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Industrial System Simulation 2 Essay Example
 Category:Engineering and Construction
 Document type:Assignment
 Level:Undergraduate
 Page:1
 Words:158
Pick time mean= 45min
Weighing mean time = 6min
p(x<20) = e^{20/45}
p(x<20) = e^{20/6}
= 0.03567
Total probability = 0.03567 * 0.641
= 0.02287
F^{1}(p) = — m ln(U)
y^{1} = m ln(U)
y^{1} = — 0.641ln (U)
The graph from the above is
Data is in the attached excel sheet
Exponential mean for picking =45min
Exponential mean of weighing = 5min
Normal distribution = 1min
Standard deviation = 0.25min
λ1=1/45
p(x<20)=e^{20/45}
P(x>5) = e^{20/5}
From normal distribution table, with sd of 0.25 p(x>1)= 0.5987
Total probability
P(x>20)= 0.641 * 0.018*0.5987
p(x<60)=e^{60/45}
P(x>5) = e^{60/5}
= 0.0000061
From normal distribution table, with sd of 0.25 p(x>1)= 0.5987
p(x<60)= 0.265* 0.000006*0.5987
= 0.00000097
P(n>5000)= e^{(1000/800)*0.05}

From z distribution table mean = 3.1
Y=f(x)=1e^{x/3.1}
Inserting log on both sides
Log(1y)=x/3.1
Radom variables generated are as shown
0.141848 

0.300421 

0.480196 

0.687731 

0.933193 

1.233614 

1.620924 

2.166807 

The simulation
Mean =6.2
Log(1y)=x/6.2
exponential 

0.283696 

0.600842 

0.960392 

1.375462 

1.866386 

2.467228 

3.241848 

4.333614 
