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Original Articles

Multi-state k-out-of-n systems and their performance evaluation

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Pages 32-44 | Received 01 Jun 2006, Accepted 01 Dec 2007, Published online: 12 Nov 2008

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Crossref
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Crossref
Cong Lin, Lirong Cui, David Coit & Min Lv. (2017) An approximation method for evaluating the reliability of a dynamic k -out-of- n :F system subjected to cyclic alternating operation conditions . Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 231:2, pages 109-120.
Crossref
Yassin Hajipour & Sharareh Taghipour. (2016) Non-periodic inspection optimization of multi-component and k-out-of-m systems. Reliability Engineering & System Safety 156, pages 228-243.
Crossref
Lirong Cui, Yan Li, Jingyuan Shen & Cong Lin. (2016) Reliability for discrete state systems with cyclic missions periods. Applied Mathematical Modelling 40:23-24, pages 10783-10799.
Crossref
Lirong Cui, Quan Zhang & Dejing Kong. (2015) Some New Concepts and Their Computational Formulae in Aggregated Stochastic Processes with Classifications Based on Sojourn Times. Methodology and Computing in Applied Probability 18:4, pages 999-1019.
Crossref
Serkan Eryilmaz & Altan Tuncel. (2016) Generalizing the survival signature to unrepairable homogeneous multi-state systems. Naval Research Logistics (NRL) 63:8, pages 593-599.
Crossref
Serkan Eryilmaz, Markos V. Koutras & Ioannis S. Triantafyllou. (2016) Mixed Three-State <formula formulatype="inline"> <tex Notation="TeX">${\rm k}$</tex> </formula>-Out-of-<formula formulatype="inline"> <tex Notation="TeX">${\rm n}$</tex> </formula> Systems With Components Entering at Different Performance Levels. IEEE Transactions on Reliability 65:2, pages 969-972.
Crossref
Bhupesh K. Lad, Divya Shrivastava & Makarand S. Kulkarni. 2016. Machine Tool Reliability. Machine Tool Reliability 277 295 .
Sharareh Taghipour & Maryam L Kassaei. (2015) Periodic Inspection Optimization of a k-Out-of-n Load-Sharing System. IEEE Transactions on Reliability 64:3, pages 1116-1127.
Crossref
Liudong Xing & Suprasad V. Amari. 2015. Binary Decision Diagrams and Extensions for System Reliability Analysis. Binary Decision Diagrams and Extensions for System Reliability Analysis 187 204 .
Serkan Eryilmaz. (2015) Mixture Representations for Three-State Systems With Three-State Components. IEEE Transactions on Reliability 64:2, pages 829-834.
Crossref
David W. Coit, Nida Chatwattanasiri, Naruemon Wattanapongsakorn & Abdullah Konak. (2015) Dynamic k-out-of-n system reliability with component partnership. Reliability Engineering & System Safety 138, pages 82-92.
Crossref
Yuchang Mo, Liudong Xing, Suprasad V. Amari & Joanne Bechta Dugan. (2015) Efficient analysis of multi-state k-out-of-n systems. Reliability Engineering & System Safety 133, pages 95-105.
Crossref
Serkan Eryilmaz & Min Xie. (2014) Dynamic modeling of general three-state -out-of- :G systems: Permanent-based computational results . Journal of Computational and Applied Mathematics 272, pages 97-106.
Crossref
Serkan Eryilmaz. (2014) Lifetime of Multistate k -out-of- n Systems . Quality and Reliability Engineering International 30:7, pages 1015-1022.
Crossref
Shahrzad Faghih-Roohi, Min Xie, Kien Ming Ng & Richard C.M. Yam. (2014) Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems. Reliability Engineering & System Safety 123, pages 57-62.
Crossref
Gregory Levitin. (2013) Multi-State Vector-k-Out-of-n Systems. IEEE Transactions on Reliability 62:3, pages 648-657.
Crossref
S K Chaturvedi, S H Basha, S V Amari & M J Zuo. (2011) Reliability analysis of generalized multi-state k -out-of- n systems . Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 226:3, pages 327-336.
Crossref
Sanling Song, Nida Chatwattanasiri, David W. Coit, Qianmei Feng & Naruemon Wattanapongsakorn. (2012) Reliability analysis for k-out-of-n systems subject to multiple dependent competing failure processes. Reliability analysis for k-out-of-n systems subject to multiple dependent competing failure processes.
Juan Eloy Ruiz-Castro & Quan-Lin Li. (2011) Algorithm for a general discrete k-out-of-n: G system subject to several types of failure with an indefinite number of repairpersons. European Journal of Operational Research 211:1, pages 97-111.
Crossref
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithMing J. Zuo & Zhigang Tian. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Serkan Eryilmaz. (2010) Mean Residual and Mean Past Lifetime of Multi-State Systems With Identical Components. IEEE Transactions on Reliability 59:4, pages 644-649.
Crossref
S.V. Amari, M.J. Zuo & G. Dill. (2009) A Fast and Robust Reliability Evaluation Algorithm for Generalized Multi-State $k$-out-of-$n$ Systems. IEEE Transactions on Reliability 58:1, pages 88-97.
Crossref

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