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Quality Technology & Quantitative Management Volume 4, 2007 - Issue 1
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Original Articles

Survival Probabilities for Shock and Wear Models Governed by Phase-Type Distributions

Delia Montoro-CazorlaUniversidad de Jaén, Jaén, SpainView further author information
,
Pérez-Ocón RafaelUniversidad de Granada, Granada, SpainView further author information
&
M. Carmen SegoviaUniversidad de Granada, Granada, SpainView further author information
Pages 85-94 | Received 01 Mar 2006, Accepted 01 Jul 2006, Published online: 09 Feb 2016

Citations (18)

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Fengming Kang & Lirong Cui. (2022) Reliability analysis for systems with self-healing mechanism under two different types of cumulative shocks. Quality Technology & Quantitative Management 19:4, pages 454-472.
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Articles from other publishers (17)

Miaomiao Yu & Yinghui Tang. (2023) Analyze periodic inspection and replacement policy of a shock and wear model with phase-type inter-shock arrival times using roots method. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, pages 1748006X2211510.
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María Luz Gámiz, Delia Montoro-Cazorla, María del Carmen Segovia-García & Rafael Pérez-Ocón. (2022) MoMA Algorithm: A Bottom-Up Modeling Procedure for a Modular System under Environmental Conditions. Mathematics 10:19, pages 3521.
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Hao Lyu, Shuai Wang, Xiaowen Zhang, Zaiyou Yang & Michael Pecht. (2021) Reliability modeling for dependent competing failure processes with phase-type distribution considering changing degradation rate. Eksploatacja i Niezawodność – Maintenance and Reliability 23:4, pages 627-635.
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Long Wang, Tengfei Xu, Qingjie Zhang, Xu Luo & Yue Li. (2020) A Parameter Estimation Method for Stress- Strength Model Based on Extending Markov State-Space With Variable Transition Rates. IEEE Access 8, pages 177267-177286.
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Long Wang, Xu Luo, Yue Li & Jia Tang. (2020) A Reliability Modeling Method Based on Phase-Type Distribution Aiming at Shock Model. IEEE Access 8, pages 154881-154897.
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Murat Ozkut & Serkan Eryilmaz. (2019) Reliability analysis under Marshall–Olkin run shock model. Journal of Computational and Applied Mathematics 349, pages 52-59.
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Rakesh Nandi & S. K. Samanta. (2018) Performance Analysis of Shock Models Governed by a Discrete-Time Markovian Arrival Process. Journal of the Indian Society for Probability and Statistics 19:2, pages 455-468.
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Xiao-Sheng Si, Zheng-Xin Zhang & Chang-Hua HuXiao-Sheng Si, Zheng-Xin Zhang & Chang-Hua Hu. 2017. Data-Driven Remaining Useful Life Prognosis Techniques. Data-Driven Remaining Useful Life Prognosis Techniques 3 21 .
Delia Montoro-Cazorla & Rafael Pérez-Ocón. (2015) A reliability system under cumulative shocks governed by a BMAP. Applied Mathematical Modelling 39:23-24, pages 7620-7629.
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Zhengxin Zhang, Xiaosheng Si, Changhua Hu & Xiangyu Kong. (2015) Degradation modeling–based remaining useful life estimation: A review on approaches for systems with heterogeneity. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 229:4, pages 343-355.
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Serkan Eryilmaz. (2015) Dynamic assessment of multi-state systems using phase-type modeling. Reliability Engineering & System Safety 140, pages 71-77.
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Joanna Rodríguez, Rosa E. Lillo & Pepa Ramírez-Cobo. (2015) Failure modeling of an electrical N-component framework by the non-stationary Markovian arrival process. Reliability Engineering & System Safety 134, pages 126-133.
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M.C. Segovia & P.E. Labeau. (2013) Reliability of a multi-state system subject to shocks using phase-type distributions. Applied Mathematical Modelling 37:7, pages 4883-4904.
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Delia Montoro-Cazorla & Rafael Pérez-Ocón. (2011) A shock and wear system with memory of the phase of failure. Mathematical and Computer Modelling 54:9-10, pages 2155-2164.
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Delia Montoro-Cazorla & Rafael Pérez-Ocón. (2010) System availability in a shock model under preventive repair and phase-type distributions. Applied Stochastic Models in Business and Industry 26:6, pages 689-704.
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Rafael Pérez-Ocón & Maria del Carmen Segovia. (2009) Shock models under a Markovian arrival process. Mathematical and Computer Modelling 50:5-6, pages 879-884.
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Delia Montoro-Cazorla, Rafael Pérez-Ocón & Maria del Carmen Segovia. (2009) Replacement policy in a system under shocks following a Markovian arrival process. Reliability Engineering & System Safety 94:2, pages 497-502.
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