Stability Analysis of an N-Unit Series Repairable System with a Repairman Doing Other Work

DOI

10.2991/eame-15.2015.176How to use a DOI?

Keywords

series repairable system; C0-semigroup; dynamic solution; asymptotic stability

Abstract

We investigate an N-unit series repairable system with a repairman doing other work. By analysing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we show that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution.

Copyright

© 2015, 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  - A. Haji
AU  - B. Yunus
AU  - H. Huxur
PY  - 2015/07
DA  - 2015/07
TI  - Stability Analysis of an N-Unit Series Repairable System with a Repairman Doing Other Work
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 640
EP  - 643
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.176
DO  - 10.2991/eame-15.2015.176
ID  - Haji2015/07
ER  -