 Home
 Engineering and Construction
 Industrial System Simulation
Industrial System Simulation Essay Example
 Category:Engineering and Construction
 Document type:Assignment
 Level:Undergraduate
 Page:1
 Words:389

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 























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 

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.

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 

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]

Compute the average number of machines that will break down per week.
Solution
Random Number 
Machine breakdowns per week 
0 

0 

0 


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

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 

Average
hrs
Cost is.