5/28/2016
IE 519 Simulation
Homework 1
Consider a single server system where the times between customer arrivals are random
but the service time is deterministic. The service time is 2 hours and the following
measurements have been made for historical times between arrivals (in hours):
0.4 0.6 0.5 1.9 7.3 6.8 0.9 0.3 0.4 0.0 5.8 1.4 5.7 0.4 2.1 0.7 1.9 0.9 1.9 0.8
1. Fit the following input models for the arrival process:
a. A theoretical distribution of you choice
b. A beta distribution
c. An empirical distribution
Evaluation how appropriate each model is for this application.
2. Using each of the three input models, simulate the system for at least 10 arrivals.
Make sure you clearly show the simulation clock and the event list. Based on your
simulation, then plot the sample paths and calculate the average number of
customers in the system. You can do this in Excel or write your own code. You
can use the RNG in Excel for unit uniform numbers, but you should use your own
implementation of an appropriate algorithm for generating random variates for
each of the input model (show calculations).
Due date: February 22, 2007