Question

Problem 2: Consider an assembly of 3 major components: electromotor (EM), pump (P/P) and valve (V/V). The EM and pump come always together. EM P/P V/v Valve is separate We buy the EM-Pump assembly from Germany, China, and USA. We run the German set and the others from USA and China 'as backup. The reliability given by the manufacturer from these countries are: Germany: 0.95 for each of the EM and the Pump! USA: 0.90 for each of the EM and the Pump China: 0.85 for each of the EM and the Pump We buy 2 valves with the same reliability (0.95). One valve is the backup for the other valve. Draw the diagram and calculate the reliability of our system that has 8 parts (one method is enough).

Answer 1

solution as per attached image.

EM + PP Germany anyt Rs HEM + PP USA Rg (vw) Turi Rs (Em+PP) x 0.999 2x 0.9978 Emtee Chaina Rs 0.9962 "R, 0.955 Riro.art FR2 0.90 Rag og R3 0.857 Rs (Emapp) 1-(1-R) (1-RJ (1-Rg) (1-0.95 (1-0-40) (1-0285 0.05 0.1 x 0.15 0.999.2 Rs (w) (1-0.418) (1.019) 1 0.9975