Problem 44684. Basic Monte Carlo Simulation

Created by Mehmet OZC

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{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Input is a matrix including service time and probability of service time. Another input is a random number. Function should transform the random number to service time.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>First column of the input1 is service time and second column is probability of that service time.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[input1 = [\n2 0.4\n5 0.4\n9 0.2]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>We can calculate cumulative probability and Random Number Assignment with this input,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ Service Cumulative Random Number\n Time Probability Probability Assignment\n 2 0.4 0.4 0.000 - 0.400\n 5 0.4 0.8 0.400 - 0.800\n 9 0.2 1.0 0.800 - 1.000]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>input2 is a random number between 0 and 1 such as;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ input2 = 0.125]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Random number can be transformed to service time with the table. Random number (input2) is between first line of random number assignment</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0.000 < Random number <= 0.400]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>as a result</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ serviceTime = 2]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Note:</w:t></w:r><w:r><w:t> You can assume that the sum of the probabilities will be equal to one.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Input is a matrix including service time and probability of service time. Another input is a random number. Function should transform the random number to service time.First column of the input1 is service time and second column is probability of that service time.<pre class="language-matlab">input1 = [
2 0.4
5 0.4
9 0.2]
</pre>We can calculate cumulative probability and Random Number Assignment with this input,<pre> Service Cumulative Random Number
 Time Probability Probability Assignment
 2 0.4 0.4 0.000 - 0.400
 5 0.4 0.8 0.400 - 0.800
 9 0.2 1.0 0.800 - 1.000</pre>input2 is a random number between 0 and 1 such as;<pre> input2 = 0.125</pre>Random number can be transformed to service time with the table. Random number (input2) is between first line of random number assignment<pre class="language-matlab">0.000 &lt; Random number &lt;= 0.400
</pre>as a result<pre> serviceTime = 2</pre>Note: You can assume that the sum of the probabilities will be equal to one.

Input is a matrix including service time and probability of service time. Another input is a random number. Function should transform the random number to service time.

First column of the input1 is service time and second column is probability of that service time.
  
  input1 = [
  2 0.4
  5 0.4
  9 0.2]

We can calculate cumulative probability and Random Number Assignment with this input,

Service                      Cumulative       Random Number
   Time        Probability      Probability      Assignment
     2             0.4              0.4          0.000 - 0.400
     5             0.4              0.8          0.400 - 0.800
     9             0.2              1.0          0.800 - 1.000

input2 is a random number between 0 and 1 such as;

input2 = 0.125

Random number can be transformed to service time with the table. Random number (input2) is between first line of random number assignment

0.000 < Random number <= 0.400

as a result

serviceTime = 2

*Note:* You can assume that the sum of the probabilities will be equal to one.

Solve

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Problem 44684. Basic Monte Carlo Simulation

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