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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Example 1<br />
1<br />
Assume a network with two O/D pairs:<br />
w 1 =(1,2) <strong>and</strong> w 2 =(1,3) with dem<strong>and</strong>s:<br />
d w1 =100 <strong>and</strong> d w2 =20.<br />
C =C =20. p 1 p2<br />
The paths are:<br />
for w 1 , p 1 =a; for w 2 , p 2 =b.<br />
The equilibrium path flows are:<br />
a b<br />
x p1* = 100, x p2* =20.<br />
c a (f a )=0.01f a +19<br />
c b (f b )=0.05f b +19<br />
The equilibrium path travel costs are:<br />
2 3