A painting system contains two operations. Parts arrive according to an exponential interarrival-time distribution with mean 5

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A painting system contains two operations. Parts arrive according to an exponential interarrival-time distribution with mean 5 (all times are in minutes), with the f rst part’s arriving at time 0. Parts f rst enter a painting station (there is only one painting resource) that has a triangular operation time with minimum 1, mode 4.5, and maximum 7. Once the part completes the painting operation, it must be allowed to dry for 15 minutes; during this unattended (that is, there’s no resource required) drying time the part is out of the painting station so other parts can be painted, and there is no limit on how many parts can be in their 15-minute drying period at the same time. After drying, the part enters the second operation, which is a f nishing operation; this operation has a uniform processing time between 0.5 and 9, and there is only one f nishing resource. Run your simulation for a single replication of 24 hours and observe the average total time in system of parts, the time-average number of parts in the system; also observe, for the paint and f nishing operations separately, the average time in queue, the time-average number of parts in queue, and the utilizations of the painting and f nishing resources. Put a text box in your model with all these output performance metrics. Animate the painting and f nishing resources and the queues leading into them, but do not animate the drying operation, and include a plot of each queue length separately on the same axes. Comment brief y on the relationship in your results between the time-average number of parts in system and the sum of the time averages of the number in each of the queues, and what might explain any apparent discrepancies.

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Related Book For  book-img-for-question

Simulation With Arena

ISBN: 9780073401317

6th Edition

Authors: W. David Kelton, Randall Sadowski, Nancy Zupick

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