Jorge Navarro , Tomasz Rychlik , Magdalena Szymkowiak
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引用次数: 0
Abstract
We show that some distributions play a crucial role in the aging classes closure under the creation of semi-coherent (or mixed) systems with identically distributed component lifetimes. In this way, if the class is inherited for that key distributions, then so is for the remaining distributions included this class. In the most important aging classes, the key distribution is the exponential one, which plays a central role in this context since it represents units without aging (with the lack of memory property). In other classes the key distributions are the uniform and Pareto models. These distributions lead to mathematical properties that may be useful to decide if an aging class is inherited by a specific system. We consider both the cases of systems with independent and dependent components.
期刊介绍：
The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest.
The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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