supportcase3

binary feasibility aggregations precedence variable_bound invariant_knapsack knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Michael Winkler 4191 12702 1.00443e-03 easy 0 supportcase3.mps.gz

MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). Solved with COPT 7.0 using up to 12 threads in less than 30 minutes

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4191 3167
Constraints 12702 9630
Binaries 4191 3167
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00100443 0.00145104
Nonzeroes 53470 44254
Constraint Classification Properties
Original Presolved
Total 12702 9630
Empty 0 0
Free 0 0
Singleton 1024 0
Aggregations 3 3
Precedence 0 1028
Variable Bound 0 1020
Set Partitioning 0 0
Set Packing 0 0
Set Covering 8192 0
Cardinality 0 0
Invariant Knapsack 0 4096
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 3096
Integer Knapsack 0 0
Mixed Binary 3483 387
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.963788
Constraint % 0.166147 0.701448 0.664590 1.00727
Variable % 0.244765 0.946185 0.897471 1.35980
Score 0.631767

Best Known Solution(s)

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 0 0 0 0 0 Yuji Shinano 2018-11-09 Reported by ParaSCIP using 72 cores

Similar instances in collection

The following instances are most similar to supportcase3 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
supportcase4 easy 3162 3162 0 0 9492 38036 Michael Winkler 0 binary feasibility benchmark_suitable aggregations precedence variable_bound invariant_knapsack knapsack mixed_binary
bnatt400 easy 3600 3600 0 0 5614 21698 Tatsuya Akutsu bnatt 1 benchmark binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
bnatt500 easy 4500 4500 0 0 7029 27203 Tatsuya Akutsu bnatt Infeasible benchmark infeasible binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
cryptanalysiskb128n5obj14 hard 48950 47830 1120 0 98021 292875 Gleb Belov cryptanalysis Infeasible benchmark infeasible feasibility benchmark_suitable aggregations precedence variable_bound set_covering cardinality invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
cryptanalysiskb128n5obj16 easy 48950 47830 1120 0 98021 292875 Gleb Belov cryptanalysis 0 benchmark feasibility benchmark_suitable aggregations precedence variable_bound set_covering cardinality invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available

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