TY - JOUR
T1 - A new stochastic model for systems under general repairs
AU - Guo, Huairui R.
AU - Liao, Haitao
AU - Zhao, Wenbiao
AU - Mettas, Adamantios
N1 - Funding Information:
Manuscript received June 2005; revised April 2006. This work was supported in part by the National Science Foundation under Grant DMI-0619984. Associate Editor: E. A. Pohl. H. R. Guo and A. Mettas are with ReliaSoft Corporation, Tucson, AZ 85710 USA (e-mail: [email protected]; Adamantios.Mettas@Reliasoft. com). H. Liao is with the Industrial and Manufacturing Engineering Department, Wichita State University, Wichita, KS 67260 USA (e-mail: haitao.liao@wichita. edu). W. Zhao is with American Express. Digital Object Identifier 10.1109/TR.2006.890895
PY - 2007/3
Y1 - 2007/3
N2 - Numerous stochastic models for repairable systems have been developed by assuming different time trends, and repair effects. In this paper, a new general repair model based on the repair history is presented. Unlike the existing models, the closed-form solutions of the reliability metrics can be derived analytically by solving a set of differential equations. Consequently, the confidence bounds of these metrics can be easily estimated. The proposed model, as well as the estimation approach, overcomes the drawbacks of the existing models. The practical use of the proposed model is demonstrated by a much-discussed set of data. Compared to the existing models, the new model is convenient, and provides accurate estimation results.
AB - Numerous stochastic models for repairable systems have been developed by assuming different time trends, and repair effects. In this paper, a new general repair model based on the repair history is presented. Unlike the existing models, the closed-form solutions of the reliability metrics can be derived analytically by solving a set of differential equations. Consequently, the confidence bounds of these metrics can be easily estimated. The proposed model, as well as the estimation approach, overcomes the drawbacks of the existing models. The practical use of the proposed model is demonstrated by a much-discussed set of data. Compared to the existing models, the new model is convenient, and provides accurate estimation results.
KW - Closed-form solution
KW - Confidence bounds
KW - General repair
KW - Maximum likelihood estimation
KW - Proportional failure intensity
KW - Repairable system
KW - Virtual age
UR - http://www.scopus.com/inward/record.url?scp=34047143720&partnerID=8YFLogxK
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U2 - 10.1109/TR.2006.890895
DO - 10.1109/TR.2006.890895
M3 - Article
AN - SCOPUS:34047143720
SN - 0018-9529
VL - 56
SP - 40
EP - 49
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
IS - 1
ER -