Title
Minimizing the mean damage for parallel-series systems with two failure modes
Abstract
We address a non-convex optimization problem involving the minimization of the difference between two symmetric functions which are log convex. Specifically we are interested in minimizing the mean system damage of a parallel-series system composed of a maximal number of identical units, each capable of failing in one of two ways.We characterize the solution of the problem, and develop an algorithm to solve large scale versions of it.Numerical results are presented. It is shown that an optimal configuration with n available components may not use all n components.
Year
DOI
Venue
2000
10.1023/A:1026510617647
Comp. Opt. and Appl.
Keywords
Field
DocType
optimal redundancy,integer and non convex optimization
Mathematical optimization,Nonlinear programming,Proper convex function,Conic optimization,Ellipsoid method,Convex optimization,Optimization problem,Linear matrix inequality,Convex analysis,Mathematics
Journal
Volume
Issue
ISSN
17
2/3
1573-2894
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Vladimir Kirilyuk100.34
James E. Falk229768.47