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Question

home / study / questions and answers / math / statistics and probability / need some help with the results for exercise 5-3 ...

Question

Need some help with the results for Exercise 5-3 from Simulation with Arena 5th Edition Chapter 5 page 265.

I need the following statistics after running the simulation with Arena:

Exercise 5-3: Stacks of paper arrive at a trimming process with interarrival times of EXPO (10); all times are in minutes. There are two trimmers, a primary and a secondary. All arrivals are sent to the primary trimmer. If the queue in front of the primary trimmer is shorter than five, the stack of paper enters that queue to wait to be trimmed by the primary trimmer, and operation of duration TRIA (9, 12, 15). If there are already five stacks in the primary queue, the stack is balked to the secondary trimmer (which has an infinite queue capacity) for trimming, of duration TRIA (17, 19, 22). After the primary trimmer has trimmed 25 stacks, it must be shut down for cleaning, which lasts EXPO (30). During this time, the stacks in the queue for the primary trimmer wait for it to become available. Animate and run your simulation for 5,000 minutes. Collect statistics, by trimmer, for cycle time, resource utilization, number in queue, and time in queue. Whenever possible, use modules from the Advanced Process panel.

Primary Trimmer Secondary Trimmer Average Cycle Time (min.) ? ? Resource Utilization ? ? Average Number in Queue ? ? Average Time in Queue (min.) ? ?

Explanation / Answer

Incoming calls’ arrival rate varies over day

More in Instead of a constant rate (= 1 / mean interarrival time), specify a rate function – Arena supports piecewise-constant rate function – “step” functions Easy to specify, strong theoretical support – Rate-function specification: In Arena, rates MUST be in arrivals per HOUR, regardless of base time units or time intervalsCaution – it’s easy to generate this incorrectly ...

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