Normal distribution or Uniform distribution

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SUMMARY

The discussion centers on comparing processing times for two job types: one following a normal distribution with a mean of 4.5 minutes and a standard deviation of 1.5 minutes, and the other uniformly distributed between 1 and 3 minutes. The key conclusion is that determining which job requires less processing time depends on the definition of "smaller," whether in terms of expected value or probability comparisons. The user is utilizing Simio for job priority decisions based on processing times, emphasizing the need for clarity in statistical comparisons.

PREREQUISITES
  • Understanding of normal distribution, specifically mean and standard deviation.
  • Knowledge of uniform distribution and its characteristics.
  • Familiarity with statistical concepts like expected value and probability comparisons.
  • Experience with Simio simulation software for job processing analysis.
NEXT STEPS
  • Research how to calculate expected values for normal and uniform distributions.
  • Learn about probability comparisons, specifically calculating P(A < B) for different distributions.
  • Explore advanced features of Simio for optimizing job scheduling based on processing times.
  • Study statistical decision-making frameworks to define criteria for "smaller" processing times.
USEFUL FOR

This discussion is beneficial for data analysts, operations researchers, and simulation practitioners who need to make informed decisions about job prioritization based on processing time distributions.

Amol Musale
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Hello,
I have two jobs,Normal distribution with mean of 4.5 minutes and standard deviation of 1.5 minutes for type 1 and uniformly distributed between 1 and 3 minutes for type 2
 
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which job will requires less processing time??
 
Amol Musale said:
which job will requires less processing time??

Show us your work; those are PF rules!
 
I am working on simio and i have to decide job priority according to their processing time. smaller the processing time, higher the priority. I don't know how to compare between normal and uniform distribution.
 
Amol Musale said:
I am working on simio and i have to decide job priority according to their processing time. smaller the processing time, higher the priority. I don't know how to compare between normal and uniform distribution.

First of all: the question "... has smaller processing time..." is meaningless; both processing times are random, so sometimes the uniform will be less than the normal, while other times it will be the opposite. You need to decide what "smaller" means; is it smaller in expectation or do you look at quantities like ##P(A < B)##, or what? YOU decide!
 

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