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On Availability of Repairable Systems in Random Environments
by
Mark Carpenter
Department of Mathematics and Statistics, Auburn University
Coauthors: Jyotirmoy Sarkar, Indiana University Purdue University Indianapolis, and Zhigang Li, Auburn University
Under the perfect repair model, we study the limiting availability of repairable systems operating in an environment different from their laboratory environment. Assuming the operating environment has a random hazard rate that is proportional to the laboratory hazard rate, the resulting survival function is represented as a mixture of survival functions, and the limiting availability in the two environments are compared. Conditions are given for when the limiting availability is smaller in the operating environment. The estimators of the limiting availability and the parameters of the gamma mixing distributions, as well as, general mixtures, are studied via simulation.
Date received: September 23, 2005
Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqt-85.