Anniez 20240608

[asyz8]

Added a toy algorithm that

• inputs:
  • mandatory: total carbon charge, expected carbon forecast
  • optional: min/max/fixed charge per time period, covariance matrix of carbon forecast, additional cost for starting, maintaining and stopping charging
• outputs: optimal schedule, carbon cost, carbon "utility" (with uncertainty)

Next steps:

• impose constraints such as
  • "must reach 90% of goal within first three hours"
  • contiguity: currently achievable by imposing large "fake" cost for starting and stopping charge, but algorithm can be further optimized if we only want one period
• more flexibility in measuring carbon cost. add layer that includes carbon cost and startup/shutdown cost, but no uncertainty
• add framework for testing this on small data example
• under strong non diagonal covariance structures, optimality isn't guaranteed