Birnbaum Önem Tabanlı Genetik Algoritma ve Doğrusal Ardışık n-den k-çıkışlı Sistemlerin Optimizasyonunda Uygulaması
Year 2018,
Volume: 7 Issue: 2, 276 - 283, 28.12.2018
Gökhan Gökdere
,
Yunus Güral
Abstract
Mühendislik
uygulamalarında teknik bir sistemin güvenilirliği, o sistemi oluşturan
bileşenlerin güvenilirliklerine bağlıdır. Bazı özel sistemlerde iki veya daha
fazla bileşen aynı işleve sahip olabilirler ve bu bileşenler sistemde farklı
pozisyonlara atanabilirler. Bu gibi sistemlerde aynı bileşenlerin konumlarını
değiştirerek sistemin güvenilirliği artırılabilir. Bu çalışmada seri ve paralel
sistemlerin genel hali olan doğrusal ardışık n-den k-çıkışlı
sistemler incelenmiş ve sistemi oluşturan bütün bileşenlerin aynı işleve sahip
olduğu durum için sistemin optimizasyonu Birnbaum önem tabanlı genetik
algoritma yaklaşımı ile sağlanmaya çalışılmıştır. Ayrıca, önermiş olduğumuz yaklaşımın
uygulamasını göstermek için petrol taşıma sistemi üzerinde bir durum
çalışmasına yer verilmiştir.
References
- Kontoleon, J.M. 1980. Reliability determination of a r-successive-out-of-n: F system. IEEE Transaction on Reliability, 29: 437.
- Chiang, D.T., Niu, S.C. 1981. Reliability of a consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 30: 87-89.
- Kao, S.C. 1982. Computing reliability from warranty. Proc. Am. Statist. Assoc., Sect. Statist. Comput. 309-312.
- Chiang, D., Chiang, R. 1986. Relayed communication via consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 35: 6570.
- Bollinger, R.C., Salvia, A.A. 1982. Consecutive-k-out-of-n: F network. IEEE Transaction on Reliability, 31: 53-56.
- Derman, C., Liberman, G.J., Ross, S.M. 1982. On the consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 31: 57-63.
- Zuo, M.J., Kuo, W. 1990. Design and performance analysis of consecutive-k-out-of-n structure. Naval Research Logistics, 37, 203-230.
- Eryılmaz, S. 2014. Parallel and consecutive k-out-of-n: F systems under stochastic deterioration, Appl. Math. Comput., 227, 19-26.
- Gokdere, G., Gurcan, M., Kılıç, M. B. 2016. A new method for computing the reliability of consecutive k-out-of-n: F systems, Open Phys., 14, 166-170.
- Gokdere, G., Gurcan, M., 2016. Mühendislik Uygulamalarında Kullanılan Ardışık n den k Çıkışlı Sistemlerin Güvenilirlik Analizi, AKÜ FEMÜBİD., 16: 461‐467.
- Derman C, Lieberman GJ, Ross SM. 1972. On optimal assembly of systems. Nav Res Logist 19(4):569–74.
- Birnbaum ZW. 1969. in On the importance of different components in a multicomponent system. New York: Academic Press, 581–92.
- Faghih-Roohi S, Xie M, Ng KM, Yam RCM. 2014. Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems. Reliab. Eng. Syst. Saf., 123:57–62.
- Kuo W, Zhu XY. 2012. Some recent advances on importance measures in reliability. IEEE Trans Reliab., 61(2):344–60.
- Zhang LG, Lu ZZ, Cheng L, et al. 2014. A new method for evaluating Borgonovo moment-independent importance measure with its application in an aircraft structure. Reliab. Eng. Syst. Saf. 132:163–75.
- Lisnianski A, Frenkel I, Khvatskin L. 2015. On Birnbaum importance assessment for aging multi-state system under minimal repair by using the L_z-transform method. Reliab Eng Syst Saf., 142:258–66.
- Kuo W, Zhang W, Zuo M. 1990. A consecutive-k-out-of-n: G system: The mirror image of a consecutive-k-out-of-n: F system. IEEE Transactions on Reliability,R-39(2), 244-253.
- Cai Z, Si S, et al. 2016. Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm. Reliab Eng Syst Saf., 152: 248-258.
- Yao QZ, Zhu XY, Kuo W. 2011. Heuristics for component assignment problems based on the Birnbaum importance. IIE Trans., 43(9):633–46.
Year 2018,
Volume: 7 Issue: 2, 276 - 283, 28.12.2018
Gökhan Gökdere
,
Yunus Güral
References
- Kontoleon, J.M. 1980. Reliability determination of a r-successive-out-of-n: F system. IEEE Transaction on Reliability, 29: 437.
- Chiang, D.T., Niu, S.C. 1981. Reliability of a consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 30: 87-89.
- Kao, S.C. 1982. Computing reliability from warranty. Proc. Am. Statist. Assoc., Sect. Statist. Comput. 309-312.
- Chiang, D., Chiang, R. 1986. Relayed communication via consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 35: 6570.
- Bollinger, R.C., Salvia, A.A. 1982. Consecutive-k-out-of-n: F network. IEEE Transaction on Reliability, 31: 53-56.
- Derman, C., Liberman, G.J., Ross, S.M. 1982. On the consecutive-k-out-of-n: F system. IEEE Transaction on Reliability, 31: 57-63.
- Zuo, M.J., Kuo, W. 1990. Design and performance analysis of consecutive-k-out-of-n structure. Naval Research Logistics, 37, 203-230.
- Eryılmaz, S. 2014. Parallel and consecutive k-out-of-n: F systems under stochastic deterioration, Appl. Math. Comput., 227, 19-26.
- Gokdere, G., Gurcan, M., Kılıç, M. B. 2016. A new method for computing the reliability of consecutive k-out-of-n: F systems, Open Phys., 14, 166-170.
- Gokdere, G., Gurcan, M., 2016. Mühendislik Uygulamalarında Kullanılan Ardışık n den k Çıkışlı Sistemlerin Güvenilirlik Analizi, AKÜ FEMÜBİD., 16: 461‐467.
- Derman C, Lieberman GJ, Ross SM. 1972. On optimal assembly of systems. Nav Res Logist 19(4):569–74.
- Birnbaum ZW. 1969. in On the importance of different components in a multicomponent system. New York: Academic Press, 581–92.
- Faghih-Roohi S, Xie M, Ng KM, Yam RCM. 2014. Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems. Reliab. Eng. Syst. Saf., 123:57–62.
- Kuo W, Zhu XY. 2012. Some recent advances on importance measures in reliability. IEEE Trans Reliab., 61(2):344–60.
- Zhang LG, Lu ZZ, Cheng L, et al. 2014. A new method for evaluating Borgonovo moment-independent importance measure with its application in an aircraft structure. Reliab. Eng. Syst. Saf. 132:163–75.
- Lisnianski A, Frenkel I, Khvatskin L. 2015. On Birnbaum importance assessment for aging multi-state system under minimal repair by using the L_z-transform method. Reliab Eng Syst Saf., 142:258–66.
- Kuo W, Zhang W, Zuo M. 1990. A consecutive-k-out-of-n: G system: The mirror image of a consecutive-k-out-of-n: F system. IEEE Transactions on Reliability,R-39(2), 244-253.
- Cai Z, Si S, et al. 2016. Optimization of linear consecutive-k-out-of-n system with a Birnbaum importance-based genetic algorithm. Reliab Eng Syst Saf., 152: 248-258.
- Yao QZ, Zhu XY, Kuo W. 2011. Heuristics for component assignment problems based on the Birnbaum importance. IIE Trans., 43(9):633–46.