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1.224J Recitation #3 Networks And Introduction to AMPL

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Topics Network formulation review Tournament example Product distribution example in AMPL

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Network highlights Node-arc incidence matrix Sign convention –Arc from i to j, i gets the +1, j gets the -1 –Convention: b(i) positive for supply, negative for demand Integer data…integer solutions

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Tournament problem N teams compete in a tournament of k rounds. During each round, each team plays every other team once. Given a particular outcome vector (for example, team 1 won 3 games, team 2 won 7 games…) decide if that is a possible outcome.

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Product distribution network ORIG DEST b1 b2 b3

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