A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the average number of people waiting in line to get some information Find the average time a person seeking information spends in the system Find the expected time a person spends just waiting in line to have a question answered (time in queue) Assume that the information desk employee in problem 1 earn $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of the time spent waiting in line. Find the total expected costs over an 8-hour day
A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the average number of people waiting in line to get some information Find the average time a person seeking information spends in the system Find the expected time a person spends just waiting in line to have a question answered (time in queue) Assume that the information desk employee in problem 1 earn $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of the time spent waiting in line. Find the total expected costs over an 8-hour day
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes you answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed.
Find the average number of people waiting in line to get some information
Find the average time a person seeking information spends in the system
Find the expected time a person spends just waiting in line to have a question answered (time in queue)
Assume that the information desk employee in problem 1 earn $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of the time spent waiting in line. Find the total expected costs over an 8-hour day
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