How to cite this paper
Jamkhaneh, E. (2014). Modified generalized linear failure rate distribution: Properties and reliability analysis.International Journal of Industrial Engineering Computations , 5(3), 375-386.
Refrences
Aliev, I. M., & Kara, Z. (2004). Fuzzy system reliability analysis using dependent fuzzy set. Control and Cybernetics, 33, 653-662.
Baloui Jamkhaneh, E. (2011). An Evaluation of the Systems Reliability Using Fuzzy Lifetime Distribution. Journal of Applied Mathematics, Islamic Azad University of Lahijan, 8(28), 73-80.
Baloui Jamkhaneh. E., & Nozari, A. (2012). Fuzzy System Reliability Analysis Based on Confidence Interval. Advanced Materials Research, 433, 4908-4914.
Baloui Jamkhaneh, E. (2014). Analyzing system reliability using fuzzy Weibull lifetime distribution. International Journal of Applied Operational Research, 4(1), 81-90.
Buckley, J.J. (2006). Fuzzy probability and statistics. Springer-Verlage Berlin Heidelberg.
Burr, I.W. (1942). Cumulative frequency distribution. Annals of Mathematical Statistics, 13, 215-232.
Cai, K.Y., Wen, C.Y. & Zhang, M.L. (1991). Fuzzy variables as a basic for a theory of fuzzy reliability in the possibility context. Fuzzy Set and Systems, 42, 145-172.
Cai, K.Y., Wen, C.Y. & Zhang, M.L. (1993). Fuzzy states as for a theory of fuzzy reliability. Microelectron Reliability, 33, 2253-2263.
Cai, K.Y. (1996). System failure engineering and fuzzy methodology. An introductory overview. Fuzzy Set and Systems, 83, 113-133.
Chen, C.H., Mon, L. (1993). Fuzzy system reliability analysis by interval of confidence. Fuzzy Set and Systems, 56, 29-35.
Garg, H., Rani, M., & Sharma. S.P. (2013). Reliability analysis of the engineering systems using intuitionistic fuzzy set theory. Journal of Quality and Reliability Engineering, Article ID 943972, 10 pages.
Guo, R., Zhao R.Q., & Li, X. (2007). Reliability analysis based on scalar fuzzy variables. Economic Quality Control, 22(1), 55 – 70.
Guo, R., Zhao, R.Q., Guo, D., & Dunne T. (2007). Random fuzzy variable modeling on repairable system. Journal of Uncertain Systems, 1(3), 222-234.
Gupta, R.D., Kundu D. (1999a). Generalized exponential distributions. Australian and New Zealand Journal of Statistics, 41(2), 173 - 188.
Karpisek, Z., Stepanek, P., & Jurak, P. (2010). Weibull fuzzy probability distribution for reliability of concrete structures. Engineering Mechanics, 17(5/6), 363–372.
Mudholkar, G.S., Srivastava, D.K. (1993). Exponentiated Weibull family for analyzing bathtub failure rate data. IEEE Transactions on Reliability, 42, 299-302.
Pak, A., Parham Gh. A., & Saraj, M. (2013). Reliability estimation in Rayleigh distribution based on fuzzy lifetime data. International Journal of System Assurance Engineering and Management, published online August 2013.
Sarhan, A., & Kundu, D. (2009). Generalized linear failure rate distribution. Communications in Statistics - Theory and Methods, 38, 642 - 660.
Sarhan, A., & Zaindin, M. (2009). Modified Weibull distribution. Applied Sciences, 11, 123-136.
Surles, J.G., & Padgett, W.J. (2001). Inference for reliability and stress-strength for a scaled Burr Type X distribution. Lifetime Data Analysis, 7, 187-200.
Hammer, M. (2001). Application of fuzzy theory to electrical machine reliability.Zeszyty Naukowe. Elektryka/Politechnika ?l?ska, 177, 161-166.
Onisawa, T., & Kacprzyk, J. (1995). Reliability and safety analysis under fuzziness. Physica-Verlag Heidelberg.
Utkin, L. V. (1994). Knowledge based fuzzy reliability assessment. Microelectronics Reliability, 34(5), 863-874.
Utkin, L.V. (1994). Fuzzy reliability of repairable systems in the possibility context. Microelectron. Reliability, 34, 1865–1876.
Utkin, L.V., & Gurov, S.V. (1995). A general formal approach for fuzzy reliability analysis in the possibility context. Fuzzy Set and Systems, 83, 203-213.
Wu, H.-C. (2006). Fuzzy Bayesian system reliability assessment based on exponential distribution. Applied Mathematics Modeling, 30, 509–530.
Yao, J.S., Su, J.S., & Shih, T.S. (2008). Fuzzy system reliability analysis using triangular fuzzy numbers based on statistical data. Journal of information science and engineering, 24, 1521-1535.
Baloui Jamkhaneh, E. (2011). An Evaluation of the Systems Reliability Using Fuzzy Lifetime Distribution. Journal of Applied Mathematics, Islamic Azad University of Lahijan, 8(28), 73-80.
Baloui Jamkhaneh. E., & Nozari, A. (2012). Fuzzy System Reliability Analysis Based on Confidence Interval. Advanced Materials Research, 433, 4908-4914.
Baloui Jamkhaneh, E. (2014). Analyzing system reliability using fuzzy Weibull lifetime distribution. International Journal of Applied Operational Research, 4(1), 81-90.
Buckley, J.J. (2006). Fuzzy probability and statistics. Springer-Verlage Berlin Heidelberg.
Burr, I.W. (1942). Cumulative frequency distribution. Annals of Mathematical Statistics, 13, 215-232.
Cai, K.Y., Wen, C.Y. & Zhang, M.L. (1991). Fuzzy variables as a basic for a theory of fuzzy reliability in the possibility context. Fuzzy Set and Systems, 42, 145-172.
Cai, K.Y., Wen, C.Y. & Zhang, M.L. (1993). Fuzzy states as for a theory of fuzzy reliability. Microelectron Reliability, 33, 2253-2263.
Cai, K.Y. (1996). System failure engineering and fuzzy methodology. An introductory overview. Fuzzy Set and Systems, 83, 113-133.
Chen, C.H., Mon, L. (1993). Fuzzy system reliability analysis by interval of confidence. Fuzzy Set and Systems, 56, 29-35.
Garg, H., Rani, M., & Sharma. S.P. (2013). Reliability analysis of the engineering systems using intuitionistic fuzzy set theory. Journal of Quality and Reliability Engineering, Article ID 943972, 10 pages.
Guo, R., Zhao R.Q., & Li, X. (2007). Reliability analysis based on scalar fuzzy variables. Economic Quality Control, 22(1), 55 – 70.
Guo, R., Zhao, R.Q., Guo, D., & Dunne T. (2007). Random fuzzy variable modeling on repairable system. Journal of Uncertain Systems, 1(3), 222-234.
Gupta, R.D., Kundu D. (1999a). Generalized exponential distributions. Australian and New Zealand Journal of Statistics, 41(2), 173 - 188.
Karpisek, Z., Stepanek, P., & Jurak, P. (2010). Weibull fuzzy probability distribution for reliability of concrete structures. Engineering Mechanics, 17(5/6), 363–372.
Mudholkar, G.S., Srivastava, D.K. (1993). Exponentiated Weibull family for analyzing bathtub failure rate data. IEEE Transactions on Reliability, 42, 299-302.
Pak, A., Parham Gh. A., & Saraj, M. (2013). Reliability estimation in Rayleigh distribution based on fuzzy lifetime data. International Journal of System Assurance Engineering and Management, published online August 2013.
Sarhan, A., & Kundu, D. (2009). Generalized linear failure rate distribution. Communications in Statistics - Theory and Methods, 38, 642 - 660.
Sarhan, A., & Zaindin, M. (2009). Modified Weibull distribution. Applied Sciences, 11, 123-136.
Surles, J.G., & Padgett, W.J. (2001). Inference for reliability and stress-strength for a scaled Burr Type X distribution. Lifetime Data Analysis, 7, 187-200.
Hammer, M. (2001). Application of fuzzy theory to electrical machine reliability.Zeszyty Naukowe. Elektryka/Politechnika ?l?ska, 177, 161-166.
Onisawa, T., & Kacprzyk, J. (1995). Reliability and safety analysis under fuzziness. Physica-Verlag Heidelberg.
Utkin, L. V. (1994). Knowledge based fuzzy reliability assessment. Microelectronics Reliability, 34(5), 863-874.
Utkin, L.V. (1994). Fuzzy reliability of repairable systems in the possibility context. Microelectron. Reliability, 34, 1865–1876.
Utkin, L.V., & Gurov, S.V. (1995). A general formal approach for fuzzy reliability analysis in the possibility context. Fuzzy Set and Systems, 83, 203-213.
Wu, H.-C. (2006). Fuzzy Bayesian system reliability assessment based on exponential distribution. Applied Mathematics Modeling, 30, 509–530.
Yao, J.S., Su, J.S., & Shih, T.S. (2008). Fuzzy system reliability analysis using triangular fuzzy numbers based on statistical data. Journal of information science and engineering, 24, 1521-1535.