Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter D, Problem 8P

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• D.8 Virginia’s Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on average λ = 3 per 8-hour workday (approximately Poisson in nature). The crew can service an average of μ = 8 machines per workday, with a repair time distribution that resembles the exponential distribution.

  1. a. What is the utilization rate of this service system?
  2. b. What is the average downtime for a broken machine?
  3. c. How many machines are waiting to be serviced at any given time?
  4. d. What is the probability that more than 1 machine is in the system? The probability that more than 2 are broken and waiting to be repaired or being serviced? More than 3? More than 4?
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