I am using IBM CPLEX python's API to solve a linear program.
The linear program I am solving turned out to be infeasible, so I am using feasopt() from CPLEX to relax the problem.
I could get a feasible solution through my_prob.feasopt(my_prob.feasopt.all_constraints())
, where feasopt relaxes all the constraints.
But I am interested in getting the amount of relaxation for each constraint. Particularly, in the documentation it says In addition to that conventional solution vector, FeasOpt also produces a vector of values that provide useful information about infeasible constraints and variables.
I am interested in getting this vector.
I believe you are looking for the methods available under the Cplex.solution.infeasibility interface.
Example usage:
# query the infeasibilities for all linear constraints
rowinfeas = my_prob.solution.infeasibility.linear_constraints(
my_prob.solution.get_values())