Sharp bounds for the reliability of systems and mixtures with ordered components |
| |
| Authors: | Patryk Miziu?a Jorge Navarro |
| |
| Affiliation: | 1. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland;2. deepsense.io, Poland;3. Facultad de Matematicas, Universidad de Murcia, Murcia, Spain |
| |
| Abstract: | In this article, we study how to derive bounds for the reliability and the expected lifetime of a coherent system with heterogeneous ordered components. These bounds can be used to compare the performance of the systems obtained by permuting the components at a given system structure, that is, to study where we should place the different components at a system structure to get the most reliable system. Moreover, a similar procedure is applied to get bounds for mixtures and for the generalized proportional hazard rate model when the baseline populations are ordered. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 108–116, 2017 |
| |
| Keywords: | coherent systems bounds mixtures stochastic order copulas |
|
|
