WoS
Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18
Browse
14 results
Search Results
Article Reliability Evaluation of a System Protected by Blocks(Oxford Univ Press, 2026-04-30) Eryilmaz, SerkanWe model the reliability of a system with a main component and two auxiliary components for protection, one active, the other on cold standby. The main component performs the system function. The auxiliary components are called protection blocks. The failure rate of the main component depends on whether it is protected or not. The blocks have their own constant failure rate, that is, their lifetimes are exponentially distributed. The reliability of such a system is obtained and the properties of its failure rate are investigated. A necessary condition is obtained to compare the cost-effectiveness of single and two-block protection. Likewise, we obtain necessary conditions for comparing the effectiveness of different three-component designs under the mean time to failure criterion. In this way, the work provides decision support for the designers of systems protected by blocks.Article Analogies between Engineering and Biological Systems from Reliability Engineering Point of View: Some Thoughts in the New AI Era(Taylor & Francis Inc, 2026-05-14) Eryilmaz, SerkanThis article aims to establish an analogy between engineering systems and biological systems by focusing on some reliability and statistical models and concepts. Since reliability is by definition concerned with the future health and behavior of a system, reliability models are also considered to have potential applications for the human organism. In fact, this potential already exists through the overlap and intersection between reliability theory and survival analysis. In this context, in this article, some reliability models and concepts that have not been discussed before will be adapted to a human organism, taking into account today's data-driven processes and artificial intelligence-based developments.Article A Note on Hazard Rates of Systems Protected by a Block(Springer Heidelberg, 2026-04-29) Eryilmaz, SerkanThis paper is concerned with the investigation of the properties of the hazard rate of the system protected by a block. By examining the characteristics of the hazard rate of the system supported by a protection block, a comparison is made with the redundancy method, according to the hazard rate. It is shown that the lifetime of the system supported by the protection block is larger than the lifetime of the system equipped with redundant system asymptotically in the hazard rate order. The extension of the results to a system with multiple components is also discussed for a consecutive k-out-of-n system.Article A Note on Hazard Rates of Systems Protected by a Block(Metrika, 2026-04-29) Eryilmaz, SerkanThis paper is concerned with the investigation of the properties of the hazard rate of the system protected by a block. By examining the characteristics of the hazard rate of the system supported by a protection block, a comparison is made with the redundancy method, according to the hazard rate. It is shown that the lifetime of the system supported by the protection block is larger than the lifetime of the system equipped with redundant system asymptotically in the hazard rate order. The extension of the results to a system with multiple components is also discussed for a consecutive k-out-of-n system.Article Reliability Evaluation of a System Protected by Blocks(IMA Journal of Management Mathematics, 2026-04-30) Eryilmaz, SerkanWe model the reliability of a system with a main component and two auxiliary components for protection, one active, the other on cold standby. The main component performs the system function. The auxiliary components are called protection blocks. The failure rate of the main component depends on whether it is protected or not. The blocks have their own constant failure rate, that is, their lifetimes are exponentially distributed. The reliability of such a system is obtained and the properties of its failure rate are investigated. A necessary condition is obtained to compare the cost-e¤ectiveness of single and two-block protection. Likewise, we obtain necessary conditions for comparing the e¤ectiveness of di¤erent three-component designs under the mean time to failure criterion. In this way, the work provides decision support for the designers of systems protected by blocks.Correction The Evaluation of System Reliability Under Dependent Shock Magnitudes (Vol 28, 22, 2026)(Springer, 2026-03-16) Eryilmaz, SerkanIn this article, the statement “Serkan Eryilmaz is a member of the MCAP editorial board” in Competing Interests was inadvertently missed out during production, thus; it was added. The current statement, “The authors declare no competing interests” should have been “Serkan Eryilmaz is a member of the MCAP editorial board”. Competing Interests Serkan Eryilmaz is a member of the MCAP editorial board. The original article has been corrected. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.Article Citation - WoS: 2Citation - Scopus: 1The Evaluation of System Reliability Under Dependent Shock Magnitudes(Springer, 2026-03) Eryilmaz, SerkanThis paper studies shock models by assuming a certain kind of dependence among shock magnitudes. In particular, discrete time extreme and run shock models are investigated when the shock magnitudes follow discrete autoregressive process of order 1. Exact expressions are obtained for the reliability functions and mean time to failure values under both models. The method for deriving the reliability characteristics is based on the use of probability generating functions. Numerical results are presented when the shocks arrive according to a Binomial process.Article Citation - WoS: 2Citation - Scopus: 2A Class of Shock Models for a System That Is Equipped With a Protection Block With an Application to Wind Turbine Reliability(Wiley, 2025-11) Eryilmaz, SerkanThis paper studies a class of shock models for a system that is equipped with a protection block that has its own failure rate. Under the considered class, the system exposed to shocks at random times is protected by the protection block, and the probability of the shock damaging the system varies depending on whether the protection block operates or not. The system failure criteria is defined based on the pattern of the critical/damaging shocks. Exact expressions for the reliability and mean time to failure of the system are obtained, and detailed computations are presented for the run shock model, which is included in the class. The application of the extreme shock model, which is included in the relevant class, to wind turbine reliability is also discussed.Article Citation - WoS: 1Citation - Scopus: 1Estimation of Parameters for a System Equipped with Protection Block(Elsevier, 2026-04) Kus, Colkun; Eryilmaz, SerkanThis paper studies the problem of estimating unknown parameters involved in a system which is equipped with a protection block. The system has different failure rates depending on whether the protection block is present or not, as the protection block is modeled by its own lifetime distribution and contributes an additional failure component to the system. The model is analyzed under the assumption of exponentially distributed lifetimes, leading to the study of its distributional properties and the estimation problem for its unknown parameters. Closed-form expressions for the maximum likelihood estimators are obtained. Furthermore, theoretical expectations and variances of the estimators are derived. We also discuss the stress-strength reliability estimation problem and construct confidence intervals for the associated reliability measure. Numerical results are provided to demonstrate the implementation of the proposed methods.Article Citation - WoS: 5Citation - Scopus: 5Protection or Redundancy: Which is Better and When in Terms of Mean Time to Failure and Cost(Elsevier Sci Ltd, 2026-01) Eryilmaz, SerkanThis article is about comparing the effectiveness of protection mechanism and redundancy methods in terms of mean time to failure and cost criteria. Under the protection mechanism, a component is assumed to have different failure rates when it is protected and nonprotected. The protection block is also subject to failure and has constant failure rate. Alternatively, a redundant component which has the same failure rate with the original component may be used to enhance the reliability. For single unit and series systems, necessary conditions on the failure rate of the component are obtained to have a relation between the mean time to failure values of the system under both protection and redundancy. The extension of the results to coherent systems is also discussed.