Operations Research and the Captivating Study of Networks
Operations Research and the Captivating Study of Networks
Operations Research and the Captivating Study of Networks
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Adding a Link<br />
Increases Travel Cost for All!<br />
Adding a new link creates a new path<br />
p 3 =(a,e,d).<br />
The original flow distribution pattern is<br />
no longer an equilibrium pattern, since<br />
at this level <strong>of</strong> flow <strong>the</strong> cost on path p 3 ,<br />
C p3 =70.<br />
The new equilibrium flow pattern<br />
network is<br />
x<br />
*<br />
p1 = x<br />
*<br />
p2 = x p3* =2.<br />
The equilibrium path travel costs: C = p1<br />
C = C p2 p 3<br />
= 92.<br />
2<br />
a<br />
c<br />
1<br />
e<br />
4<br />
b<br />
d<br />
c e (f e ) = f e + 10<br />
3
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