supportcase34

benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack integer_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	17879	15170	2.76113e-03	easy	–	83.99999985999999	supportcase34.mps.gz

Instance coming from IBM developerWorks 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	17879	9412
Constraints	15170	9780
Binaries	11196	4486
Integers	6682	4926
Continuous	1	0
Implicit Integers	0	0
Fixed Variables	6712	0
Nonzero Density	0.00276113	0.00566006
Nonzeroes	748887	521005

Constraint Classification Properties
	Original	Presolved
Total	15170	9780
Empty	0	0
Free	0	0
Singleton	1948	0
Aggregations	0	593
Precedence	0	90
Variable Bound	2263	877
Set Partitioning	390	390
Set Packing	0	0
Set Covering	0	0
Cardinality	390	195
Invariant Knapsack	875	2340
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	267	128
Integer Knapsack	123	115
Mixed Binary	1675	98
General Linear	7239	4954
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	0.4771212
Constraint %		36.7307	43.2115	43.2115	49.6923
Variable %		39.4722	50.0000	50.0000	60.5278
Score	0.4184690

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	84	84	1e-06	1e-06	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase34 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
triptim4	hard	27226	18537	8682	7	14361	520532	MIPLIB submission pool	triptim	9.818099999800323	aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear
triptim1	easy	30055	20456	9592	7	15706	515436	MIPLIB submission pool	triptim	22.8680999999999	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear
triptim2	hard	27326	20776	6543	7	14427	521898	MIPLIB submission pool	triptim	12.0051	aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack general_linear
triptim7	easy	27342	18619	8716	7	14427	521944	MIPLIB submission pool	triptim	2566.02	aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear
triptim8	hard	27342	18619	8716	7	14427	521945	MIPLIB submission pool	triptim	2566.065999999642	aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available