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N. B. Khoolenjani and O. Chatrabgoun

. and Whisenand, C. W. (1973). Best linear estimator of the parameter of the Rayleigh distribution-Part I: Small sample theory for censored order statistics. IEEE Transactions on Reliability, 22, 27-34. Gebhardt, J., Gil M.A. and Kruse R., (1998). Fuzzy set-theoretic methods in statistics, in: R. Slowinski(Ed.), Fuzzy Sets in Decision Analysis, Operations Research and Statistics, Kluwer Academic Publishers, Boston, pp.311-347. Huang, H., Zuo, M. and Sun, Z., (2006). Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets and Systems, 157

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S.O. Pyskunov, Yu.V. Maksimyk and V.V. Valer

1 Introduction Structural elements of responsible objects function often under long-term static or cyclic force loading. The process of creep or fatigue, accompanied by the gradual accumulation of scattered damage, the formation and growth of macroscopic defects (fracture zones) are occurs under such a loading conditions. This problem, similarly as well as other aspects of reliability analysis [ 1 , 2 , 5 ], is very important for a reliable determination of long-term strength and lifetime. A description of above mentioned processes, which took the name

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Adil Rashid, Tariq Rashid Jan, Akhtar Hussain Bhat and Z. Ahmad

References [1] Adamidis, K., and Loukas, S. (1998). A lifetime distribution with decreasing failure rate. Journal of Statistics & Probability Letters, 39, 35-42. [2] Adil, R., Zahoor, A., and Jan, T.R. (2016). A new count data model with application in genetics and ecology. Electronic Journal of Applied Statistical Analysis, 9(1), 213-226 [3] Adil, R., Zahoor, A., and Jan, T.R. (2017). Complementary compound Lindley power series distribution with application. Journal of Reliability and Statistical Studies, 10

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Kristal K. Trejo, Julio B. Clempner and Alexander S. Poznyak

-29. Clempner, J.B. and Poznyak, A.S. (2011). Convergence method, properties and computational complexity for Lyapunov games, International Journal of Applied Mathematics and Computer Science 21(2): 349-361, DOI: 10.2478/v10006-011-0026-x. Clempner, J.B. and Poznyak, A.S. (2014). Simple computing of the customer lifetime value: A fixed local-optimal policy approach, Journal of Systems Science and Systems Engineering 23(4): 439-459. De Fraja, G. and Delbono, F. (1990 ). Game theoretic models of mixed oligopoly, Journal of Economic Surveys 4

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Kai-Uwe Dettmann and Dirk Söffker

References Banjevic, D. (2009). Remaining useful life in theory and practice, Metrika 69(2-3): 337-349. Bebbington, M., Lai, C.-D. and Zitikis, R. (2007). A flexible weibull extension, Reliability Engineering & System Safety 92(6): 719-726. Castillo, E. and FernéaAndez-Canteli, A. (2006). A parametric lifetime model for the prediction of high-cycle fatigue based on stress level and amplitude, Fatigue & Fracture of Engineering Materials & Structures 29(12): 1031

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Ivan Atencia

-38, (in Russian). Milovanova, T.A. and Pechinkin, A.V. (2013). Stationary characteristics of the queueing system with LIFO service, probabilistic priority, and hysteric policy, Informatika Primenenia 7(1): 22-35, (in Russian). Moreno, P. (2006). A discrete-time retrial queue with unreliable server and general service lifetime, Journal of Mathematical Sciences 132(5): 643-655. Oliver, C.I. and Olubukola, A.I. (2014). M/M/1 multiple vacation queueing systems with differentiated vacations, Modelling and Simulation in

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Fatemeh Karimi Pour, Vicenç Puig and Carlos Ocampo-Martinez

, Technische Universität Berlin, Berlin. Kwakernaak, H. and Sivan, R. (1972). Linear Optimal Control Systems, Vol. 1, Wiley, New York, NY. Lee, Y.L. (2005). Fatigue Testing and Analysis: Theory and Practice, Vol. 13, Butterworth-Heinemann, Oxford. Łobos, E. and Momot, M. (2002). Reliability design of complex systems by minimizing the lifetime variance, International Journal of Applied Mathematics and Computer Science 12(4): 553-557. Marin, J.C., Barroso, A., Paris, F. and Canas, J. (2008). Study of damage and

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Maik Leska, Harald Aschemann, Michael Melzer and Michael Meinert

. and Weber, C. (2012). Ageing of electrochemical double layer capacitors, Journal of Power Sources 203: 262-273. Bohlen, O., Kowal, J. and Sauer, D.U. (2007a). Ageing behaviour of electrochemical double layer capacitors. Part I: Experimental study and ageing model, Journal of Power Sources 172(1): 468-475. Bohlen, O., Kowal, J. and Sauer, D.U. (2007b). Ageing behaviour of electrochemical double layer capacitors. Part II: Lifetime simulation model for dynamic applications, Journal of Power Sources 173(1): 626-632. Brahma

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Juan M. Grosso, Carlos Ocampo-Martinez and Vicenç Puig

lifetime consumption, IEEE Transactions on Power Systems 17 (1): 186–191. Gertsbakh, I. (2010). Reliability Theory: With Applications to Preventive Maintenance , Springer, Berlin. Goetschalckx, M. (2011). Advanced supply chain models, in F. Hillier and C. Price (Eds.), Supply Chain Engineering , International Series in Operations Research & Management Science, Vol. 161, Springer US, New York, NY, pp. 615–670. Gorjian, N., Ma, L., Mittinty, M., Yarlagadda, P. and Sun, Y. (2009). A review on degradation models in reliability analysis, 4th World

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Jing Zhang, Shu-Ming Zhou, Li Xu, Wei Wu and Xiucai Ye

Information Security 5(10): 24-29. Zhao, Y., Wu, J., Li, F. and Lu, S. (2012). On maximizing the lifetime of wireless sensor networks using virtual backbone scheduling, IEEE Transactions on Parallel and Distributed Systems 23(8): 1528-1535. Zhu,W.T., Xiang, Y., Zhou, J.D., Deng, R.H. and Bao, F. (2011). Secure localization with attack detection in wireless sensor networks, International Journal of Information Security 10(3): 155-171. Zou, F., Wang, Y., Xu, X.H., Li, X., Du, H., Wan, P. and Wu, W. (2011). New approximations for