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I tried to solve an MIP problem using JuMP and HiGHS.
I formualted the problem in JuMP and exported it into an .mps file to run directly through the HiGHS binary.
In Julia, embedded HiGHS solver in the package took more than 4 hours to solve the problem, whereas the binary solved it in 20 mins.
Here's some log from HiGHS
julia> optimize!(model)
Running HiGHS 1.8.1 (git hash: 4a7f24ac6): Copyright (c) 2024 HiGHS under MIT licence terms
WARNING: LP matrix packed vector contains 303 |values| in [3.46945e-18, 7.64822e-14] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.67362e-19, 1.83863e-14] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.0842e-18, 2.65836e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.73472e-18, 2.90653e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-18, 5.92148e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.73472e-18, 4.08701e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.67362e-19, 2.9178e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 3.90226e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.30104e-18, 4.35828e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [3.25261e-19, 2.27964e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [2.1684e-19, 1.74166e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-18, 3.88188e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.76183e-19, 2.97245e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 1.93335e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 4.66033e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 4.02499e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 3.78679e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.73472e-18, 3.13508e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.73472e-18, 1.79544e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-18, 2.14499e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 1.05862e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.71051e-19, 3.82913e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.51788e-18, 1.41163e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.95156e-18, 4.51115e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.67965e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.83794e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 2.92171e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 4.40663e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 5.77381e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.60209e-18, 2.53638e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 5.86375e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [6.50521e-19, 2.68058e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 1.46367e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.49273e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 3.00085e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [5.42101e-19, 2.39739e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 1.60419e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.13152e-20, 4.76377e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 300 |values| in [2.1684e-18, 2.55178e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 4.05448e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [3.36103e-18, 4.42886e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.40946e-18, 4.92488e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 2.08991e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 2.92713e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [9.14796e-20, 4.55647e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 1.64885e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [7.99599e-19, 3.58719e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [3.25261e-19, 2.05424e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.5387e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 2.28875e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-18, 3.32752e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.51788e-18, 3.16083e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.35525e-19, 2.3653e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [6.50521e-19, 3.98016e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.74338e-20, 4.49911e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 5.56369e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 4.85506e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-18, 2.36356e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 2.67841e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 7.0033e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 5.31391e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 4.66695e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 3.4109e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.38236e-18, 3.75828e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-19, 1.70697e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [3.25261e-19, 2.14488e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 9.57535e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 2.39739e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 4.45542e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 6.87818e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.67362e-19, 4.81104e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.64075e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 3.79514e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.55908e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.47603e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 2.52923e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.0842e-18, 2.01109e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.98156e-19, 2.46222e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [5.42101e-20, 1.1679e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-19, 2.26295e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.89735e-19, 1.63194e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 5.6333e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 4.84552e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.17137e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 3.57288e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 2.61794e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 1.75982e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 7.56339e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [3.25261e-19, 5.55936e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 2.9647e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [5.42101e-20, 1.90852e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 4.36207e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 2.97939e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 2.15702e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 1.36257e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.30393e-19, 5.73413e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.98539e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 1.92842e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 4.21538e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.24972e-18, 1.60527e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 4.43786e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 2.41647e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 4.51418e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.67362e-19, 2.96968e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.30104e-18, 2.07603e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 3.24545e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [3.25261e-19, 1.32251e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 7.5764e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.73472e-18, 3.83287e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 3.02753e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-19, 9.67976e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 3.95278e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.09981e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 300 |values| in [2.60209e-18, 3.46533e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [9.89334e-19, 5.38111e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.41467e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-19, 1.70437e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 1.20867e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.57498e-19, 3.22388e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 1.45348e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 4.72083e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 9.87491e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 2.84972e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 4.03236e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 1.01915e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [7.58942e-19, 2.18147e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [5.42101e-19, 4.67703e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.68051e-18, 6.45469e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-18, 3.87722e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.06576e-20, 1.34288e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 3.7144e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [8.67362e-19, 4.54649e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 8.4069e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 3.48273e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 300 |values| in [1.51788e-18, 2.24159e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.30104e-18, 4.34613e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.35525e-20, 2.59731e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 1.2072e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 1.40643e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [5.42101e-19, 2.86088e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 3.92527e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.11304e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.6263e-19, 2.69056e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 6.16846e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 2.25819e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [4.33681e-19, 2.35575e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.95156e-18, 1.54022e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 4.72138e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [1.24683e-18, 2.6306e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 1.57144e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [7.58942e-19, 2.25254e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 2.80842e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 2.82473e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [3.52366e-19, 2.08969e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 5.30955e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [5.42101e-19, 1.17701e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.84603e-19, 1.56385e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.30104e-18, 2.60089e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 1.22195e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [1.0842e-19, 1.7908e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 2.31867e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [3.25261e-19, 5.50509e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 2.87335e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 1.47278e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 9.15934e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 1.15088e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-18, 1.47083e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 1.41575e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [5.42101e-19, 2.8289e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.99894e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 1.11976e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 1.73472e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [4.33681e-19, 2.41669e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.82788e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.51788e-18, 1.43635e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [7.58942e-19, 9.18536e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 3.64064e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 4.29886e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 1.33921e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.40257e-19, 2.73368e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.0842e-19, 1.29681e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.61129e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 1.69613e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 2.06497e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.71051e-20, 2.89786e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 2.74824e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 301 |values| in [4.33681e-19, 1.0713e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [9.75782e-19, 4.7436e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 1.73819e-14] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 1.61912e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 2.90913e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 300 |values| in [6.50521e-19, 4.78307e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [6.50521e-19, 2.60729e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 5.8883e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [3.52366e-19, 3.52344e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [3.52366e-19, 2.07852e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 2.32973e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [2.1684e-19, 2.52164e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 3.62904e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [7.72494e-19, 1.90549e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [1.73472e-18, 9.99201e-16] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.51723e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [8.67362e-19, 3.98813e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [4.33681e-19, 3.56681e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [4.33681e-19, 3.47129e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 2.37115e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [2.1684e-19, 1.82669e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 302 |values| in [8.67362e-19, 1.36176e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [6.50521e-19, 4.90233e-15] less than or equal to 1e-09: ignored
WARNING: LP matrix packed vector contains 303 |values| in [7.58942e-19, 2.20028e-15] less than or equal to 1e-09: ignored
Coefficient ranges:
Matrix [8e-07, 1e+04]
Cost [1e+00, 1e+00]
Bound [1e+00, 1e+06]
RHS [1e+00, 1e+04]
Presolving model
2770 rows, 2082 cols, 107712 nonzeros 0s
1996 rows, 1633 cols, 106222 nonzeros 0s
1778 rows, 1297 cols, 105690 nonzeros 0s
1213 rows, 1284 cols, 100875 nonzeros 1s
1198 rows, 1269 cols, 100835 nonzeros 2s
Solving MIP model with:
1198 rows
1269 cols (481 binary, 0 integer, 0 implied int., 788 continuous)
100835 nonzeros
MIP-Timing: 2.2 - starting analytic centre calculation
Src: B => Branching; C => Central rounding; F => Feasibility pump; H => Heuristic; L => Sub-MIP;
P => Empty MIP; R => Randomized rounding; S => Solve LP; T => Evaluate node; U => Unbounded;
z => Trivial zero; l => Trivial lower; u => Trivial upper; p => Trivial point
Nodes | B&B Tree | Objective Bounds | Dynamic Constraints | Work
Src Proc. InQueue | Leaves Expl. | BestBound BestSol Gap | Cuts InLp Confl. | LpIters Time
0 0 0 0.00% -1706.952073 inf inf 0 0 0 0 2.3s
0 0 0 0.00% -0.9219480951 inf inf 0 0 19 1159 3.6s
0 0 0 0.00% -0.9219480951 inf inf 194 41 294 1347 9.3s
0 0 0 0.00% -0.9219480951 inf inf 381 62 435 1768 14.8s
0 0 0 0.00% -0.9219480951 inf inf 595 73 576 2080 20.3s
0 0 0 0.00% -0.9219480951 inf inf 766 67 737 2417 25.6s
L 0 0 0 0.00% -0.9219480951 0 Large 922 70 841 2565 52.4s
Symmetry detection completed in 0.2s
Found 46 generator(s)
1 1 1 0.00% -0.9219480951 0 Large 907 54 841 13378k 28800.0s
1 1 1 0.00% -0.9219480951 0 Large 907 54 841 13378k 28800.0s
Solving report
Status Time limit reached
Primal bound 0
Dual bound -0.92194809505
Gap inf
P-D integral 0
Solution status feasible
0 (objective)
0 (bound viol.)
0 (int. viol.)
0 (row viol.)
Timing 28800.04 (total)
0.00 (presolve)
0.00 (solve)
0.00 (postsolve)
Max sub-MIP depth 4
Nodes 1
Repair LPs 0 (0 feasible; 0 iterations)
LP iterations 13378619 (total)
0 (strong br.)
1406 (separation)
13376054 (heuristics)
Ah, ok. the LHS matrix contains a null space basis obtained from another one and contains many small nonzero elements. Applying tolerance make the problem solved much faster. Thanks
Hello,
I tried to solve an MIP problem using JuMP and HiGHS.
I formualted the problem in JuMP and exported it into an .mps file to run directly through the HiGHS binary.
In Julia, embedded HiGHS solver in the package took more than 4 hours to solve the problem, whereas the binary solved it in 20 mins.
Here's some log from HiGHS
Direct execution of HiGHS:
Could you look into the problem? the mps file is attached below.
iJR904.mps.txt
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