Friday, July 18, 2014

Network Analysis




Below is an example of a network analysis.

In this example, we assume that the circles in the upper part of the picture are 1 and 2 from left to right, while the ones below are 3 and 4 from left to right. The answers are as follows:

J1 300 = x1+x2
J2 x1+x3 = 150+x4
J3 200+x2 = x3+x5
J4 x5+x4 = 350

J is known as the junction. The ones within the junctions are the numbers on the arrows going toward the junction, while the ones not within the junction in the equation are the numbers on the arrows going away from the junction. For example, in J1, 300 is the number on the arrow going toward the junction, while xand xare the numbers on the arrows going away from the said junction. The equation can also be J1 x1+x= 300, since it is also produces the same result.


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