Hello
I am currently working on a production scheduling problem using AMPL and have faced some challenges with incorporating time-dependent constraints into my model. I am struggling to efficiently model constraints that vary dynamically based on factors such as production schedules, resource availability, and demand fluctuations over time.
I want to optimize production schedules while considering fluctuating demand forecasts and resource constraints over time.
Incorporating time-dependent constraints into the model to ensure production quantities align with demand forecasts and resource availability dynamically.
Below is simplified version of my current attempt in AMPL:
set Time;
param demand_forecast{Time};
param resource_availability{Time};
var production{Time} >= 0;
var inventory{Time} >= 0;
Objective function
minimize TotalCost:
sum{t in Time} production[t];
Constraints
subject to meet_demand {
forall(t in Time) {
production[t] <= demand_forecast[t] + inventory[t-1] - inventory[t] + resource_availability[t];
}
}
Additional constraints and model details go here
I need guidance on how to effectively model these time-dependent constraints and optimize the production scheduling problem in AMPL. I have checked https://ampl.com/wp-content/uploads/Appendix-A-AMPL-Book.pdf-react native guide but still need help.
Any advice from the community would be greatly appreciated.
Thank you in advance for your assistance!
Thank you 
nolanmaris