Probability Homework Solution: Machine Breakdowns and Queue System, Exercises of Probability and Statistics

The solutions to problem 1.12 of a probability homework. The problem deals with a queue system for machine repairs, where each machine breakdown corresponds to a job submission. Equations and notations for calculating the average waiting time and the average response time.

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Probability Homework #1 Solution
1.9 題目修正為
{}
2
2
1
1()
n
n
nj
VXjX
n=
=−
(助教會斟酌給分)
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pf2

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1

Probability Homework #1 Solution

2 2 1

1^ n ( )

V n = n ∑ j = X j − X n (助教會斟酌給分)

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2

Each time a machine breaks down corresponds to a terminal submitting a

job to the system (repairman).

n machines

queue system (repairman)

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