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lean_factory - Results Page 20:11:29 Questions Being...

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a563dae6d5723a258925f401dfdc4a7a473b1225.xls : Results Page 12/06/2011 20:11:29 Page 1 of 3 Questions Being Addressed by this Spreadsheet 1. What is the expected number of completed cars per day? 2. For a given accumulator size, what is the probability that the downstream segment is starved? 3. For a given accumulator size, what is the probability that the upstream segment is blocked? 4. What are the performance characteristics (MTBF, MTTR, efficiency) of the segments? Key Assumptions 1. Stations modeled as bernoulli random variables; stations are i.i.d. 2. Segments modeled as binomial random variables. 3. Accumulator is modeled as a M/M/1/c queue where c is the accumulator size+1 4. Shaded cells denote user-specified inputs, unshaded cells denote final or intermediate outputs Upstream Segment Downstream Segment Explanation p(station failure) 0.0018 p(station failure) 0.0018 Probability that a station experiences a minor failure during a cycle E[# cycles until failure] 550 E[# cycles until failure] 550
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