I am actually trying to develop an algorithm to shift the load demand during on-peak hours using GenOpt. I have had a quick trial testing the example file HookJeeves Algorithm, however I have some doubts in order to achieve my target.

I would like to start with something very simple such as:

$\min_{J} : C(t) dt$

Where,

$C(t) = [P_{HP} + P_{DHW} +...] * TimeOfUse (t) $

• $C(t)$ : Cost function

• $TimeOf Use(t)$ : on-peak hour tariff prices and off-peak hour tariff prices

• $P_{HP}$: Power associated to a Heat Pump

• $P_{DHW}$ : Power associated to the Domestic Hot Water

and,

• 18C <= Temperature indoor<= 21C

• 45C <= Temperature Domestic Hot Water<= 55C

Therefore, I am not too sure if HookJeeves is the best algorithm to use for this case, and if it is, how can I set the time of use parameter and constraint the temperatures.