Scholarly Output Search Results

Now showing 1 - 3 of 3

Citation - WoS: 21
Citation - Scopus: 29
On Reliability Analysis of a Two-Dependent Series System With a Standby Unit
(Elsevier Science inc, 2012) Eryilmaz, Serkan; Tank, Fatih
In this paper we study a series system with two active components and a single cold standby unit. The two simultaneously working components are assumed to be dependent and this dependence is modeled by a copula function. In particular, we obtain an explicit expression for the mean time to failure of the system in terms of the copula function and marginal lifetime distributions. We also provide illustrative numerical results for different copula functions and marginal lifetime distributions. (c) 2012 Elsevier Inc. All rights reserved.
Citation - WoS: 27
Citation - Scopus: 30
The Distributions of Sum, Minima and Maxima of Generalized Geometric Random Variables
(Springer, 2015) Tank, Fatih; Eryilmaz, Serkan
Geometric distribution of order as one of the generalization of well known geometric distribution is the distribution of the number of trials until the first consecutive successes in Bernoulli trials with success probability . In this paper, it is shown that this generalized distribution can be represented as a discrete phase-type distribution. Using this representation along with closure properties of phase-type distributions, the distributions of sum, minima and maxima of two independent random variables having geometric distribution of order are obtained. Numerical results are presented to illustrate the computational details.
Citation - WoS: 11
Citation - Scopus: 15
Optimal Age Replacement Policy for Discrete Time Parallel Systems
(Springer, 2023) Eryilmaz, Serkan; Tank, Fatih
In the case of discrete age replacement policy, a system whose lifetime is measured by the number cycles is replaced preventively after a specific number of cycles or correctively at failure, whichever occurs first. Under the discrete setup, the policy has been mostly considered for single unit systems. In this paper, a discrete time age replacement policy is studied for a parallel system that consists of components having discretely distributed lifetimes. In particular, the necessary conditions for the unique and finite replacement cycle that minimize the expected cost rate are obtained. The theoretical results are illustrated with numerical examples to observe the effect of the cost values and the mean lifetime of the components on the optimal replacement cycle.

Journal	Count
Journal of Computational and Applied Mathematics	2
Insurance: Mathematics and Economics	1
Japanese Journal of Statistics and Data Science	1
Applied Mathematics and Computation	1
Statistical Papers	1

Tank, Fatih

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Sustainable Development Goals

NO POVERTY

ZERO HUNGER

GOOD HEALTH AND WELL-BEING

QUALITY EDUCATION

GENDER EQUALITY

CLEAN WATER AND SANITATION

AFFORDABLE AND CLEAN ENERGY

DECENT WORK AND ECONOMIC GROWTH

INDUSTRY, INNOVATION AND INFRASTRUCTURE

REDUCED INEQUALITIES

SUSTAINABLE CITIES AND COMMUNITIES

RESPONSIBLE CONSUMPTION AND PRODUCTION

CLIMATE ACTION

LIFE BELOW WATER

LIFE ON LAND

PEACE, JUSTICE AND STRONG INSTITUTIONS

PARTNERSHIPS FOR THE GOALS

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23

Citations

173

h-index

7

Documents

22

Citations

136

Scholarly Output

8

Articles

7

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37/0

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0

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0

WoS Citation Count

72

Scopus Citation Count

88

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0

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0

WoS Citations per Publication

9.00

Scopus Citations per Publication

11.00

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1

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0

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