A production process contains a machine that deteriorates rapidly in both quality and output under heavy usage,
Question:
The process can be modeled as a Markov chain with its (one-step) transition matrix P given by
(a) Find the steady-state probabilities.
(b) If the costs of being in states 0, 1, 2, 3, are 0, $1,000, $3,000, and $6,000, respectively, what is the long-run expected average cost per day?
(c) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before it must be replaced).
Transcribed Image Text:
State 0 2 Condition Good as new Operable-minimum deterioration Operable-major deterioration Inoperable and replaced by a good-as-new machine 3-16 18-20 2-16-8 120 -| 78 34 0 0 0 0 0 0 a-0123
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a 0 0154 1 0538 2 0154 and 3 0154 b C ...View the full answer
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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