ON THE SIGNATURE OF COHERENT SYSTEMS AND APPLICATIONS
| Autor: | Markos V. Koutras, Ioannis S. Triantafyllou |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
Structure (mathematical logic) Recurrence relation Relation (database) Property (programming) Reliability (computer networking) Management Science and Operations Research Industrial and Manufacturing Engineering Signature (logic) Simple (abstract algebra) Statistics Probability and Uncertainty Algorithm Mathematics Generating function (physics) |
| Zdroj: | Probability in the Engineering and Informational Sciences. 22:19-35 |
| ISSN: | 1469-8951 0269-9648 |
| Popis: | In the present article we provide a formula that facilitates the evaluation of the signature of a reliability structure by a generating function approach. A simple sufficient condition is also derived for proving the nonpreservation of the IFR property for the system's lifetime (when the components are IFR) by exploiting the signature of the system. As an application of the general results, we deduce recurrence relations for the signature of a linear consecutive k-out-of-n: F system. We establish a simple relation between the signature of a linear and a circular system and investigate the IFR preservation property under the formulation of such systems. |
| Databáze: | OpenAIRE |
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