## Stochastic Repair and Replacement with a single repair channel

 AUTHOR(S): Mohammed A. Hajeeh TITLE Stochastic Repair and Replacement with a single repair channel PDF ABSTRACT This paper is part of a research project aimed at improving the mechanical properties and microstructural of the grinding ball. In this study, we are interested in the numerical analysis by the finite difference method of quenching to examine the influence of quenching media on cooling rate and hardness. The numerical calculation was carried out using the FORTRAN language. The study is carried out on two alloy steels C32 and C70, simulating cooling curves from TTT diagrams. The results obtained for different cooling modes show that the material structure, the cooling rate and the hardness depend on the cooling medium KEYWORDS repairable models, imperfect, availability, exponential distribution REFERENCES [1] Abdel-Hameed, M. (1978). Inspection and maintenance policies of devices subjected to deterioration. Advances in Applied Probability 10, 509-512. [2] Brown M. & Proschan F. (1983). Imperfect repair, Journal of Applied Probability, 20: 85lā859. [3] Beichelt F. (1997). Maintenance policies under stochastic repair cost development. Economic Quality Control 12, 173-181. [4] Moustafa, M.S. (1998). Transient analysis of reliability with and without repair for K-out-of-N: G systems with M failure modes. Reliability Engineering and System Safety 59, 317-320. [5] Zhao, M. (1994). Availability for repairable components and series systems. IEEE Transactions on Reliability 43(2), 329-334. [6] Dimitrov B, Chukova S, Khalil Z. (2004). Warrantee costs: An age-dependent failure/repair model, Naval Research Logistics, 51, 959ā976. [7] Pan, R., Rigdon, S.E. (2009). Bayes inference for general repairable systems, Journal of Quality Technology, 41(1), 82-94 [8] Pandey, M., Zuo, M. J., Moghaddass R. & Tiwari, M.K.(2013). Selective maintenance for binary systems under imperfect repair, Reliability Engineering and System Safety,. 113, 42ā51. [9] El-Damcese, M. A. & Shama M. S. (2015) Reliability and availability analysis of a 2-state repairable system with two-types of failures, Eng. Math. Letters, 2, 1-9. [10] Nguyen, D. T., Dijoux, Y. & Mitra F. (2017). Analytical properties of an imperfect repair model and application in preventive maintenance scheduling, European Journal of Operational Research, Vol. 256, No. 2, 2017, pp. 439-453 Cite this paper Mohammed A. Hajeeh. (2017) Stochastic Repair and Replacement with a single repair channel. International Journal of Mathematical and Computational Methods, 2, Copyright Ā© 2017 Author(s) retain the copyright of this article.This article is published under the terms of the Creative Commons Attribution License 4.0