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Customers arrive in a government office with three service windows at a rate of 10 per hour. Transactions in each service window takes 15 minutes, on average. Moreover, customers would only be willing to wait 30 minutes, on average, in line or they would leave the office without being served. Assume that the number of customers in the office at any given time follows a birth and death process. Find the expected amount of time (in hours) needed for the office to go from having 2 customers to 5 customers.

Customers arrive in a government office with three service windows at a rate of 10 per hour. Transactions in each service window takes 15 minutes, on average. Moreover, customers would only be willing to wait 30 minutes, on average, in line or they would leave the office without being served. Assume that the number of customers in the office at any given time follows a birth and death process. Find the expected amount of time (in hours) needed for the office to go from having 2 customers to 5 customers.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Customers arrive in a government office with three service windows at a rate of 10 per hour. Transactions in each service window takes 15 minutes, on average. Moreover, customers would only be willing to wait 30 minutes, on average, in line or they would leave the office without being served. Assume that the number of customers in the office at any given time follows a birth and death process. Find the expected amount of time (in hours) needed for the office to go from having 2 customers to 5 customers.
Transcribed Image Text:Customers arrive in a government office with three service windows at a rate of 10 per hour. Transactions in each service window takes 15 minutes, on average. Moreover, customers would only be willing to wait 30 minutes, on average, in line or they would leave the office without being served. Assume that the number of customers in the office at any given time follows a birth and death process. Find the expected amount of time (in hours) needed for the office to go from having 2 customers to 5 customers.
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