# Industrial System Simulation Essay Example

1. Using a scientific calculator generate 15 samples for the daily demand of a product knowing that the daily demand and its probability of occurrence is summarized in the following table

 Daily demand (units) Probability

Solution     Daily demand (units) Probability                  1. Use the inverse transformation method to generate 100 samples on excel sheet from a distribution with a minimum, mode and maximum of respectively.

 17.18401 13.83525 14.58324 19.02315 16.14754 13.45212 16.19461 14.71617 19.58629 17.85374 13.39304 19.60746 18.03661 14.38933 19.06282 16.66472 13.95147 19.44936 18.83757 15.98428 14.83973 15.78095 16.72369 17.95896 12.33763 17.95735 16.28474 17.94295 13.64646 17.99588 16.60997 13.23686 15.80578 18.13861 15.20963 16.08465 18.66877 17.76267 18.92903 15.25542 15.56757 14.48273 12.27229 18.40847 19.43971 18.48933 18.70413 12.20704 16.05473 16.40043 18.18887 19.35424 16.78837 16.02324 14.86602 16.23765 19.09263 13.08346 16.24771 19.99892 16.09228 15.82099 12.23278 12.76757 15.36421 16.91993 13.91749 15.81571 12.97554 18.45886 17.71863 16.74839 14.86426 15.07679 14.55137 15.11418 19.91017 15.17705 19.86097 18.94686 15.05645 17.95403 14.47794 18.29347 15.47511 12.64002 12.58761 18.28615 19.01835 16.19249 12.08287 13.44194 15.06472
1. In the example above, I first assumed that β and α is 1 since the values are not given. Excel spreadsheet is then opened. In the excel spreadsheet, in one of the cells, write , where the generated single cell value is then copied to other 99 cells and the value presented as in the table above.

1. The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows:

 Machine breakdowns per week 0 Probability Cumulative
1. Simulate the machine breakdowns per week for 20 weeks using the following random number stream [39 65 76 45 45 19 90 69 64 61 20 26 36 31 62 58 24 97 14 97 95]

2. Compute the average number of machines that will break down per week.

Solution

 Random Number Machine breakdowns per week 0 0 0
1. 1. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to fix it, according to the following probability distribution:

 Repair Time (hr.) Probability
1. Simulate the machine breakdown per week for 20 weeks using the following random number stream [72 18 47 33 84 51 67 47 97 19 98 40 07 17 66 23 05 09 51 80 59]

Solution

 Random Number Weekly Repair Time
1. Average hrs

Cost is .