Consider this situation: A manager is contemplating making changes to a single-server system that is expected to double the service rate, and still have just one server. (a). Would you (intuitively) think that doubling the service rate of a single-server system would cut the average waiting time in line in half? (b). For the sake of analysis, suppose the current system has an arrival rate of 8 customers per hour and a service rate of 10 customers per hour. If the service rate is doubled, what impact will that have on the average number waiting in line? (c). What are some managerial implications of your analysis?

Consider this situation: A manager is contemplating making changes to a single-server system that is expected to double the service rate, and still have just one server. (a). Would you (intuitively) think that doubling the service rate of a single-server system would cut the average waiting time in line in half? (b). For the sake of analysis, suppose the current system has an arrival rate of 8 customers per hour and a service rate of 10 customers per hour. If the service rate is doubled, what impact will that have on the average number waiting in line? (c). What are some managerial implications of your analysis?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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Consider this situation: A manager is contemplating making changes to a single-server system thatis expected to double the service rate, and still have just one server.a. Would you (intuitively) think that doubling the service rate of a single-server system would cutthe average waiting time in line in half?
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank
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