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# Write 250 words per each question and provide charts or graphs if necessary to support your answer.Source materials are from: Render, B., Stair Jr., R. M., & Hanna, M. E. (2012). Quantitative analysis for management (11th ed). Upper Saddle River, NJ: Prentice Hall. Question 1. Develop a solution to the Rockwell Electronics Corporation problem, describe the procedures you used to answer the problem and how this can be applied to quantitative analysis within an organization The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of ?=3 per day (approximately Poisson in nature). The crew can service an average of µ=8 machines per day, with a repair time distribution that resembles the exponential distribution. What is the utilization rate of this service system? What is the average downtime for a machine that is broken? How many machines are waiting to be serviced at any given time? What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four? Question 2. Compare and contrast the differences between a single-phase queuing system and multiphase queuing system. Describe your answer in full. Question 3. Using the multichannel queuing model with Poisson Arrivals and Exponential Service Times (M/M/m), describe its characteristics, and how it applies to the overall systemic function.

Write 250 words per each question and provide charts or graphs if necessary to support your answer.Source materials are from: Render, B., Stair Jr., R. M., & Hanna, M. E. (2012). Quantitative analysis for management (11th ed). Upper Saddle River, NJ: Prentice Hall.

Question 1. Develop a solution to the Rockwell Electronics Corporation problem, describe the procedures you used to answer the problem and how this can be applied to quantitative analysis within an organization

The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of ?=3 per day (approximately Poisson in nature). The crew can service an average of µ=8 machines per day, with a repair time distribution that resembles the exponential distribution.

What is the utilization rate of this service system?
What is the average downtime for a machine that is broken?
How many machines are waiting to be serviced at any given time?
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?

Question 2. Compare and contrast the differences between a single-phase queuing system and multiphase queuing system. Describe your answer in full.

Question 3. Using the multichannel queuing model with Poisson Arrivals and Exponential Service Times (M/M/m), describe its characteristics, and how it applies to the overall systemic function.

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