Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
Tamas Terlaky | 2688 | 5628 | 9.65358e-04 | easy | milo | 326481.14282799 | milo-v12-6-r2-40-1.mps.gz |
The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 2688 | 2688 |
Constraints | 5628 | 5208 |
Binaries | 840 | 840 |
Integers | 0 | 210 |
Continuous | 1848 | 1638 |
Implicit Integers | 0 | 210 |
Fixed Variables | 0 | 0 |
Nonzero Density | 0.000965358 | 0.001013210 |
Nonzeroes | 14604 | 14184 |
Original | Presolved | |
---|---|---|
Total | 5628 | 5208 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 420 | 0 |
Aggregations | 216 | 216 |
Precedence | 630 | 630 |
Variable Bound | 1890 | 1890 |
Set Partitioning | 0 | 0 |
Set Packing | 0 | 0 |
Set Covering | 0 | 0 |
Cardinality | 0 | 0 |
Invariant Knapsack | 0 | 0 |
Equation Knapsack | 0 | 0 |
Bin Packing | 0 | 0 |
Knapsack | 0 | 0 |
Integer Knapsack | 0 | 0 |
Mixed Binary | 2472 | 2262 |
General Linear | 0 | 210 |
Indicator | 0 | 0 |
Available nonzero structure and decomposition information. Further information can be found here.
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
value | min | median | mean | max | |
---|---|---|---|---|---|
Components | 2.100371 | ||||
Constraint % | 0.403226 | 0.722888 | 0.403226 | 36.7512 | |
Variable % | 0.409226 | 0.800000 | 0.409226 | 38.8021 | |
Score | 0.756297 |
Find solutions below. Download the archive containing all solutions from the Download page.
ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|
1 | 326481.1 | 326481.1 | 0 | 3.8e-06 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |
The following instances are most similar to milo-v12-6-r2-40-1 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.
Instance | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|
milo-v12-6-r1-58-1 | hard | 4440 | 1500 | 0 | 2940 | 9540 | 25068 | Tamas Terlaky | milo | 634081.4112039516 | decomposition aggregations precedence variable_bound mixed_binary general_linear |
milo-v12-6-r1-75-1 | open | 5698 | 1925 | 0 | 3773 | 12243 | 32174 | Tamas Terlaky | milo | 1153756.39820567* | decomposition aggregations precedence variable_bound mixed_binary general_linear |
milo-v13-4-3d-4-0 | open | 688 | 160 | 0 | 528 | 1328 | 3292 | Tamas Terlaky | milo | 358152.2621937089* | aggregations variable_bound mixed_binary general_linear |
milo-v13-4-3d-3-0 | hard | 516 | 120 | 0 | 396 | 996 | 2456 | Tamas Terlaky | milo | 273238.08563337 | aggregations variable_bound mixed_binary general_linear |
neos-4292145-piako | open | 32950 | 13370 | 0 | 19580 | 75834 | 190186 | Jeff Linderoth | neos-pseudoapplication-57 | 19809.5007749* | aggregations precedence variable_bound invariant_knapsack mixed_binary general_linear |
No bibliographic information available