supportcase4

binary feasibility benchmark_suitable aggregations precedence variable_bound invariant_knapsack knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	3162	9492	1.26729e-03	easy	–	0	supportcase4.mps.gz

MIP instances collected from Gurobi forum with unknown application

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	3162	2138
Constraints	9492	6420
Binaries	3162	2138
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00126729	0.00209967
Nonzeroes	38036	28820

Constraint Classification Properties
	Original	Presolved
Total	9492	6420
Empty	0	0
Free	0	0
Singleton	1024	0
Aggregations	2	2
Precedence	0	1000
Variable Bound	0	1048
Set Partitioning	0	0
Set Packing	0	0
Set Covering	6144	0
Cardinality	0	0
Invariant Knapsack	0	2048
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	2064
Integer Knapsack	0	0
Mixed Binary	2322	258
General Linear	0	0
Indicator	0	0

Structure

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

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	1.944483
Constraint %		0.249221	0.733699	0.747664	1.01246
Variable %		0.338092	0.922735	0.939144	1.27724
Score	0.631884

Best Known Solution(s)

No solution available for supportcase4 .

Similar instances in collection

The following instances are most similar to supportcase4 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
supportcase3	easy	4191	4191	0	12702	53470	Michael Winkler	–	0	binary feasibility aggregations precedence variable_bound invariant_knapsack knapsack mixed_binary
bnatt400	easy	3600	3600	0	5614	21698	Tatsuya Akutsu	bnatt	1	benchmark binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
bnatt500	easy	4500	4500	0	7029	27203	Tatsuya Akutsu	bnatt	Infeasible	benchmark infeasible binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack
cryptanalysiskb128n5obj14	hard	48950	47830	1120	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	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