diff --git a/papers/Dowson_et_al_2026/MOKP/LICENSE b/papers/Dowson_et_al_2026/MOKP/LICENSE new file mode 100644 index 0000000..9fc373b --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/LICENSE @@ -0,0 +1,30 @@ +Copyright Satya Tamby (c) 2022 + +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + + * Redistributions of source code must retain the above copyright + notice, this list of conditions and the following disclaimer. + + * Redistributions in binary form must reproduce the above + copyright notice, this list of conditions and the following + disclaimer in the documentation and/or other materials provided + with the distribution. + + * Neither the name of Satya Tamby nor the names of other + contributors may be used to endorse or promote products derived + from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_1.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_1.dat new file mode 100644 index 0000000..8f56eac --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_1.dat @@ -0,0 +1,5 @@ +2 +200 +4813.5 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a/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_4.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_4.dat new file mode 100644 index 0000000..4f3c1e0 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-2_n-200_4.dat @@ -0,0 +1,5 @@ +2 +200 +5028.0 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+[6.0,72.0,96.0,12.0,5.0,27.0,16.0,4.0,8.0,32.0,15.0,32.0,33.0,81.0,92.0,65.0,40.0,70.0,64.0,16.0,20.0,78.0,68.0,92.0,66.0,14.0,48.0,77.0,30.0,61.0] diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_5.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_5.dat new file mode 100644 index 0000000..42fe151 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_5.dat @@ -0,0 +1,5 @@ +6 +30 +784.0 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+[64.0,50.0,48.0,62.0,37.0,10.0,50.0,24.0,83.0,77.0,8.0,17.0,79.0,52.0,59.0,79.0,26.0,88.0,33.0,64.0,68.0,8.0,11.0,32.0,83.0,95.0,34.0,71.0,63.0,93.0] diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_6.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_6.dat new file mode 100644 index 0000000..99af844 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_6.dat @@ -0,0 +1,5 @@ +6 +30 +716.5 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+[17.0,74.0,79.0,74.0,63.0,17.0,57.0,8.0,76.0,20.0,67.0,94.0,2.0,9.0,96.0,11.0,69.0,38.0,77.0,11.0,74.0,72.0,20.0,23.0,73.0,43.0,53.0,84.0,30.0,2.0] diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_7.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_7.dat new file mode 100644 index 0000000..d0692db --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_7.dat @@ -0,0 +1,5 @@ +6 +30 +777.5 +[[26.0,17.0,88.0,36.0,56.0,6.0,32.0,85.0,98.0,4.0,90.0,20.0,42.0,81.0,61.0,55.0,64.0,69.0,44.0,95.0,59.0,90.0,95.0,84.0,92.0,8.0,47.0,48.0,58.0,18.0],[81.0,88.0,17.0,40.0,34.0,42.0,48.0,99.0,56.0,45.0,81.0,17.0,75.0,92.0,53.0,86.0,32.0,86.0,74.0,68.0,27.0,96.0,43.0,62.0,56.0,23.0,52.0,9.0,48.0,51.0],[30.0,51.0,85.0,13.0,79.0,87.0,47.0,5.0,80.0,98.0,30.0,27.0,61.0,75.0,12.0,38.0,85.0,44.0,79.0,88.0,64.0,77.0,26.0,47.0,33.0,49.0,17.0,51.0,39.0,71.0],[61.0,52.0,85.0,67.0,81.0,21.0,55.0,68.0,77.0,60.0,90.0,41.0,96.0,94.0,67.0,19.0,94.0,79.0,2.0,37.0,52.0,27.0,6.0,57.0,28.0,94.0,79.0,6.0,36.0,38.0],[99.0,63.0,33.0,49.0,70.0,86.0,69.0,75.0,63.0,48.0,87.0,67.0,78.0,57.0,11.0,16.0,20.0,20.0,45.0,76.0,27.0,60.0,66.0,77.0,63.0,44.0,53.0,90.0,55.0,19.0],[17.0,75.0,44.0,74.0,36.0,15.0,39.0,31.0,49.0,74.0,42.0,44.0,2.0,34.0,100.0,44.0,85.0,24.0,13.0,42.0,26.0,82.0,55.0,2.0,84.0,64.0,6.0,69.0,77.0,28.0]] +[62.0,87.0,39.0,72.0,44.0,85.0,28.0,92.0,63.0,22.0,72.0,77.0,3.0,23.0,99.0,51.0,80.0,59.0,85.0,44.0,72.0,39.0,79.0,25.0,15.0,45.0,15.0,53.0,23.0,2.0] diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_8.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_8.dat new file mode 100644 index 0000000..f049587 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_8.dat @@ -0,0 +1,5 @@ +6 +30 +668.0 +[[60.0,43.0,22.0,86.0,51.0,46.0,52.0,59.0,41.0,86.0,36.0,44.0,9.0,86.0,70.0,84.0,34.0,51.0,54.0,62.0,45.0,18.0,52.0,77.0,85.0,29.0,67.0,47.0,28.0,60.0],[2.0,81.0,52.0,17.0,55.0,25.0,80.0,72.0,73.0,91.0,93.0,10.0,37.0,85.0,40.0,21.0,37.0,19.0,86.0,65.0,48.0,69.0,88.0,87.0,7.0,32.0,50.0,68.0,31.0,92.0],[17.0,77.0,60.0,62.0,22.0,79.0,71.0,67.0,10.0,11.0,76.0,57.0,79.0,37.0,28.0,13.0,1.0,49.0,59.0,34.0,51.0,83.0,60.0,56.0,18.0,41.0,74.0,32.0,59.0,92.0],[37.0,70.0,47.0,48.0,7.0,45.0,42.0,83.0,74.0,1.0,93.0,45.0,7.0,50.0,47.0,96.0,62.0,17.0,16.0,45.0,85.0,94.0,75.0,16.0,10.0,61.0,94.0,35.0,16.0,83.0],[36.0,65.0,49.0,9.0,58.0,4.0,42.0,15.0,53.0,65.0,46.0,72.0,89.0,24.0,97.0,80.0,80.0,75.0,7.0,57.0,59.0,59.0,24.0,74.0,64.0,82.0,91.0,8.0,62.0,2.0],[86.0,96.0,48.0,80.0,19.0,48.0,57.0,18.0,64.0,80.0,59.0,76.0,7.0,62.0,28.0,84.0,84.0,25.0,27.0,5.0,31.0,46.0,27.0,27.0,74.0,62.0,97.0,79.0,25.0,44.0]] +[88.0,7.0,41.0,41.0,74.0,57.0,36.0,19.0,9.0,17.0,78.0,18.0,53.0,80.0,12.0,92.0,46.0,49.0,46.0,51.0,88.0,43.0,32.0,28.0,75.0,43.0,22.0,10.0,11.0,70.0] diff --git a/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_9.dat b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_9.dat new file mode 100644 index 0000000..808ada3 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/MOKP_p-6_n-30_9.dat @@ -0,0 +1,5 @@ +6 +30 +709.0 +[[12.0,62.0,39.0,30.0,23.0,76.0,86.0,17.0,2.0,53.0,78.0,56.0,7.0,11.0,9.0,92.0,37.0,58.0,45.0,20.0,16.0,26.0,83.0,12.0,44.0,15.0,82.0,58.0,8.0,16.0],[22.0,5.0,82.0,90.0,75.0,99.0,41.0,79.0,62.0,94.0,51.0,69.0,57.0,35.0,15.0,45.0,34.0,79.0,29.0,20.0,76.0,84.0,30.0,8.0,52.0,54.0,1.0,49.0,89.0,88.0],[2.0,27.0,45.0,15.0,27.0,82.0,47.0,32.0,99.0,10.0,45.0,31.0,96.0,51.0,79.0,60.0,81.0,72.0,14.0,20.0,16.0,80.0,35.0,20.0,41.0,93.0,40.0,43.0,42.0,45.0],[95.0,42.0,32.0,91.0,42.0,82.0,34.0,14.0,62.0,84.0,3.0,88.0,38.0,95.0,68.0,99.0,75.0,38.0,58.0,18.0,81.0,39.0,33.0,96.0,78.0,83.0,96.0,89.0,39.0,73.0],[52.0,99.0,34.0,25.0,36.0,90.0,48.0,89.0,24.0,72.0,84.0,4.0,13.0,67.0,34.0,74.0,23.0,61.0,17.0,66.0,15.0,75.0,23.0,78.0,75.0,92.0,10.0,14.0,34.0,15.0],[33.0,7.0,12.0,37.0,40.0,28.0,76.0,10.0,73.0,90.0,72.0,89.0,9.0,75.0,12.0,32.0,39.0,96.0,92.0,5.0,44.0,13.0,100.0,63.0,89.0,92.0,66.0,63.0,30.0,45.0]] +[64.0,23.0,52.0,41.0,90.0,46.0,74.0,74.0,36.0,10.0,36.0,29.0,22.0,84.0,13.0,65.0,42.0,14.0,58.0,88.0,77.0,52.0,51.0,35.0,1.0,37.0,58.0,78.0,54.0,14.0] diff --git a/papers/Dowson_et_al_2026/MOKP/README.md b/papers/Dowson_et_al_2026/MOKP/README.md new file mode 100644 index 0000000..863d186 --- /dev/null +++ b/papers/Dowson_et_al_2026/MOKP/README.md @@ -0,0 +1,22 @@ +# MOKP + +The files in this directory were copied from https://github.com/tambysatya/TamVan19/tree/master/Instances/MOKP. + +They are redistributed here under the BSD-3 license available in the `LICENSE` +file in this directory. + +If you use these instances, please cite the original paper using the following +BibTeX: + +```bibtex +@article{tamby2021enumeration, + title={Enumeration of the nondominated set of multiobjective discrete optimization problems}, + author={Tamby, Satya and Vanderpooten, Daniel}, + journal={INFORMS Journal on Computing}, + volume={33}, + number={1}, + pages={72--85}, + year={2021}, + publisher={INFORMS} +} +``` diff --git a/papers/Dowson_et_al_2026/Project.toml b/papers/Dowson_et_al_2026/Project.toml new file mode 100644 index 0000000..0c77814 --- /dev/null +++ b/papers/Dowson_et_al_2026/Project.toml @@ -0,0 +1,15 @@ +[deps] +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" +Gurobi = "2e9cd046-0924-5485-92f1-d5272153d98b" +HiGHS = "87dc4568-4c63-4d18-b0c0-bb2238e4078b" +JuMP = "4076af6c-e467-56ae-b986-b466b2749572" +MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee" +MultiObjectiveAlgorithms = "0327d340-17cd-11ea-3e99-2fd5d98cecda" + +[compat] +DataFrames = "1" +Gurobi = "1" +HiGHS = "1" +JuMP = "1" +MathOptInterface = "1" +MultiObjectiveAlgorithms = "1" diff --git a/papers/Dowson_et_al_2026/README.md b/papers/Dowson_et_al_2026/README.md new file mode 100644 index 0000000..f0bcaf3 --- /dev/null +++ b/papers/Dowson_et_al_2026/README.md @@ -0,0 +1,14 @@ +# MultiObjectiveAlgorithms.jl: a Julia pacakge for solving multi-objective optimization problems + +The code in this directory implements the numerical experiments contained +Section 3 of the paper +[MultiObjectiveAlgorithms.jl: a Julia package for solving multi-objective optimization problems](https://doi.org/10.1287/ijoc.2025.1449) +by Oscar Dowson, Xavier Gandibleux, and Gökhan Kof. + +Run the benchmark as follows: +``` +$ julia --project=. main.jl +``` + +The outputs we obtained are given in `results.log`. The output is summarized +into `final_results.out`, which is Table 2 in the paper. diff --git a/papers/Dowson_et_al_2026/final_results.out b/papers/Dowson_et_al_2026/final_results.out new file mode 100644 index 0000000..2df3e4f --- /dev/null +++ b/papers/Dowson_et_al_2026/final_results.out @@ -0,0 +1,8 @@ +2 & 200 & \texttt{Dichotomy} & Gurobi & 34.7 & 68.9 & 1 & 88 \\ +2 & 200 & \texttt{Dichotomy} & HiGHS & 34.9 & 68.1 & 6 & 98 \\ +2 & 200 & \texttt{EpsilonConstraint} & Gurobi & 405.4 & 813.8 & 29 & 99 \\ +2 & 200 & \texttt{EpsilonConstraint} & HiGHS & 405.4 & 813.8 & 351 & 100 \\ +2 & 200 & \texttt{TambyVanderpooten} & Gurobi & 405.4 & 818.2 & 31 & 99 \\ +2 & 200 & \texttt{TambyVanderpooten} & HiGHS & 405.4 & 818.6 & 366 & 100 \\ +3 & 100 & \texttt{TambyVanderpooten} & Gurobi & 4090.0 & 14724.4 & 673 & 97 \\ +4 & 50 & \texttt{TambyVanderpooten} & Gurobi & 2240.1 & 20570.2 & 1042 & 68 \\ diff --git a/papers/Dowson_et_al_2026/main.jl b/papers/Dowson_et_al_2026/main.jl new file mode 100644 index 0000000..efa30ca --- /dev/null +++ b/papers/Dowson_et_al_2026/main.jl @@ -0,0 +1,102 @@ +# Copyright 2019, Oscar Dowson and contributors +# This Source Code Form is subject to the terms of the Mozilla Public License, +# v.2.0. If a copy of the MPL was not distributed with this file, You can +# obtain one at http://mozilla.org/MPL/2.0/. + +using JuMP +import DataFrames +import Gurobi +import HiGHS +import MathOptInterface +import MultiObjectiveAlgorithms as MOA +import Statistics + +function solve_tamby_mokp(; + p::Int, + n::Int, + instance::Int, + optimizer::Any, + algorithm::MOA.AbstractAlgorithm, + silent::Bool = false, +) + filename = joinpath(@__DIR__, "MOKP", "MOKP_p-$(p)_n-$(n)_$(instance).dat") + lines = readlines(filename) + @assert p == parse(Int, lines[1]) + @assert n == parse(Int, lines[2]) + b = parse(Float64, lines[3]) + C = reduce(vcat, [Float64.(x.args) for x in Meta.parse(lines[4]).args]') + w = Meta.parse(lines[5]).args + model = Model(() -> MOA.Optimizer(optimizer)) + if silent + set_silent(model) + end + set_attribute(model, MOA.Algorithm(), algorithm) + @variable(model, x[1:n], Bin) + @constraint(model, w' * x <= b) + @objective(model, Max, C * x) + optimize!(model) + return (; + p, + n, + instance, + termination_status = termination_status(model), + result_count = result_count(model), + solve_time = solve_time(model), + solve_time_inner = get_attribute(model, MOA.SolveTimeSecInner()), + subproblem_count = get_attribute(model, MOA.SubproblemCount()), + ) +end + +ALGORITHMS = Dict( + "TambyVanderpooten" => MOA.TambyVanderpooten(), + "Dichotomy" => MOA.Dichotomy(), + "EpsilonConstraint" => MOA.EpsilonConstraint(), +) + +OPTIMIZERS = Dict("HiGHS" => HiGHS.Optimizer, "Gurobi" => Gurobi.Optimizer) + +TESTSETS = Dict( + (2, 200) => ( + ["TambyVanderpooten", "Dichotomy", "EpsilonConstraint"], + ["HiGHS", "Gurobi"], + ), + (3, 100) => (["TambyVanderpooten"], ["Gurobi"]), + (4, 50) => (["TambyVanderpooten"], ["Gurobi"]), +) + +results_filename = "results.log" +results = Any[] +for ((p, n), (algorithms, solvers)) in TESTSETS, instance in 1:10 + for alg in algorithms, solver in solvers + algorithm, optimizer = ALGORITHMS[alg], OPTIMIZERS[solver] + println("Running: p-$(p)_n-$(n)_$(instance) :: $alg :: $solver") + ret = solve_tamby_mokp(; p, n, instance, optimizer, algorithm) + push!(results, (; solver, alg, ret...)) + open(results_filename, "a") do io + return println(io, results[end]) + end + end +end + +l = eval.(Meta.parse.(readlines(results_filename))) +df = DataFrames.DataFrame(l) +df.percent_time = 100 .* df.solve_time_inner ./ df.solve_time +ret = DataFrames.combine( + DataFrames.groupby(df, [:p, :n, :alg, :solver]), + :result_count => Statistics.mean => :result_count, + :solve_time => Statistics.mean => :solve_time, + :subproblem_count => Statistics.mean => :subproblem_count, + :percent_time => Statistics.mean => :percent_time, +) +ret.solve_time .= max.(1, round.(Int, ret.solve_time)) +ret.percent_time .= max.(1, round.(Int, ret.percent_time)) +sort!(ret, [:p, :n, :alg, :solver]) +open("final_results.out", "w") do io + for row in eachrow(ret) + print(io, row.p, " & ", row.n, " & \\texttt{", row.alg, "} & ") + print(io, row.solver, " & ", row.result_count, " & ") + print(io, row.subproblem_count, " & ", row.solve_time, " & ") + println(io, row.percent_time, " \\\\") + end + return +end diff --git a/papers/Dowson_et_al_2026/results.log b/papers/Dowson_et_al_2026/results.log new file mode 100644 index 0000000..e04e530 --- /dev/null +++ b/papers/Dowson_et_al_2026/results.log @@ -0,0 +1,80 @@ +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 317, solve_time = 196.04394578933716, solve_time_inner = 194.458176612854, subproblem_count = 640) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 317, solve_time = 16.219459056854248, solve_time_inner = 15.659573078155518, subproblem_count = 642) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 36, solve_time = 5.7702929973602295, solve_time_inner = 5.22225022315979, subproblem_count = 73) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 35, solve_time = 0.36580681800842285, solve_time_inner = 0.27648186683654785, subproblem_count = 71) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 317, solve_time = 198.75582003593445, solve_time_inner = 198.28826117515564, subproblem_count = 637) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 317, solve_time = 15.500982999801636, solve_time_inner = 15.19664740562439, subproblem_count = 637) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 267.65283393859863, solve_time_inner = 267.4451379776001, subproblem_count = 640) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 19.92961812019348, solve_time_inner = 19.668272972106934, subproblem_count = 638) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 30, solve_time = 5.856432914733887, solve_time_inner = 5.82422399520874, subproblem_count = 58) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 30, solve_time = 0.2924318313598633, solve_time_inner = 0.2561936378479004, subproblem_count = 59) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 246.6378149986267, solve_time_inner = 246.4473524093628, subproblem_count = 635) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 19.895798206329346, solve_time_inner = 19.504632711410522, subproblem_count = 635) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 399, solve_time = 319.7194061279297, solve_time_inner = 319.4632897377014, subproblem_count = 806) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 399, solve_time = 26.8372540473938, solve_time_inner = 26.54011368751526, subproblem_count = 804) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 28, solve_time = 6.435950040817261, solve_time_inner = 6.409900903701782, subproblem_count = 55) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 30, solve_time = 0.3382539749145508, solve_time_inner = 0.3091435432434082, subproblem_count = 59) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 399, solve_time = 303.33588004112244, solve_time_inner = 303.1364026069641, subproblem_count = 801) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 399, solve_time = 26.74665093421936, solve_time_inner = 26.533941984176636, subproblem_count = 801) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 275.37560200691223, solve_time_inner = 275.2028315067291, subproblem_count = 638) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 23.866703987121582, solve_time_inner = 23.633862018585205, subproblem_count = 638) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 33, solve_time = 6.0884010791778564, solve_time_inner = 6.057209253311157, subproblem_count = 67) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 32, solve_time = 0.3146531581878662, solve_time_inner = 0.283156156539917, subproblem_count = 65) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 258.7073760032654, solve_time_inner = 258.5490572452545, subproblem_count = 635) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 316, solve_time = 21.853223085403442, solve_time_inner = 21.683268785476685, subproblem_count = 635) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 358, solve_time = 298.8317930698395, solve_time_inner = 298.6340401172638, subproblem_count = 724) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 358, solve_time = 28.165010929107666, solve_time_inner = 27.8668851852417, subproblem_count = 724) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 32, solve_time = 5.706939935684204, solve_time_inner = 5.677459239959717, subproblem_count = 63) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 33, solve_time = 0.32706308364868164, solve_time_inner = 0.2952556610107422, subproblem_count = 65) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 358, solve_time = 284.4516110420227, solve_time_inner = 284.2534384727478, subproblem_count = 719) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 358, solve_time = 24.073975086212158, solve_time_inner = 23.824392795562744, subproblem_count = 719) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 464, solve_time = 423.3860239982605, solve_time_inner = 423.00174164772034, subproblem_count = 940) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 464, solve_time = 37.15689206123352, solve_time_inner = 36.74417543411255, subproblem_count = 934) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 42, solve_time = 7.011925935745239, solve_time_inner = 6.967680215835571, subproblem_count = 80) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 41, solve_time = 0.535754919052124, solve_time_inner = 0.4864993095397949, subproblem_count = 81) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 464, solve_time = 397.1415328979492, solve_time_inner = 396.86396503448486, subproblem_count = 931) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 464, solve_time = 34.940770864486694, solve_time_inner = 34.631598711013794, subproblem_count = 931) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 518, solve_time = 564.0020081996918, solve_time_inner = 563.6895637512207, subproblem_count = 1044) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 518, solve_time = 45.58885097503662, solve_time_inner = 45.19323182106018, subproblem_count = 1048) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 36, solve_time = 6.692201852798462, solve_time_inner = 6.660238027572632, subproblem_count = 69) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 36, solve_time = 0.37345218658447266, solve_time_inner = 0.3380587100982666, subproblem_count = 72) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 518, solve_time = 561.3709568977356, solve_time_inner = 561.0605051517487, subproblem_count = 1039) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 518, solve_time = 42.66166400909424, solve_time_inner = 42.31454038619995, subproblem_count = 1039) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 475, solve_time = 436.20413398742676, solve_time_inner = 435.79942297935486, subproblem_count = 956) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 475, solve_time = 35.652700901031494, solve_time_inner = 35.23336863517761, subproblem_count = 958) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 32, solve_time = 4.448751926422119, solve_time_inner = 4.41410756111145, subproblem_count = 63) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 33, solve_time = 0.32622718811035156, solve_time_inner = 0.286118745803833, subproblem_count = 65) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 475, solve_time = 423.86522603034973, solve_time_inner = 423.5731384754181, subproblem_count = 953) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 475, solve_time = 34.53548002243042, solve_time_inner = 34.219661712646484, subproblem_count = 953) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 462, solve_time = 449.35695815086365, solve_time_inner = 449.05692982673645, subproblem_count = 934) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 462, solve_time = 37.5909309387207, solve_time_inner = 37.17204523086548, subproblem_count = 932) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 39, solve_time = 6.9574360847473145, solve_time_inner = 6.916377067565918, subproblem_count = 74) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 38, solve_time = 0.4207029342651367, solve_time_inner = 0.37457799911499023, subproblem_count = 75) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 462, solve_time = 431.9298059940338, solve_time_inner = 431.6486756801605, subproblem_count = 927) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 462, solve_time = 35.850919008255005, solve_time_inner = 35.542898178100586, subproblem_count = 927) +(solver = "HiGHS", alg = "TambyVanderpooten", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 429, solve_time = 426.5373601913452, solve_time_inner = 426.26202273368835, subproblem_count = 864) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 429, solve_time = 34.705591917037964, solve_time_inner = 34.220301389694214, subproblem_count = 864) +(solver = "HiGHS", alg = "Dichotomy", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 41, solve_time = 6.386368036270142, solve_time_inner = 6.258953809738159, subproblem_count = 79) +(solver = "Gurobi", alg = "Dichotomy", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 39, solve_time = 0.3685288429260254, solve_time_inner = 0.32085371017456055, subproblem_count = 77) +(solver = "HiGHS", alg = "EpsilonConstraint", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 429, solve_time = 405.61715507507324, solve_time_inner = 405.3582682609558, subproblem_count = 861) +(solver = "Gurobi", alg = "EpsilonConstraint", p = 2, n = 200, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 429, solve_time = 32.1867299079895, solve_time_inner = 31.90466809272766, subproblem_count = 861) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 5421, solve_time = 1067.0044050216675, solve_time_inner = 1028.62029337883, subproblem_count = 19442) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 4073, solve_time = 704.7210280895233, solve_time_inner = 683.5265402793884, subproblem_count = 14618) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 4304, solve_time = 716.1249721050262, solve_time_inner = 692.7898466587067, subproblem_count = 15438) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 3422, solve_time = 524.856379032135, solve_time_inner = 508.7986807823181, subproblem_count = 12540) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 1891, solve_time = 242.9242389202118, solve_time_inner = 236.61715030670166, subproblem_count = 6906) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 3554, solve_time = 577.0537641048431, solve_time_inner = 561.4114243984222, subproblem_count = 12874) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 4900, solve_time = 853.6119639873505, solve_time_inner = 821.4228689670563, subproblem_count = 17556) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 5529, solve_time = 917.5296881198883, solve_time_inner = 875.8837420940399, subproblem_count = 19536) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 3645, solve_time = 497.7583591938019, solve_time_inner = 481.4745457172394, subproblem_count = 13288) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 3, n = 100, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 4161, solve_time = 623.6996531486511, solve_time_inner = 602.6005063056946, subproblem_count = 15046) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 1, termination_status = MathOptInterface.OPTIMAL, result_count = 1409, solve_time = 321.32815504074097, solve_time_inner = 242.02579712867737, subproblem_count = 13378) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 2, termination_status = MathOptInterface.OPTIMAL, result_count = 1892, solve_time = 577.4459369182587, solve_time_inner = 397.25908398628235, subproblem_count = 16960) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 3, termination_status = MathOptInterface.OPTIMAL, result_count = 1579, solve_time = 350.33669686317444, solve_time_inner = 258.0410351753235, subproblem_count = 13464) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 4, termination_status = MathOptInterface.OPTIMAL, result_count = 1565, solve_time = 487.71918392181396, solve_time_inner = 388.3663604259491, subproblem_count = 14480) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 5, termination_status = MathOptInterface.OPTIMAL, result_count = 2347, solve_time = 947.6427581310272, solve_time_inner = 633.9736180305481, subproblem_count = 21044) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 6, termination_status = MathOptInterface.OPTIMAL, result_count = 1234, solve_time = 297.28953099250793, solve_time_inner = 248.9057068824768, subproblem_count = 10840) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 7, termination_status = MathOptInterface.OPTIMAL, result_count = 1760, solve_time = 569.7614209651947, solve_time_inner = 429.87168979644775, subproblem_count = 15838) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 8, termination_status = MathOptInterface.OPTIMAL, result_count = 3496, solve_time = 2041.2584509849548, solve_time_inner = 1113.7924129962921, subproblem_count = 31854) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 9, termination_status = MathOptInterface.OPTIMAL, result_count = 2717, solve_time = 1354.5465199947357, solve_time_inner = 792.1069486141205, subproblem_count = 26890) +(solver = "Gurobi", alg = "TambyVanderpooten", p = 4, n = 50, instance = 10, termination_status = MathOptInterface.OPTIMAL, result_count = 4402, solve_time = 3472.2469830513, solve_time_inner = 1501.290066242218, subproblem_count = 40954)