Component and system active redundancies for coherent systems with dependent components |
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| Authors: | Yiying Zhang Ebrahim Amini‐Seresht Weiyong Ding |
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| Affiliation: | 1. Department of Statistics and Actuarial Science, The University of Hong Kong, Hong Kong;2. Department of Statistics, Bu‐Ali Sina University, Hamedan, Iran;3. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, China |
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| Abstract: | The prevailing engineering principle that redundancy at the component level is superior to redundancy at the system level is generalized to coherent systems with dependent components. Sufficient (and necessary) conditions are presented to compare component and system redundancies by means of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orderings. Explicit numerical examples are provided to illustrate the theoretical findings. Some related results in the literature are generalized and extended. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | component redundancy system redundancy coherent system stochastic orders distorted functionMSC2010: Primary 90B25, Secondary 60E15, 60K10 |
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