IEOR 4404Assignment #6SimulationMarch 3, 2010Prof. Mariana Olvera-CraviotoPage 1 of 1Assignment #6– due March 12th, 20101. Suppose in the insurance risk model presented in Lecture 11 that, conditional on the eventthat the firm’s capital goes negative before timeT, we are also interested in the time atwhich it becomes negative and the amount of the shortfall. Explain how we an use the givensimulation methodology to obtain relevant data.2. Suppose in the two-server 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 atthe same size (or finding both servers empty) goes to server 1.(a) Determine appropriate variables and events to analyze this model and give the updatingprocedure.Suppose thatG1is the exponential distribution with rate 4 andG2is exponential with rate3. 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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