Assignment5.pdf

‫بسمه تعالی‬
‫ پیشامد‬- ‫تمرین دوم درس شبیه سازی سیستم های گسسته‬
1131 ‫ خرداد ماه‬10 :‫موعد تحویل‬
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9.6 Prepare four theoretical normal density functions, all on the same figure, each
distribution having mean zero, but let the standard deviations be 1/4, 1/2, 1, and
2.
9.20 The time required for the transmission of a message is sampled electronically
at a communication center. The last 50 values in the simple are as follows:
7.936 4.612 2.407 4.278 5.132
4.599 5.224 2.003 1.857 2.696
5.259 7.563 3.937 6.908 5.002
6.212 2.759 7.172 6.513 3.326
8.761 4.502 6.188 2.566 5.515
3.785 3.742 4.682 4.346 5.359
3.535 5.061 4.629 5.298 6.492
3.502 4.266 3.129 1.298 3.454
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‫بسمه تعالی‬
‫ پیشامد‬- ‫تمرین دوم درس شبیه سازی سیستم های گسسته‬
1131 ‫ خرداد ماه‬10 :‫موعد تحویل‬
5.289 6.805 3.827 3.912 2.969
4.646 5.963 3.829 4.404 4.924
How are the transmission times distributed? Develop and test an appropriate
model.
9.21 The time (in minutes) between requests for the hookup of electric service
was accurately recorded at the Gotwatts Flash and Flicker Company, with the
following results for last 50 requests:
How are the times between requests for service distributed? Develop and test a
suitable model.
10.1 A simulation model of a job shop was developed to investigate different
scheduling rules. To validate the model, the scheduling rule currently used was
incorporated into the model and the resulting output was compared against
observed system behavior. By searching the previous year's database records, it
was estimated that the average number of jobs in the shop was 22.5 on a given
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‫بسمه تعالی‬
‫ پیشامد‬- ‫تمرین دوم درس شبیه سازی سیستم های گسسته‬
1131 ‫ خرداد ماه‬10 :‫موعد تحویل‬
day. Seven independent replications of the model were run, each of 30 days
duration, with the following results for average number of jobs in the shop:
18.9 22.0 19.4 22.1 19.8 21.9 20.2
Develop and conduct a statistical test to evaluate whether model output is
consistent with system behavior. Use the level of significance α = 0.05.
10.2 System data for job shop of Exercise 10.1 revealed average time by a job in
the shop was approximately 4 working days. The model made the following
predictions, on seven independent replications, for average time spent in the
shop:
3.70 4.21 4.35 4.13 3.83 4.32 4.05
Is model output consistent with system behavior? Conduct a statistical test, using
the level of significance α = 0.01.
10.8 Use the confidence-interval approach to assess the validity of the revised
bank model in example 10.2 using the output data in Table 10.3
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‫فرهادی‬
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