'Time-free' preventive maintenance of systems with structures described by signatures

A new approach to optimal maintenance of multicomponent systems networks is suggested. It is applied to systems subject to external shock processes. Signatures are used for description of systems structures and for dealing with the corresponding optimal maintenance problems. The number of shocks experienced by a system defines a discrete parameter for minimization of the long-run costs per unit of time and is viewed as an alternative scale. The optimal preventive maintenance is performed either after the shock with the obtained optimal number or the corrective maintenance replacement of the whole failed system occurs, whichever comes first. A numerical example is considered and the comparison with the age-based preventive maintenance is performed. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  F. Samaniego.  On Closure of the IFR Class Under Formation of Coherent Systems , 1985, IEEE Transactions on Reliability.

[2]  Francisco J. Samaniego,et al.  Dynamic signatures and their use in comparing the reliability of new and used systems , 2009 .

[3]  Francisco J. Samaniego,et al.  System Signatures and Their Applications in Engineering Reliability , 2007 .

[4]  Toshio Nakagawa.  Advanced Reliability Models and Maintenance Policies , 2008 .

[5]  Robin Nicolai,et al.  Maintenance Models for Systems Subject to Measurable Deterioration , 2003 .

[6]  Maxim Finkelstein.  Alternative time scales for systems with random usage , 2004, IEEE Transactions on Reliability.

[7]  Ilya Gertsbakh,et al.  Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo , 2009 .

[8]  Hoang Pham,et al.  Reliability and Optimal Maintenance , 2006 .

[9]  K B Kordonsky,et al.  Multiple Time Scales and the Lifetime Coefficient of Variation: Engineering Applications , 1997, Lifetime data analysis.

[10]  Maxim Finkelstein,et al.  Stochastic Modeling for Reliability , 2013 .

[11]  Maxim Finkelstein,et al.  Failure Rate Modelling for Reliability and Risk , 2008 .

[12]  R. Barlow,et al.  Optimum Preventive Maintenance Policies , 1960 .

[13]  Ilya B. Gertsbakh,et al.  Models of Preventive Maintenance , 1977 .

[14]  Inmaculada Torres Castro,et al.  A condition-based maintenance for a system subject to multiple degradation processes and external shocks , 2015, Int. J. Syst. Sci..

[15]  I. Gertsbakh.  Reliability Theory with Applications to Preventive Maintenance , 2000 .