Browsing by Author "Erylmaz, Serkan"

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Citation - WoS: 25
Citation - Scopus: 33
Dynamic Behavior of k-out-of-n< Systems
(Elsevier, 2011) Eryilmaz, Serkan; Erylmaz, Serkan
In this paper, we study the distribution and expected value of the number of working components at time t in usual and weighted k-out-of-n:G systems under the condition that they are working at time t. We evaluate the distribution of the corresponding conditional random variable and compute its expected value for the systems consisting of independent but nonidentical components. Illustrative examples are presented and an optimization problem which makes use of the conditional random variable is also formulated and solved numerically. (c) 2011 Elsevier B.V. All rights reserved.
Citation - WoS: 1
Citation - Scopus: 2
On the Lifetime of a Random Binary Sequence
(Elsevier Science Bv, 2011) Eryilmaz, Serkan; Erylmaz, Serkan
Consider a system with m elements which is used to fulfill tasks. Each task is sent to one element which fulfills a task and the outcome is either fulfillment of the task ("1") or the failure of the element ("0"). Initially, m tasks are sent to the system. At the second step, a complex of length m(1) is formed and sent to the system, where m(1) is the number of tasks fulfilled at the first step, and so on. The process continues until all elements fail and the corresponding waiting time defines the lifetime of the binary sequence which consists of "1" or "0". We obtain a recursive equation for the expected value of this waiting time random variable. (C) 2011 Elsevier B.V. All rights reserved.
Citation - WoS: 34
Citation - Scopus: 30
Reliability Evaluation for a Multi-State System Under Stress-Strength Setup
(Taylor & Francis inc, 2011) Eryilmaz, Serkan; Iscioglu, Funda; Erylmaz, Serkan
The two most commonly used reliability models in engineering applications are binary k-out-of-n:G and consecutive k-out-of-n:G systems. Multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G systems have been proposed as an extension of these systems and they have been found to be more flexible tool for modeling engineering systems. In this article, multi-state systems, in particular, multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G, are considered in a stress-strength setup. The states of the system are classified considering the number of components whose strengths above (below) the multiple stresses available in an environment. The exact state probabilities are provided and the results are illustrated for various stress-strength distributions. Maximum likelihood estimators of state probabilities are also presented.