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Optimal load scheduling based on day a head energy price and peak load limit

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I am searching for an cost optimization algoritm to optimize a schedule on when to run the SPA/Jacuzzi heater and pumps, water boiler , heating etc based on day a head energy prices and peak load.

“slow loads” that have to run a number of hours a day but not nessesary continiuosly can be splittet into several timeslots

any one that have a suggestion for a good solution ?

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