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

Industrial System Simulation

Industrial System Simulation 1

Industrial System Simulation 2

Industrial System Simulation 3

Industrial System Simulation 4

Daily demand (units)

Probability

Industrial System Simulation 5

Industrial System Simulation 6

Industrial System Simulation 7

Industrial System Simulation 8

Industrial System Simulation 9

Industrial System Simulation 10

Industrial System Simulation 11

Industrial System Simulation 12

Industrial System Simulation 13

Industrial System Simulation 14

Industrial System Simulation 15

Industrial System Simulation 16

Industrial System Simulation 17

Industrial System Simulation 18

Industrial System Simulation 19

Industrial System Simulation 20

Industrial System Simulation 21

Industrial System Simulation 22

  1. Use the inverse transformation method to generate 100 samples on excel sheet from a
    Industrial System Simulation 23 distribution with a minimum, mode and maximum of
    Industrial System Simulation 24 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

Industrial System Simulation 25, where
Industrial System Simulation 26 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. Industrial System Simulation 27

  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
    Industrial System Simulation 28 hrs

Cost isIndustrial System Simulation 29.