Multivariate stress-strength reliability model and its evaluation for coherent structures

  • Authors:

  • Serkan Eryilmaz

  • Affiliations:

  • Izmir University of Economics, Department of Mathematics, 35330 Balcova Izmir, Turkey

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2008

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Abstract

Consider a system which has n independent components (or subsystems) each consisting of m dependent elements. Let X"i=(X"i^1,X"i^2,...,X"i^m), i=1,2,...,n denote the random strength vector of the ith component, where X"i^j denotes the random strength of the jth element of the ith component. The elements of the components are subjected to a common random stress Y=(Y"1,Y"2,...,Y"m) over time. In this paper, we setup a multivariate stress-strength model based on the conditional ordering between X"is and Y and evaluate the reliability of coherent structures in this setup.