S admissible to work with the asymptotic expressions with rising variety of the order of the expansion inside the Taylor series in those instances when it is actually not workable to get expressions for the steady-state probabilities of the technique states by precise formulas. Ultimately, the simulation modeling from the technique has been carried out. The elaborated simulation strategy permits expansion on the area of Thiamphenicol glycinate Cancer analytical study within the case of nonexponential distributions of elements’ uptime and repair time of failed elements. Numerical analysis showed that the simulation model approximates the mathematical model of the program properly, and therefore is usually applied in circumstances when the AB928 Biological Activity system uptime distribution is general independent. Furthermore, reliability function was constructed.Author Contributions: Conceptualization, H.G.K.H. and D.K.; methodology, D.K.; software, H.G.K.H.; validation, H.G.K.H. and D.K.; formal analysis, D.K.; investigation, H.G.K.H. and D.K.; writing–original draft preparation, H.G.K.H.; writing–review and editing, D.K.; visualization, H.G.K.H.; supervision, D.K.; project administration, D.K.; funding acquisition, D.K. All authors have read and agreed towards the published version on the manuscript. Funding: This paper has been supported by the RUDN University Strategic Academic Leadership System and funded by RFBR as outlined by the study project No. 20-37-90137 (recipient Dmitry Kozyrev, formal analysis, validation; and recipient H.G.K. Houankpo, methodology and numerical evaluation). Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. Acknowledgments: The authors express their gratitude towards the referees for beneficial ideas that improved the high quality on the paper. Conflicts of Interest: The authors declare no conflict of interest.Mathematics 2021, 9,14 ofAppendix AAlgorithm A1. The simulation pseudocode for the technique GI2 /GI/1 Start array r[]: = [0,0,0]; / / multi-dimensional array containing results, k-step of the main cycle double t: = 0.0; // time clock initialization int i: = 0; j: =0; // system state variables double tnextfail : = 0.0; // variable in which time until the subsequent element failure is stored double tnextrepair : = 0.0; // variable in which time is stored till the subsequent repair is completed int k: = 1; // counter of iterations in the most important loop s[]: = rf_GI(1,i); // generation of an arbitrary random vector s- time for you to the first event (failure) sr[]: = rf_GI(1,(x)); // generation of an arbitrary random variable sr-time of repair of the failed element) though t do if i == 0 then s[i 1]: = rf_GI(1,(i1)); tnextrepair : = ; j: = j 1;t: = t_nextfail; end else i == 1 then else if (i – 1) == 0 then s[i 1]: = rf_GI(1,(i1)); sr[i]: = rf_GI(1,”(x)”); tnextfail : = t s[i 1]; tnextrepair : = t sr[i]; if tnextfail tnextrepair then j: = j 1; t: = tnextfail ; else j: = j-1; t: = tnextrepair ; end else if (i – 1) == N then s[i 1]: = rf_GI(1,(i)); sr[i 1]: = rf_GI(1,”(x)”); tnextfail : = t s[i 1]; tnextrepair : = t sr[i 1]; if tnextfail tnextrepair then j: = j 1; t: = tnextfail ; else j: = j-1; t: = tnextrepair ; finish end else i == N then tnextfail : = ; j: = j – 1; t: = tnextrepair ; end if t T then t = T end r[,k]: = [t,i,j]; i: = j; k: = k 1; end do Calculate estimated sojourn time in each state i, (i = 0,1,2). Stationary probabilities are calculated as: pi = End1 NG NG j =(duration o f stay in i) T jMathematics 2021, 9,15 ofAppendix BAlgorithm A2. The simulation pseudocode for the.
