Question

5. A type of pump used in reactors at a chemical processing plant operates under severe conditions and experiences frequent failures. A particular site uses five reactors which, on delivery, were fitted with new pumps. There is one pump per reactor: When a pump fails, it is returned to the manufacturer in exchange for a reconditioned unit. The replacement pumps are claimed to be 'good as new'. The reactors have been operating concurrently for 2750 h since the plant was commissioned, with the following pump failure history Reactor 1 - at 932, 1374 and 1997 h. Reactor 2-at 1566, 2122 and 2456h. Reactor 3 - at 1781 h Reactor 4 - at 1309, 1652, 2337 and 2595 h. Reactor 5-at 1270 and 1928 h. a Calculate the Laplace statistic (Eq. 2.46) describing the behaviour of the total population of pumps as a point process. Estimate Weibull parameters for both new and reconditioned pumps. b manu facturen light of vour answers to (a) and (b), comment on the claim made by the pump

Answer 1

Answer