Problem class 01

Market Split

Multi-dimensional Subset Sum

These instances stress multi-constraint subset-sum structure, where feasibility is easy to state but difficult to certify at useful sizes.

156 Instances
481 Model files
116 Solution files
121 Result rows

Why benchmark these instances

Market Split

A compact feasibility benchmark for partitioning integer data across many simultaneous subset-sum constraints.

Contribute results

Submit a Market Split result

Have a better bound, a new feasible solution, a quantum run, or a useful negative result? QOBLIB accepts benchmark submissions by pull request using the canonical summary CSV template.

Submission sets

Top-level community submission directories for this problem class.

ProblemSubmission setSubmitterDate keyInstancesRowsSource
Market Split 20260308_Arvak_Hinderink Daniel Hinderink (hiq-lab) 2026-03-08 1 1 Directory
Market Split 20250715_SchroeppelShamir_Kempke 2025-07-15 0 0 Directory
Market Split 20250715_Lattice_Wassermann 2025-07-15 0 0 Directory
Market Split 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 60 60 Directory
Market Split 20241222_Abs2_Schicker Maximilian Schicker 2024-12-22 60 60 Directory

Result rows

Parsed instance-level summary CSV rows for this problem class.

Problem Instance Submission Submitter Date Objective Model Algorithm Total runtime Source
Market Split ms_03_050_002 20260308_Arvak_Hinderink Daniel Hinderink (hiq-lab) 8. Mar. 2026 -201117 QUBO Stochastic 0.38 CSV
Market Split ms_07_200_500 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 12:02:21 0.0 Binary Linear Program Deterministic 2753.22 CSV
Market Split ms_07_200_398 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 11:35:18 0.0 Binary Linear Program Deterministic 2479.56 CSV
Market Split ms_07_200_370 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 11:24:47 0.0 Binary Linear Program Deterministic 2568.29 CSV
Market Split ms_07_200_248 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 11:17:47 0.0 Binary Linear Program Deterministic 2329.87 CSV
Market Split ms_07_100_006 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 10:09:41 0.0 Binary Linear Program Deterministic 898.13 CSV
Market Split ms_07_100_005 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 10:03:11 0.0 Binary Linear Program Deterministic 887.03 CSV
Market Split ms_07_100_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:59:41 0.0 Binary Linear Program Deterministic 1139.69 CSV
Market Split ms_07_100_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:59:41 0.0 Binary Linear Program Deterministic 1475.69 CSV
Market Split ms_07_050_004 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:48:40 0.0 Binary Linear Program Deterministic 246.32 CSV
Market Split ms_07_050_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:46:09 0.0 Binary Linear Program Deterministic 160.69 CSV
Market Split ms_07_050_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:45:39 0.0 Binary Linear Program Deterministic 166.84 CSV
Market Split ms_07_050_001 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:45:39 0.0 Binary Linear Program Deterministic 206.56 CSV
Market Split ms_06_200_289 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:44:09 0.0 Binary Linear Program Deterministic 22.77 CSV
Market Split ms_06_200_240 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:43:09 0.0 Binary Linear Program Deterministic 27.65 CSV
Market Split ms_06_200_104 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:43:09 0.0 Binary Linear Program Deterministic 28.42 CSV
Market Split ms_06_200_077 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:41:39 0.0 Binary Linear Program Deterministic 15.49 CSV
Market Split ms_06_100_010 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:39:08 0.0 Binary Linear Program Deterministic 114.01 CSV
Market Split ms_06_100_005 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:38:08 0.0 Binary Linear Program Deterministic 70.29 CSV
Market Split ms_06_100_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:37:38 0.0 Binary Linear Program Deterministic 61.7 CSV
Market Split ms_06_100_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:37:38 0.0 Binary Linear Program Deterministic 45.33 CSV
Market Split ms_06_050_004 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:38 0.0 Binary Linear Program Deterministic 26.61 CSV
Market Split ms_06_050_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:38 0.0 Binary Linear Program Deterministic 11.14 CSV
Market Split ms_06_050_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:38 0.0 Binary Linear Program Deterministic 14.01 CSV
Market Split ms_06_050_001 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:38 0.0 Binary Linear Program Deterministic 6.75 CSV
Market Split ms_05_200_199 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:08 0.0 Binary Linear Program Deterministic 0.97 CSV
Market Split ms_05_200_180 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:08 0.0 Binary Linear Program Deterministic 1.04 CSV
Market Split ms_05_200_095 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:08 0.0 Binary Linear Program Deterministic 1.07 CSV
Market Split ms_05_200_070 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:36:08 0.0 Binary Linear Program Deterministic 0.9 CSV
Market Split ms_05_100_015 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:38 0.0 Binary Linear Program Deterministic 0.92 CSV
Market Split ms_05_100_013 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:38 0.0 Binary Linear Program Deterministic 0.65 CSV
Market Split ms_05_100_006 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:38 0.0 Binary Linear Program Deterministic 0.87 CSV
Market Split ms_05_100_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:38 0.0 Binary Linear Program Deterministic 0.69 CSV
Market Split ms_05_050_004 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:08 0.0 Binary Linear Program Deterministic 0.76 CSV
Market Split ms_05_050_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:08 0.0 Binary Linear Program Deterministic 0.8 CSV
Market Split ms_05_050_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:08 0.0 Binary Linear Program Deterministic 0.66 CSV
Market Split ms_05_050_001 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:35:08 0.0 Binary Linear Program Deterministic 0.7 CSV
Market Split ms_04_200_176 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:38 0.0 Binary Linear Program Deterministic 0.96 CSV
Market Split ms_04_200_174 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:38 0.0 Binary Linear Program Deterministic 0.31 CSV
Market Split ms_04_200_150 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:38 0.0 Binary Linear Program Deterministic 0.87 CSV
Market Split ms_04_200_030 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:38 0.0 Binary Linear Program Deterministic 0.9 CSV
Market Split ms_04_100_015 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:08 0.0 Binary Linear Program Deterministic 1.14 CSV
Market Split ms_04_100_013 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:08 0.0 Binary Linear Program Deterministic 0.89 CSV
Market Split ms_04_100_009 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:08 0.0 Binary Linear Program Deterministic 0.68 CSV
Market Split ms_04_100_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:34:08 0.0 Binary Linear Program Deterministic 1.0 CSV
Market Split ms_04_050_005 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:38 0.0 Binary Linear Program Deterministic 0.5 CSV
Market Split ms_04_050_004 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:38 0.0 Binary Linear Program Deterministic 1.1 CSV
Market Split ms_04_050_003 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:38 0.0 Binary Linear Program Deterministic 0.98 CSV
Market Split ms_04_050_001 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:38 0.0 Binary Linear Program Deterministic 2.84 CSV
Market Split ms_03_200_177 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:08 0.0 Binary Linear Program Deterministic 0.17 CSV
Market Split ms_03_200_161 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:08 0.0 Binary Linear Program Deterministic 0.12 CSV
Market Split ms_03_200_068 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:08 0.0 Binary Linear Program Deterministic 0.15 CSV
Market Split ms_03_200_050 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:33:08 0.0 Binary Linear Program Deterministic 0.15 CSV
Market Split ms_03_100_022 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:38 0.0 Binary Linear Program Deterministic 0.12 CSV
Market Split ms_03_100_019 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:38 0.0 Binary Linear Program Deterministic 0.23 CSV
Market Split ms_03_100_012 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:38 0.0 Binary Linear Program Deterministic 0.16 CSV
Market Split ms_03_100_001 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:38 0.0 Binary Linear Program Deterministic 0.23 CSV
Market Split ms_03_050_009 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:08 0.0 Binary Linear Program Deterministic 0.02 CSV
Market Split ms_03_050_007 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:08 0.0 Binary Linear Program Deterministic 0.17 CSV
Market Split ms_03_050_005 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:08 0.0 Binary Linear Program Deterministic 0.01 CSV
Market Split ms_03_050_002 20241224_Gurobi_Schicker Maximilian Schicker 2024-12-23 09:32:08 0.0 Binary Linear Program Deterministic 0.16 CSV
Market Split ms_07_200_500 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 26 QUBO Deterministic 600.108209 CSV
Market Split ms_07_200_398 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 36 QUBO Deterministic 600.100455 CSV
Market Split ms_07_200_370 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 19 QUBO Deterministic 600.101658 CSV
Market Split ms_07_200_248 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 22 QUBO Deterministic 600.101984 CSV
Market Split ms_07_100_006 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 4 QUBO Deterministic 600.107245 CSV
Market Split ms_07_100_005 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 12 QUBO Deterministic 600.101031 CSV
Market Split ms_07_100_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 5 QUBO Deterministic 600.100547 CSV
Market Split ms_07_100_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 7 QUBO Deterministic 600.101912 CSV
Market Split ms_07_050_004 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 1 QUBO Deterministic 600.098002 CSV
Market Split ms_07_050_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 2 QUBO Deterministic 600.108237 CSV
Market Split ms_07_050_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 2 QUBO Deterministic 600.101964 CSV
Market Split ms_07_050_001 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 1 QUBO Deterministic 600.099805 CSV
Market Split ms_06_200_289 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 473.575552 CSV
Market Split ms_06_200_240 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 2 QUBO Deterministic 7200.099547 CSV
Market Split ms_06_200_104 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 1 QUBO Deterministic 7200.099811 CSV
Market Split ms_06_200_077 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 3 QUBO Deterministic 7200.109388 CSV
Market Split ms_06_100_010 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 2052.40022 CSV
Market Split ms_06_100_005 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 1 QUBO Deterministic 7200.102591 CSV
Market Split ms_06_100_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 1 QUBO Deterministic 600.103222 CSV
Market Split ms_06_100_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 2 QUBO Deterministic 600.110226 CSV
Market Split ms_06_050_004 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 31.489273 CSV
Market Split ms_06_050_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 154.872018 CSV
Market Split ms_06_050_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 62.551974 CSV
Market Split ms_06_050_001 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 3230.997628 CSV
Market Split ms_05_200_199 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 2.46601 CSV
Market Split ms_05_200_180 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 159.687087 CSV
Market Split ms_05_200_095 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 309.270877 CSV
Market Split ms_05_200_070 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 47.028723 CSV
Market Split ms_05_100_015 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 167.173741 CSV
Market Split ms_05_100_013 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 160.121463 CSV
Market Split ms_05_100_006 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 225.430747 CSV
Market Split ms_05_100_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 7.774432 CSV
Market Split ms_05_050_004 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 6.18652 CSV
Market Split ms_05_050_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 5.849204 CSV
Market Split ms_05_050_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 31.750981 CSV
Market Split ms_05_050_001 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 9.60591 CSV
Market Split ms_04_200_176 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.386963 CSV
Market Split ms_04_200_174 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 1.879598 CSV
Market Split ms_04_200_150 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.505015 CSV
Market Split ms_04_200_030 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.61052 CSV
Market Split ms_04_100_015 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.368127 CSV
Market Split ms_04_100_013 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.236793 CSV
Market Split ms_04_100_009 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 1.079545 CSV
Market Split ms_04_100_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.407428 CSV
Market Split ms_04_050_005 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.323827 CSV
Market Split ms_04_050_004 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.638373 CSV
Market Split ms_04_050_003 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.530695 CSV
Market Split ms_04_050_001 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.231479 CSV
Market Split ms_03_200_177 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.251363 CSV
Market Split ms_03_200_161 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.246673 CSV
Market Split ms_03_200_068 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.267825 CSV
Market Split ms_03_200_050 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.246465 CSV
Market Split ms_03_100_022 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.260394 CSV
Market Split ms_03_100_019 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.259412 CSV
Market Split ms_03_100_012 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.267623 CSV
Market Split ms_03_100_001 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.258647 CSV
Market Split ms_03_050_009 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.247072 CSV
Market Split ms_03_050_007 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.219634 CSV
Market Split ms_03_050_005 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.240276 CSV
Market Split ms_03_050_002 20241222_Abs2_Schicker Maximilian Schicker 22. Dec. 2024 0 QUBO Deterministic 0.251919 CSV