M/M/1 Queuing Model Write a function that prompts the user for the arrival rate (λ) and service rate(µ) for a single server infinite capacity queuing model and then does the following: Calculate p=λ/μ If p>1, print a message to the user and tell them no steady state solution exists, otherwise do the following: Calculate the expected number in the system L=p/(1-p) Calculate the average time a customer spends in the system W=L/X And calculate the probability that the server is idle π_0=1-P Write the final results in the worksheet Sample Problems in the following form (if you chose to do this in VBA. If you do it in Python just write the output to the screen) Write in Python

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section: Chapter Questions
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M/M/1 Queuing Model Write a function
that prompts the user for the arrival rate (A)
and service rate(u) for a single server
infinite capacity queuing model and then
does the following: Calculate p=λ/μ If p>1,
print a message to the user and tell them
no steady state solution exists, otherwise
do the following: Calculate the expected
number in the system L=p/(1-p) Calculate
the average time a customer spends in the
system W=L/A And calculate the probability
that the server is idle π_0=1-p Write the
final results in the worksheet Sample
Problems in the following form (if you
chose to do this in VBA. If you do it in
Python just write the output to the screen)
Write in Python
Transcribed Image Text:M/M/1 Queuing Model Write a function that prompts the user for the arrival rate (A) and service rate(u) for a single server infinite capacity queuing model and then does the following: Calculate p=λ/μ If p>1, print a message to the user and tell them no steady state solution exists, otherwise do the following: Calculate the expected number in the system L=p/(1-p) Calculate the average time a customer spends in the system W=L/A And calculate the probability that the server is idle π_0=1-p Write the final results in the worksheet Sample Problems in the following form (if you chose to do this in VBA. If you do it in Python just write the output to the screen) Write in Python
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