Abstract
In this paper we review some of the recent results on the reliability of the linearly ordered consecutive-k-out-of-n:F systems. We also examine repairable systems of this type and propose new models for their static and dynamic optimization. Potential applications are also discussed.
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References
Bollinger, R.C., 1982, Direct Computation for Consecutive-k-out-of-n:F Systems, IEEE Transactions on Reliability, Vol. R-31, No 5, 444–446.
Botsaris, C.A. and Fakinos, D., 1986, Analysis and Optimization of a Loss Service System with Servers Subject to Random Breakdowns, Journal of Information and Optimization Sciences, Vol. 7, No 2, 177–185.
Botsaris, C.A. and Tzafestas, S.G. 1984, Optimal Design of a Stanbdy System with Repair Facilities Subject to Breakdown, in Methods and Applications of Measurement and Control, Eds. S.G. Tzafestas and M.H. Hanza, Vol. 2, 628–631 (Anaheim: Acta Press).
Botsaris, C.A. and Tzafestas, S.G., 1985, Reliability Analysis and Optimization of a Repairable Standby System with Modular Items, Int. J. Systems Sci., Vo. 10, No 3. 313–323.
Chiang, D.T. and Niu. S., 1981, Reliability of Consecutive-k-out-of-n:F System, IEEE Transactions on Reliability, Vol. R-30, No 1, 87–89.
Kozlov, B.A. and Ushakov, I.A., 1970, Reliability Hand-book (New York: Rinehart and Wilson).
Philippou, A.N., 1983, Poisson and Compound Poisson Distributions of Order k and Some of Their Properties (in Russian, English summary), Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im V.A. Steklovą AN SSSR 130, 175–180.
Philippou, A.N., 1984, The Negative Binomial Distribution of Order k and Some of Its Properties, Biometrical Journal 26, No. 7, 789–794.
Philippou, A.N., 1986, Distributions and Fibonacci Polynomials of Order k, Longest Runs, and Reliability of Consecutive-k-out-of-n:F Systems, in Fibonacci Numbers and Their Applications, Eds. A.N. Philippou, G.E. Bergum and A.F. Horadam, 203–227, (Dordrecht: D.Reidel).
Philippou, A.N., Georghiou, C. and Philippou, G.N., 1983a, A Generalized Geometric Distribution and Some of Its Properties, Statistics and Probability Letters, Vol. 1, No. 4, 171–175.
Philippou, A.N., Georghiou, C. and Philippou, G.N., 1983b, Fibonacci Polynomials of Order k, Multinomial Expansions, and Probability, International Journal of Mathematics and Mathematical Sciences, Vol. 6, No 3, 545–550.
Philippou, A.N., Georghiou, C. and Philippou, G.N., 1985, Fibonacci-Type Polynomials of Order k with Probability Applications, The Fibonacci Quarterly, Vol. 23, No. 2, 100–105.
Philippou, A.N. and Makri, F.S., 1985, Longest Success Runs and Fibonacci-Type Polynomials, The Fibonacci Quarterly, Vol. 23, No 4, 338–346.
Philippou, A.N. and Muwafi, A.A., 1982, Waiting for the kth Consecutive Success and the Fibonacci Sequence of order k, The Fibonacci Quarterly 20, No 1, 28–32.
Shanthikumar, G.J., 1982, Recursive Algorithm to Evaluate the Reliability of a Consecutive-k-out-of-n:F System, IEEE Transactions on Reliability, Vol. R-31, No 5, 442–443.
Tzafestas, S.G., 1982, Optimal Control Policies in System Reliability and Maintenance, in Optimization and Control of Dynamic Operational Research Models, Ed.S.G. Tzafestas (Amsterdam: North Holland).
Tzafestas, S.G. and Botsaris, C.A., 1984, Optimal Maintenance Policies for Modular Standby Systems, in Lecture Notes in Control and Information Sciences, Ed. P. Thoft. Christenseh, Vol. 59, 618–630 (Berlin: Springer-Verlag).
Tzafestas, S.G. and Botsaris, C.A., 1986, Reliability Measures and Optimal Maintenance Policies for a Standby System with Repair Facilities Subject to Breakdown, Journal of the Franklin Institute, Vol. 321, No 6, 309–323.
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© 1987 D. Reidel Publishing Company
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Tzafestas, S., Botsaris, C., Philippou, A. (1987). New Results on the Analysis and Optimization of A k-Out-of-n:F System with Repair. In: Tzafestas, S., Singh, M., Schmidt, G. (eds) System Fault Diagnostics, Reliability and Related Knowledge-Based Approaches. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3929-5_15
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DOI: https://doi.org/10.1007/978-94-009-3929-5_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8243-3
Online ISBN: 978-94-009-3929-5
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