By Topic

Maximizing mean-time to failure in k-resilient systems with repair

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Fridman, J. ; Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA ; Rangarajan, S.

A k-resilient system with N components can tolerate up to k component failures and still function correctly. We consider k-resilient systems where the number of component failures is a constant fraction of the total number of components, that is k=N/c and c is a constant such that 2⩽c<∞. Under a Markovian assumption of constant failure and repair rates, we compute the system size Nmax at which the mean-time to failure (MTTF) for such a system is maximized. Our results indicate that Nmax can be expressed in terms of constant c and parameter ρ as Nmax=K(c,ρ)/ρ, where ρ=λ/μ and K(c, ρ) is a function of c,ρ. In addition, we have found that the variation of Nmax over the whole range of c is remarkably small, and as a result, even if the resilience k of a system as a function of N varies widely, the system size at which the MTTF is maximized is within the range 0.36/ρ and 0.5/ρ. We validate our results through event-driven simulation, and, in addition, examine the behavior of systems with Weibull distributed failure times

Published in:

Computers, IEEE Transactions on  (Volume:46 ,  Issue: 2 )