Normal distribution or Uniform distribution

AI Thread Summary
To determine which job requires less processing time, it is essential to clarify the definition of "smaller" in this context, as both the normal and uniform distributions are random. The normal distribution has a mean of 4.5 minutes and a standard deviation of 1.5 minutes, while the uniform distribution ranges from 1 to 3 minutes. A comparison could be based on expected values or probabilities of one distribution being less than the other. The decision on job priority in Simio should consider these statistical measures to establish a clear criterion for processing time. Understanding these concepts will help in effectively prioritizing jobs based on their processing times.
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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