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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
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?
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON