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1. Write a (deterministic) simulation program for the G/G/1 queue where the n -th interarrival times equals 5
 

Summary: Exercises
1. Write a (deterministic) simulation program for the G/G/1 queue where
the n - th interarrival times equals 5
4
(1 + sin( + n)) and the service
time of the n - th customer equals 1 + sin(n). Output the waiting
time of the 20 - th customer for several choices of , and . Include
in the program an event list (data structure) and an event handler
(procedure).
2. Write a program to examine the random number generator of your
computer language. For instance, look at the correlation coefficient be-
tween the n-th and (n+k)-th draw. Furthermore, use this generator
to find realizations of exponentially distributed random variables and
check the memoryless property of the exponential distribution.
3. Write a simulation program for the G/G/1 queue where the n - th
interarrival times equals 5
4
(1 +sin(+ n)) and the service time of the
n - th customer is exponentially distributed with mean 1. Output the
mean waiting time of the 20 - th customer for several choices of and

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering