Two units of non-atomic traffic travel from start to end in the selfish routing network shown below. There are three paths. (a) Find the equilibrium flow and cost. (b) Find the optimal flow and cost and use this and your answer in part (a) to calculate the POA

Two units of non-atomic traffic travel from start to end in the selfish routing network shown below. There are three paths. (a) Find the equilibrium flow and cost. (b) Find the optimal flow and cost and use this and your answer in part (a) to calculate the POA

Organic Chemistry: A Guided Inquiry

2nd Edition

ISBN:9780618974122

Author:Andrei Straumanis

Publisher:Andrei Straumanis

Chapter14: Elimination

Section: Chapter Questions

Problem 19CTQ

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Question

6. Two units of non-atomic traffic travel from start to end in the selfish routing network shown below. There are three paths. (a) Find the equilibrium flow and cost. (b) Find the optimal flow and cost and use this and your answer in part (a) to calculate the POA.

A
x2
2
start
end
x2
2
D
Three Paths Label them
1: start - A -C - end
2: start - A -D - end
3: start - B-D - end

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Step 2: Cost of anarchy

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Step 3: Equilibrium flow and costs (part a)

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Step 4: Optimal flow and cost (part b)

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