Modelling and Analysis of Degradation and Maintenance

  • D. N. P. MurthyEmail author
  • Nat Jack
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


Models play an important role in solving decision problems. They are used to (i) analyse the effect of changes to decision variables on system performance (for example, the effect of different PM actions on system failures) and (ii) decide on the optimal values of decision variables to achieve some specified objectives (for example, optimum PM to minimise total maintenance costs).


Hazard Function Intensity Function Maintenance Action Repair Time Maintenance Policy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Ascher H, Feingold H (1984) Repairable system reliability. Marcel Dekker, New YorkGoogle Scholar
  2. Baik J, Murthy DNP, Jack N (2004) Two-dimensional failure modelling and minimal repair. Naval Res Logistics 51:345–362CrossRefzbMATHMathSciNetGoogle Scholar
  3. Baik J, Murthy DNP, Jack N (2006) Erratum: two-dimensional failure modelling with minimal repair. Naval Res Logistics 53:115–116CrossRefMathSciNetGoogle Scholar
  4. Barlow RE, Hunter L (1961) Optimum preventive maintenance policies. Oper Res 8:90–100CrossRefMathSciNetGoogle Scholar
  5. Blischke WR, Murthy DNP (1994) Warranty cost analysis. Marcel Dekker, New YorkGoogle Scholar
  6. Blischke WR, Karim MR, Murthy DNP (2011) Warranty data collection and analysis. Springer, LondonCrossRefzbMATHGoogle Scholar
  7. Doyen L, Gaudoin O (2004) Classes of imperfect repair models based on reduction of failure intensity or virtual age. Reliab Eng Syst Saf 84:45–56CrossRefGoogle Scholar
  8. Hunter JJ (1974a) Renewal theory in two dimensions: basic results. Adv Appl Probab 6:376–391CrossRefzbMATHGoogle Scholar
  9. Hunter JJ (1974b) Renewal theory in two dimensions: asymptotic results. Adv Appl Probab 6:376–391CrossRefzbMATHGoogle Scholar
  10. Hunter JJ (1996) Mathematical techniques for warranty analysis. In: Blischke WR, Murthy DNP (eds) Product warranty hand book. Marcel Dekker, New YorkGoogle Scholar
  11. Hutchinson TP, Lai CD (1990) Continuous bivariate distributions, emphasizing applications. Rumsby Scientific Publishing, AdelaideGoogle Scholar
  12. Johnson NL, Kotz S (1972) Distributions in statistics: continuous multivariate distributions. Wiley, New YorkzbMATHGoogle Scholar
  13. Kijima M (1989) Some results for repairable systems with general repair. J Appl Probab 26:89–102CrossRefzbMATHMathSciNetGoogle Scholar
  14. Kline MB (1984) Suitability of the lognormal distribution for corrective maintenance repair times. Reliab Eng 9:65–80CrossRefGoogle Scholar
  15. Kumar D, Klefsjo B (1994) Proportional hazards model: a review. Reliab Eng Syst Saf 29:177–188CrossRefGoogle Scholar
  16. Mahon BH, Bailey RJM (1975) A proposed improved replacement policy for army vehicles. Oper Res Q 26:477–494CrossRefGoogle Scholar
  17. Murthy DNP, Page NW, Rodin Y (1990) Mathematical modelling. Pergamon Press, Oxford, EnglandGoogle Scholar
  18. Murthy DNP, Xie M, Jiang R (2003) Weibull models. Wiley, New YorkCrossRefGoogle Scholar
  19. Nakagawa T (2005) Maintenance theory of reliability. Springer, LondonGoogle Scholar
  20. Nakagawa T, Kowada M (1983) Analysis of a system with minimal repair and its application to a replacement policy. Eur J Oper Res 12:253–257CrossRefGoogle Scholar
  21. Nelson W (1990) Accelerated testing. Wiley, New YorkCrossRefGoogle Scholar
  22. Pham H, Wang H (1996) Imperfect maintenance. Eur J Oper Res 94:425–438CrossRefzbMATHGoogle Scholar
  23. Rigdon SE, Basu AP (2000) Statistical methods for the reliability of repairable systems. Wiley, New YorkzbMATHGoogle Scholar
  24. Williams JH, Davies A, Drake PR (1994) Condition based maintenance and machine diagnostics. Chapman and Hall, LondonGoogle Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Mechanical and Mining EngineeringUniversity of QueenslandBrisbaneAustralia
  2. 2.Dundee Business SchoolUniversity of Abertay DundeeDundeeUK

Personalised recommendations