Calculation Of Mean And Mode For Number Of Jobs In Line


There is a mathematical theory called queuing theory that studies ways in which computer jobs are fed in CPUs and researches on how these can be reduced to a minimum. Show how can a computer estimate the average number of jobs waiting at a queue?

Suppose that in a 5 sec interval jobs arrive as indicated in the following table (Arrival time is assumed to be at the beginning of each second) In the first second jobs A and B arrive. During the second second B moves to the head of the line (A job is completed as it took 1 sec to be served), and C and D jobs arrive and so on.

a. The mean number of jobs in line
b. The mode of the number of jobs in line

Time in seconds     Jobs       
1                          A, B       
2                          C, D       
4                          E, F       


The question belongs to Statistics and it discusses about calculating the mean number of job in line and the mode of the number of jobs in line. The calculations have been given in the solution.

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