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10SimHw6 - IEOR 4404 Simulation Prof Mariana...

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IEOR 4404 Assignment #6 Simulation March 3, 2010 Prof. Mariana Olvera-Cravioto 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 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 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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