Journal ArticleDOI
Reliability assessment for discrete time shock models via phase-type distributions
Serkan Eryilmaz,Cihangir Kan +1 more
About:
This article is published in Applied Stochastic Models in Business and Industry.The article was published on 2021-05-01. It has received 18 citations till now. The article focuses on the topics: Discrete time and continuous time & Shock (mechanics).read more
Citations
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Journal ArticleDOI
Reliability properties of k-out-of-n systems with one cold standby unit
TL;DR: This paper studies reliability properties of a k-out-of-n system with a single cold standby unit and presents several monotonicity results associated with these reliability characteristics.
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Reliability and optimal triggering policy for multi-state systems subject to shocks and supported by a protective device
TL;DR: A state based triggering policy of the protective device is designed and an optimization model is constructed to determine the optimal triggering threshold, and numerical examples are given to illustrate the proposed model and obtained results.
Journal ArticleDOI
Discrete time dynamic reliability modeling for systems with multistate components
TL;DR: In this article, the authors proposed modeling techniques for exact dynamic reliability analyses of systems with the lifetimes of all components following independent and non-identical discrete phase-type (DPH) distributions.
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Discrete time series–parallel system and its optimal configuration
Anna Dembińska,Serkan Eryilmaz +1 more
TL;DR: This paper focuses on the number of failed components in each subsystem at the time when the system fails, and matrix-based expressions are derived for the quantities under concern to obtain optimal configuration of the series–parallel system which is replaced at failure.
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State space and binary decision diagram models for discrete standby systems with multistate components
TL;DR: In this article , a state space model for exact analysis of discrete time general standby systems is proposed for hot, warm, and cold backup in any combination of them, and a binary decision diagram model for the same systems is also proposed by representing a multistate component as a single node.
References
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Book
Fundamentals of Matrix-Analytic Methods
TL;DR: This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods, especially useful for engineering analysis and design.
Journal ArticleDOI
On the use of phase type distributions in reliability modelling of systems with two components
TL;DR: In this article, a variety of reliability models with a small number of components may be studied in terms of finite-state Markov processes, assuming that the time-to-failure and repair time distributions are of phase type.
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A shock model with two-type failures and optimal replacement policy
Guan Jun Wang,Yuan Lin Zhang +1 more
TL;DR: A shock model for a repairable system with two-type failures is studied and an optimal replacement policy N based on the number of failure of the system is considered such that the long-run average cost per unit time is minimised.
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δ-shock model based on Polya process and its optimal replacement policy
TL;DR: Survition function and mean lifetime of the system and the optimal replacement policy for the δ -shock model based on Polya process are obtained and studied.
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Computing optimal replacement time and mean residual life in reliability shock models
TL;DR: In this paper, a matrix-based method is presented to compute the optimal replacement time and mean residual lifetime of a system under particular class of reliability shock models, where the times between successive shocks are assumed to have a common continuous phase-type distribution.