Cbc generate inconsistent result from other solvers
For seed.mps.txt, cbc returns:
Status: Optimal
Objective: -12507.817935900002
x0 = 155.0, x1 = -162.72485, x2 = 200.0, x3 = 200.0, x4 = 153.0, x5 = 110.92783, x6 = 199.0, x7 = 102.0
While other solvers like scip and gurobi generate:
Status: Optimal
Objective: -12511.698223973108
x0 = 155.0, x1 = -161.12154852031918, x2 = 198.0, x3 = 200.0, x4 = 151.0, x5 = 108.87332950759684, x6 = 200.0, x7 = 100.0
Any suggestions are appreciated.
It is a tolerance issue with an infeasibility issue on row _C144. If you fix the integer variables to those values and solve as an LP, you get Optimal objective -12511.69822 - 3 iterations time 0.002 Unscaled problem has primal infeasibilities
Switching off scaling you need to set the primal tolerance to 5e-6 before it says optimal.
Cbc master gives same solution value as scip and gurobi, which shows that this is a borderline case.
I see, thanks for your explanation!
Could you please take a look at #694? I encounter several confusing cases like that where command-line outputs are different from the solution file. Thanks!