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Volume 3 Issue 1
Jan.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(1): 90-95
Baoliang Liu, Lirong Cui, Shubin Si and Yanqing Wen, "Performance Measures for Systems in Multiple Environments," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 1, pp. 90-95, 2016.
Citation: Baoliang Liu, Lirong Cui, Shubin Si and Yanqing Wen, "Performance Measures for Systems in Multiple Environments," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 1, pp. 90-95, 2016.
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Performance Measures for Systems in Multiple Environments

  • 1. College of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, China;

  • 2. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;

  • 3. School of Mechatronics, Northwestern Polytechnical University, Xi'an 710072, China

Funds:

This work was supported by National Natural Science Foundation of China (71371031).

    Abstract
  • In this paper, the system which operates in multiple environments is studied. The environment process is governed by a Markov process, and the deterioration process is governed by another Markov process given the system in a certain environment. In terms of the above two processes, a new Markov process is constructed to represent the evolution of the system. In terms of Ion-channel modeling theory, Markov process theory and matrix partition method, some reliability indexes for the system are obtained, i.e., system reliability, environment reliability, system multiple-interval reliability, system availability, environment availability, system multiple-point availability, etc. Finally, a numerical example is given to illustrate the results obtained in the paper.

     

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