Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Patients arrive to a small hospital emergency room according to a Poisson process with an average rate of 1.5 per hour. Because service times for these patients vary considerably, the service times are accurately described by an exponential distribution. Suppose that the average service time is 26 minutes. If there is only a single doctor working at any point in time, find the following measures of service for this emergency room:a. The expected total time in the system.b. The expected time each customer has to wait.c. The expected number of patients waiting for service.d. If the emergency room has a triage nurse who gives priority to more serious conditions, explain qualitatively how that would change your results to parts a, b, and c. What additional information would one need to know to analyze a system like this?
Patients arrive at your emergency room at a rate of 2 per hour. The average service time per patient is 20 minutes. In other words, you treat an average of 3 patients per hour if patients come in that fast. 1. To proceed with your analysis, what do you assume about the distributions of arrivals and service times? 2. What is the average number of patients in the ER (waiting or being served?) (Use formulae on p.21-22) 3. What is the average length of time that patients spend from the time they enter the ER to the time they leave?
Patients arrive to a small hospital emergency room according to a Poisson process with an average rate of 1.5 per hour. Because service times for these patients vary considerably, the service times are accurately described by an exponential distribution. Suppose that the average service time is 26 minutes. If there is only a single doctor working at any point in time, find the following measures of service for this emergency room: The expected total time in the system. b. The expected time each customer has to wait. c. The expected number of patients waiting for service. d. If the emergency room has a triage nurse who gives priority to more serious conditions, explain qualitatively how that would change your results to parts a, b, and c. What additional information would one need to know to analyze a system like this?
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