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:
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.