NDLI: Bounds on uptime distribution based on aging for systems with finite lifetimes

Content Provider	Springer Nature Link
Author	Wells, Charles E.
Copyright Year	2015
Abstract	Consider a system which is subject to occasional failures over its lifetime. Under general stochastic assumptions concerning the occurrence of these failures, the duration of the repair times, and the length of the system’s lifetime, the distribution of the total uptime the system accumulates over its lifetime may be determined. While the distribution is unfortunately complicated except in certain circumstances, it is possible to derive useful bounds based on the aging characteristics of the distributions of interfailure times, repair times, and system life. Bounds are developed for the cases where the system lifetime follows (1) a degenerate distribution (or constant mission duration), (2) an exponential distribution, and (3) a general distribution. These bounds may be interpreted as extensions of well-known bounds based on aging notions from renewal theory. Conditions are identified for when the bounds are sharp, and examples are used to show the computational tractability and usefulness of the results.
Starting Page	757
Ending Page	769
Page Count	13
File Format	PDF
ISSN	02545330
Journal	Annals of Operations Research
Volume Number	235
Issue Number	1
e-ISSN	15729338
Language	English
Publisher	Springer US
Publisher Date	2015-08-06
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Uptime Bounds Repairable and nonrepairable failures Aging Operation Research/Decision Theory Combinatorics Theory of Computation
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research

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