عنوان مقاله [English]
In this research, using Markov model, general formula for calculating reliability and MTTF, which are the main engineering factors in quality in systems with redundancy of 1 of n, from two methods of solving differential equations and shortcut method (direct calculation of MTTF without the need for function Reliability is obtained by using transition matrices in the Markov model, which are sometimes briefly mentioned in the article. One of the remarkable results of this research is that the possibility of estimating parameters for any desired number of n has been facilitated. Also, using the obtained functions, the effect of increasing add-on items on improving reliability in these systems (with ready-to-serve and active modes and repairable and non-repairable components), along with factors such as repair rate and reliability of systems. Switching has been evaluated. Mathematica software has been used to perform calculations and data analysis.