A New Shock Model for Systems Subject to Random Threshold Failure
This paper generalizes Yeh Lam-s shock model for
renewal shock arrivals and random threshold. Several interesting
statistical measures are explicitly obtained. A few special cases and
an optimal replacement problem are also discussed.
[1] W. Stadje, "Optimal stopping in a cumulative damage model",
Operations Research Spectrum, vol. 13, pp. 31-35, 1991.
[2] J.G. Shanthikumar and U. Sumita, "General shock model associated with
correlated renewal sequences", Journal of Applied Probability, vol. 20,
pp. 600-614, 1983.
[3] Y. Lam and Y. L. Zhang, "A shock model for the maintenance problem
of a repairable system", Computers and Operations Research, vol. 31,
no. 11, pp. 1807-1820, 2004.
[4] Y.Y. Tang and Y. Lam, "A shock maintenance model for a
deteriorating system", European Journal of Operational Research, vol.
168, pp. 541-556, 2006.
[5] D.G. Nguyen and D.N.P Murthy., "Cost Analysis of Warranty Policies",
Naval Research Logistics Quarterly, vol. 31, pp. 525-541, 1984.
[1] W. Stadje, "Optimal stopping in a cumulative damage model",
Operations Research Spectrum, vol. 13, pp. 31-35, 1991.
[2] J.G. Shanthikumar and U. Sumita, "General shock model associated with
correlated renewal sequences", Journal of Applied Probability, vol. 20,
pp. 600-614, 1983.
[3] Y. Lam and Y. L. Zhang, "A shock model for the maintenance problem
of a repairable system", Computers and Operations Research, vol. 31,
no. 11, pp. 1807-1820, 2004.
[4] Y.Y. Tang and Y. Lam, "A shock maintenance model for a
deteriorating system", European Journal of Operational Research, vol.
168, pp. 541-556, 2006.
[5] D.G. Nguyen and D.N.P Murthy., "Cost Analysis of Warranty Policies",
Naval Research Logistics Quarterly, vol. 31, pp. 525-541, 1984.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:63073", author = "A. Rangan and A. Tansu", title = "A New Shock Model for Systems Subject to Random Threshold Failure", abstract = "This paper generalizes Yeh Lam-s shock model for
renewal shock arrivals and random threshold. Several interesting
statistical measures are explicitly obtained. A few special cases and
an optimal replacement problem are also discussed.", keywords = "shock model, optimal replacement, random
threshold, shocks.", volume = "2", number = "11", pages = "1261-6", }