Patients arrive to a small hospital emergency room according to a Poisson process with anaverage rate of 1.5 per hour. Because service times for these patients vary considerably, theservice times are accurately described by an exponential distribution. Suppose that the averageservice time is 26 minutes. If there is only a single doctor working at any point in time, find thefollowing 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. Whatadditional information would one need to know to analyze a system like this?

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Answered: The expected total time in the system.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?
Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of 4.0 per hour. It will take Benny an average of 8 minutes to give a haircut. Based on these figures, find the following: a. The average number of customers waiting. Note: Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places. Average number of customers waiting b. The average time a customer waits. Note: Round your answer to 2 decimal places. Average waiting time minutes
. The School of Dentistry at Penn provides general dental care to residents of Philadelphiaon a walk-in basis. Upon arrival, customers first provide health-relevant informationsuch as personal health records and insurance provider to a receptionist who entersthe information into the computer system for the dentist to see. A dental assistant thentakes an X-ray of the patient. A dentist then performs the checkup and discusses anyissues with the patient. Depending on the day, patients might have to wait at any of theseresources. This concludes the process. Draw a process flow diagram of this process.
130) please please help me with this! Owners of a local restaurant are concerned about their ability to provide quality service as they continue to grow and attract more customers. They have collected data from Friday and Saturday nights, their busiest times of the week. During these time periods, about 106 customers arrive per hour for service. Given the number of tables and chairs, and the typical time it takes to serve a customer, the owners estimate they can serve, on average, about 162 customers per hour. Use Exhibit 4.6. Furthermore, the owners anticipate that in one year their demand will double as long as they can provide good service to their customers. a. Currently, during these nights, are they in the zone of service, the critical zone, or the zone of nonservice? EXIBIT IS THE PICTURE ADDED O Critical zone O Zone of service O Zone of nonservice b. Next year, after demand doubles, what must the service capacity increase to (at minimum) to stay out of the critical zone?Note:…
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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. а. с.