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Unformatted text preview: IEOR 4404 Assignment #10 Simulation November 23, 2006 Prof. Mariana Olvera-Cravioto Page 1 of 2 Assignment #10 – due December 1st, 2006 1. (From L-K) A manufacturing system consists of two machines in parallel and a single queue. Jobs arrive with exponential interarrival times at a rate of 10 per hour, and each machine has exponential processing times at a rate of 8 per hour. During the first 16 hours of each day both machines are operational, but only one machine is used during the final 8 hours. (a) Compute the traffic intensity ρ , defined as the rate at which jobs arrive divided by the rate at which jobs get processed, and determine whether the system is well defined (does not blow up). (b) Let N i be the trhoughput for the i th hour. Does N 1 ,N 2 ,... have a steady-state distri- bution? (c) Make 10 replications of the simulation of length 480 hours (20 days) each. Plot the averaged process N 1 , N 2 ,..., N 480 . (d) Let M i be the throughput for the i th 24-hour day. Use the data from part (c) and the replication/deletion approach to construct a point estimate and 90 percent confidence interval for the steady-state mean daily throughput ν = E [ M ] = 240....
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- Spring '10
- Poisson Distribution, Exponential distribution, Equals sign, percent confidence interval, nonhomogeneous poisson process