Module 3 Queueing and Waiting Times_final

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Rochester Institute of Technology *

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Industrial Engineering

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Apr 3, 2024

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Module 3: Queueing and Waiting Times Instructions 1. You will do this homework on your own. 2. Read each of the two scenarios and answer the questions related to each. 3. This submission should be neatly typed and submitted as a pdf through the appropriate place in Blackboard. 4. Solutions will be posted in Blackboard after grading is complete . 5. The rubric for all problem sets is included in the course syllabus. 6. Prerequisite: • Read Bleustein, et.al. (2014). Wait times, patient satisfaction scores, and the perception of care. American Journal of Managed Care , 20 (5), 393–400 (eR) • Read Moore, J. (2012). Decision modeling with Microsoft Excel . Prentice Hall. Chapter 15: Queuing (eR) In this assignment, you will apply basic lessons on queues in the contexts of single-server systems and multiserver systems in two scenarios. Scenario 1: Squidward University Health Service Squidward UHS runs a walk-in clinic for students. Students arrive at a rate of 10 per hour. The clinic staffs one physician’s assistant and an attending physician at the same time. The PA takes 15 minutes to handle each case and the attending takes 6. Currently the PA sees 30% of all patients and the attending sees 70%. Average waiting times are reported, which combine these results. You Need to Clearly Answer the Following Questions: 1. What is the average waiting time for this clinic, assuming that all times are exponentially distributed and no patient needs to see both providers? 2. Since the PA is not authorized to fully process some conditions, assume that one patient per hour needs to see the PA and then wait again to see the attending. What is the average waiting time for this setting? Scenario 2: Oh-Have-Mercy Hospital Mercy hospital wants to improve the performance of a radiology department. Observation shows that doctors submit an average of 18 x-ray films per hour for examination by radiologists. Because of complications that vary from case to case, the radiologists’ processing time has a mean of 30 minutes and appears to come from an exponential distribution. To add and equip an additional radiologist will cost $100 per hour. The doctors want the reports done within 40 minutes of submission (on average).
Last updated on 29 July 2019 You Need to Clearly Answer the Following Questions: 1. Determine the minimum number of equipped radiologists the hospital needs to meet this target, and compute the hourly cost. 2. Consider the option to use new equipment that reduces average processing time to 20 minutes but raises costs to $150 per hour. Given the same time targets how much will this save the hospital in dollars per hour?
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