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I’m working on the following problem:

Minimising the electricity price for household trading pairs. There’s producer and consumer households. Trades are just possible between producers and consumers. Producer households have a supply I’ll call Si. Consumer households have a demand I’ll call Di.

For each household-pair (Pi,Cj) there is a different trading price which I call:

P(Ci,Cj)

Where: Ci = consumer Pi = producer

ATM I’m looking at the problem as a bipartite graph where nodes are households and edges is the price for a trade in between those households.

I think I could solve it with network simplex method interpreting the problem as a transport model.

How would you guys solve it? Is there any faster/better ways to solve the problem?

I would really appreciate some new ideas.

Tanks in advance.

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