I have an optimization model that I have developed within the PYOMO framework and I am unable to solve the model in a reasonable amount of time using the BARON solver. I have been instructed not to use heuristic methods to solve the problem and instead "simulate" the system of equations by using pre-assigned values for the control variables.
I want to be able to solve the system of equations that I have right now, with no optimization, but by still using the equations created in PYOMO. The way that I thought about doing this initially was to assign the objective function value to 0 and then by sending the system to the BARON solver, the various constraints would themselves solve to a given value depending on the inputs I have assigned.
To summarize, I want to use the equations that I have coded in PYOMO to numerically solve a system of equations without doing any optimization. The problem that I have would essentially pre-assign values to the control variables and then let the constraints evolve.
I am more interested in the variable values that result from the equations than I am in the optimal values. This method was communicated to me as "simulation", but I am not sure if this is the appropriate terminology within OR.