composed of some elements; each element has a characteristic status value, inputs and outputs. With the HCA method, we can understand the stability of the whole system in terms of probability, by considering local interactions between the elements. As a numerical example, the HCA method is applied to a model of a human organization's conscious changing process. The stability of this model is calculated by numerical simulation, and a probability distribution of the stability of the system is obtained. In conclusion, it is found that the stability of the whole system can be evaluated using the probability distribution.

AB - If a system is composed of only one element, it is possible to evaluate the stability of the system with the Stress-Strength model. However, it is impossible to evaluate the stability of a complex system in which huge amounts of element are linked to each other. To estimate the stability of a complex system, we need to consider the whole structure of the system including interaction between the elements. In this paper, we propose a hierarchized Cellular Automata (HCA) for rational and quantitative system management. In the HCA method, the system is expressed as a lamination structure, which is composed of some hierarchies. Each hierarchy is composed of some elements; each element has a characteristic status value, inputs and outputs. With the HCA method, we can understand the stability of the whole system in terms of probability, by considering local interactions between the elements. As a numerical example, the HCA method is applied to a model of a human organization's conscious changing process. The stability of this model is calculated by numerical simulation, and a probability distribution of the stability of the system is obtained. In conclusion, it is found that the stability of the whole system can be evaluated using the probability distribution.

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UR - http://www.scopus.com/inward/citedby.url?scp=1442265667&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:1442265667

VL - 69

SP - 3422

EP - 3430

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 12

ER -