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# IE 5553 Homework 4, due April 7 at 6:10pm 1. (40 pts) Consider the UNH stock trading data that are posted on the class web site. Suppose that on...

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For both systems, the frst customer arrives to fnd an empty and idle system. The per±ormance measure o± interest is the expected average delay in queue o± the frst 100 customers. Denote this quantity by d 1 (100) and d 2 (100) ±or system 1 and system 2, respectively. Note that the per±ormance measure o± interest does not include the time in service, only the time in queue. Zippy System 1 System 2 Klunky Klunky Model each scenario using Arena. Make n independent replications o± each system ±or n = 10, 50, 100, and 1,000. Note that the output o± each replication will contain the average o± 100 wait times. Compare the di²erence in per±ormance between the two systems by computing a confdence interval ±or the di²erence in the expected average delay in queue. What does it mean i± the confdence interval contains zero? Report your fndings and recommend which o± the two systems gives a better per±ormance measure. What do you notice about the confdence interval, and the quality o± your recommendation, as n increases? References [1] Averill M. Law and W. David Kelton. Simulation Modeling and Analysis . McGraw Hill, second edition, 1991. [2] Sheldon M. Ross. Simulation . Elsevier Academic Press, Inc., ±ourth edition, 2006.

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