Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520130951-83201879-083610.1016/j.ress.2012.07.0102-s2.0-84866304131https://doi.org/10.1016/j.ress.2012.07.010https://hdl.handle.net/20.500.14411/347Eryilmaz, Serkan/0000-0002-2108-1781Consider 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.eninfo:eu-repo/semantics/closedAccessk-Out-of-n systemMonte-Carlo simulationSystem with weighted componentsOrder statisticsArticleQ11094144WOS:00031082240000642