2 results
Search Results
Now showing 1 - 2 of 2
Article Citation - WoS: 15Citation - Scopus: 17The Lost Capacity by the Weighted k-out-of-n< System Upon System Failure(Elsevier Sci Ltd, 2021) Eryilmaz, Serkan; Ucum, Kaan AyberkA k-out-of-n. system with weighted components is a system that consists of components contribute differently to the overall performance of the system, and functions if the total weight/contribution of all working components exceeds or equal to the level k.. Such a system is useful and suitable for modeling capacity based systems such as power systems, transportation systems and manufacturing systems. This paper is concerned with the lost capacity by the weighted-k-out-of-n. system at the time when the system fails. This random quantity is useful for making an optimal decision about the spare capacity that should be available to renew the system upon its failure. In particular, the distribution of this random quantity is derived and the theoretical results are illustrated for a power system consisting of a specified number of generating units.Article Citation - WoS: 44Citation - Scopus: 53On Reliability Analysis of a k-out-of-n< System With Components Having Random Weights(Elsevier Sci Ltd, 2013) Eryilmaz, SerkanConsider a system consisting of n components each with its own positive integer-valued random weight (capacity). The system is assumed to have a performance level above c if there are at least k working components, and the total weight of all working components is above c. We study the reliability properties of such a system. A recursive formula is obtained for computing the system state probabilities. We present a Monte-Carlo simulation algorithm to observe the time spent by the system in state c or above. The algorithm is based on the use of ordered lifetimes of components. We illustrate the results with numerical computations. (C) 2012 Elsevier Ltd. All rights reserved.
