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Unformatted text preview: OR Models Problem Set #7 Fall Semester 2011 No Due Date In each problem, “formulate as a Markov chain” means that you should (i) clearly define the states and (ii) rate-transition diagram. For the following questions, use the “Markov Processes (CTMC)” Add-In, along with your own calculations, to answer the following questions. You should also formulate the balance equations. 1. A manufacturing line is being designed with the idea that it should be operational with only minimal maintenance for three weeks. (Every three weeks, significant preventative maintenance work is done by a “visiting” maintenance engineer.) A physically small but particularly important subsystem of the line has an exponentially distributed failure time with a mean of five weeks. Assume that the subsystem is the only part of the line that can fail. (a) What is the line’s reliability, i.e., what is the probability that the line remains operational for the entire three weeks?...
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- Fall '08
- Probability theory, Markov chain, Failure rate