TY  - JOUR
AU  - Haggag, M. Y. 
PY  - 2009
TI  - Cost Analysis of K-Out of-n Repairable System with Dependent Failure and Stand by Support Using Kolmogorov's Forward Equations Method
JF  - Journal of Mathematics and Statistics
VL  - 5
IS  - 4
DO  - 10.3844/jmssp.2009.401.407
UR  - https://thescipub.com/abstract/jmssp.2009.401.407
AB  - Problem statement: Many authors have studied k-out of-n repairable system with dependent failure and standby support. The question was raised whether the repair and standby units support increase the reliability of the system. Determine the efficiency of repair and standby support on the reliability of the system. Approach: In this study the statistical analysis of k-out of-n repairable system with dependent failure and standby support were discussed. Several reliability characteristics are obtained by using Kolmogorov's forward equations method. After the model is developed a particular case study is discussed to validate the theoretical results, a numerical computation are derived. Tables and graphs have been also given in the end. Results: The results indicated that the system with repair and standby support is better than the system without repair and standby support. Conclusion: These results indicated that the system with repair of its failed parts and standby redundancy facility increased the reliability of the system.