You\'re the operations manager at an urban hopsital and you\'re evaluating a pro

Question

You're the operations manager at an urban hopsital and you're evaluating a proposal from a hopsital equipment company that manufactures oxygen delivery systems. The company is developing a new manifold that they promise will operate for two years before any possibility of a breakdown. As delivering oxygen 24/7 is a requirement, you've asked the company for the testing data on these manifolds. As they want your business they provided the following data on 10 manifolds that went through accelerated testing. The results are below one unit failed at 356 operating hours one unit failed at 854 operating hours one unit failed at 3466 operating hours one unit failed at 5260 operating hours one unit failed at 13760 operating hours five units successfully competed 20,000 operating hours. a. determine the failure rate of this manifold. b. determine the Mean Time To Failure of this manifold. C.Based on the results, are the company's claims about the manifold operating for two years correct?

Explanation / Answer

(a)

Total failed units = 5

Total item-hours of testing = (356+854+3466+5260+13760+5*20000) item-hours = 123696 item-hours

Failure rate () = Total failed units / Total item-hours of testing = 5 / 12396 = 0.000040

(b)

MTTF = 1/ = 24739 hours

(c)

With a 24/7 requirement, 2 years comprises of 365 x 24 x 2 = 17520 hours. Since MTTF is greater than this time, the company's claim is proper.

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