Filters

2012 - 201912020 - 20221
Reset filters

Settings

Author: Yalcin, FeminScopus Q: Q1

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 8
    Citation - Scopus: 9
    The Number of Failed Components Upon System Failure When the Lifetimes Are Discretely Distributed
    (Elsevier Sci Ltd, 2022) Eryilmaz, Serkan; Yalcin, Femin
    The number of failed components at the time when the system fails is an important quantity which can be effectively used in the determination of the optimal number of spares. This paper is concerned with the distribution and expected value of this quantity when the lifetimes of a given coherent system are discretely distributed. In particular, the distribution of the corresponding random quantity is derived for all coherent systems of order three and four. The mean number of the failed components upon system failure is exactly derived for a linear consecutive-2-out-of-n:F structure. The mean of the quantity under concern is also computed for series and parallel systems consisting of disjoint modules. The latter computation provides an efficient way to obtain the corresponding mean for a larger system via the modules which have smaller number of components.
  • Thumbnail Image
    Article
    Citation - WoS: 16
    Citation - Scopus: 18
    Start-Up Demonstration Test Based on Total Successes and Total Failures With Dependent Start-Ups
    (Ieee-inst Electrical Electronics Engineers inc, 2012) Yalcin, Femin; Eryilmaz, Serkan
    Start-up demonstration testing is an effective method for illustrating the reliability of a unit before purchasing it. The test consists of starting-up the unit, and observing the outcomes, either success or failure. According to the total successes total failures (TSTF) test procedure, a unit under test is accepted when a specified number of successes is observed before a specified number of failures; otherwise, the unit is rejected. We study the TSTF procedure for dependent start-ups where the outcome of the present start-up depends on the total number of successful start-ups so far. The main characteristics of the TSTF test are obtained under this previous-sum dependent model, and numerical illustrations are presented.