A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

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Article ID: iaor201112766
Volume: 58
Issue: 5
Start Page Number: 478
End Page Number: 489
Publication Date: Aug 2011
Journal: Naval Research Logistics (NRL)
Authors: ,
Keywords: stochastic processes, simulation: applications, supply & supply chains
Abstract:

We give necessary and sufficient conditions based on signatures to obtain distribution-free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results.

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