The city Postal Service office has announced that the customers will not wait more than five minutes on average, in line at the post office. They would like to know how many service windows should be kept open to keep this promise. Suppose the average service time is 6 minutes while the arrival rate is 15 customers per hour. Assume exponential service times and interarrival times. a) How many service windows should be kept open to maintain this new customer service policy? Assume the following values for Po given s servers: 3 4 Po 1/7 4/19 40/181 b) What is the expected number of people at the post office if they follow your recommendation?
The city Postal Service office has announced that the customers will not wait more than five minutes on average, in line at the post office. They would like to know how many service windows should be kept open to keep this promise. Suppose the average service time is 6 minutes while the arrival rate is 15 customers per hour. Assume exponential service times and interarrival times. a) How many service windows should be kept open to maintain this new customer service policy? Assume the following values for Po given s servers: 3 4 Po 1/7 4/19 40/181 b) What is the expected number of people at the post office if they follow your recommendation?
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 36PS
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Transcribed Image Text:The city Postal Service office has announced that the customers will not wait more than five
minutes on average, in line at the post office. They would like to know how many service
windows should be kept open to keep this promise. Suppose the average service time is 6
minutes while the arrival rate is 15 customers per hour. Assume exponential service times
and interarrival times.
a) How many service windows should be kept open to maintain this new customer service
policy? Assume the following values for Po given s servers:
s 2
Po 1/7 4/19 40/181
3
4
b) What is the expected number of people at the post office if they follow your
recommendation?
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