IEOR 4404
Assignment #6
Simulation
March 3, 2010
Prof. Mariana OlveraCravioto
Page 1 of 1
Assignment #6
– due March 12th, 2010
1. Suppose in the insurance risk model presented in Lecture 11 that, conditional on the event
that the firm’s capital goes negative before time
T
, we are also interested in the time at
which it becomes negative and the amount of the shortfall. Explain how we an use the given
simulation methodology to obtain relevant data.
2. Suppose in the twoserver parallel model from Lecture 11 that each server has its own queue,
and that upon arrival a customer joins the shortest one. An arrival finding both queues at
the same size (or finding both servers empty) goes to server 1.
(a) Determine appropriate variables and events to analyze this model and give the updating
procedure.
Suppose that
G
1
is the exponential distribution with rate 4 and
G
2
is exponential with rate
3. Suppose that the arrivals are according to a Poisson process with rate 6. Find
(b) the average time spent in the system by the first 1000 customers.
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 Spring '10
 C
 Poisson Distribution, Probability theory, Exponential distribution, Poisson process, Prof. Mariana OlveraCravioto

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