Queue Simulation Project - Computing for Mathematicians | MATH 340, Study Guides, Projects, Research of Mathematics

Download Queue Simulation Project - Computing for Mathematicians | MATH 340 and more Study Guides, Projects, Research Mathematics in PDF only on Docsity! Queue Simulation Project 1) Write a program to simulate the time 30 customers wait in the checkout line at a grocery store. Assume that there is only one checkout line, and that it starts empty (the store just opened!). Assume also that a new customer arrives at the checkout counter every 3.5 minutes and that the checkout process is approximately normally distributed with an average of 3.7 minutes and a standard deviation of 0.8 minutes. Maple can do this for you (with the negligible possibility of getting a negative number): rn:=3.7 + 0.8*stats[random,normald](1) How long does it take between t=0 and the 30th customer leaving? Repeat the simulation a few times to get a sense of the variability in the times. Report the average waiting time and the longest waiting time. 2) Use parts of the program in part 1) as a subroutine and use it in a program that repeats the simulation n times. Each run should produce an average wait time. Calculate the mean and the standard deviation of the n average wait times. Run the program for n=20 and n=100. Do the results change much with different values of n?