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Journal of Applied Probability Journal of Applied Probability

Article contents

A note on the ageing character of the run length of Markov-type quality-control schemes

Published online by Cambridge University Press:  14 July 2016

Manuel Cabral Morais  and
António Pacheco
Manuel Cabral Morais
Affiliation:
Department of Mathematics and CEMAT (Center for Mathematics and Applications), Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
António Pacheco
Affiliation:
Department of Mathematics and CEMAT (Center for Mathematics and Applications), Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Corresponding
E-mail address:
maj@math.ist.utl.pt
apacheco@math.ist.utl.pt
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Abstract

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Type
Letter to the Editor
Information
Journal of Applied Probability , Volume 41 , Issue 4 , December 2004 , pp. 1243 - 1247
Copyright
Copyright © Applied Probability Trust 2004 

References

Durham, S., Lynch, J., and Padgett, W. J. (1990). TP2-orderings and the IFR property with applications. Prob. Eng. Inf. Sci. 4, 73–88.CrossRefGoogle Scholar
Kijima, M. (1997). Markov Processes for Stochastic Modeling. Chapman and Hall, London.CrossRefGoogle Scholar
Li, H., and Shaked, M. (1997). Ageing first-passage times of Markov processes: a matrix approach. J. Appl. Prob. 34, 1–13.CrossRefGoogle Scholar
Lucas, J. M., and Crosier, R. B. (1982). Fast initial response for CUSUM quality-control schemes: give your CUSUM a head start. Technometrics 24, 199–205.CrossRefGoogle Scholar
Page, E. S. (1954). Continuous inspection schemes. Biometrika 41, 100–115.CrossRefGoogle Scholar
Shaked, M., and Shanthikumar, J. G. (1994). Stochastic Orders and Their Applications. Academic Press, London.Google Scholar
Shewhart, W. (1931). Economic Control of Quality of Manufactured Product. Van Nostrand, Princeton.Google Scholar
Yashchin, E. (1985). On the analysis and design of CUSUM-Shewhart control schemes. IBM J. Res. Development 29, 377–391.CrossRefGoogle Scholar

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