supportcase22

benchmark binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	7129	260602	1.19969e-03	open	–	110.0*	supportcase22.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	7129	7129
Constraints	260602	260602
Binaries	7129	7129
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00119969	0.00119969
Nonzeroes	2228830	2228830

Constraint Classification Properties
	Original	Presolved
Total	260602	260602
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	640	640
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	27271	291
Cardinality	0	0
Invariant Knapsack	0	259380
Equation Knapsack	0	0
Bin Packing	290	290
Knapsack	0	1
Integer Knapsack	0	0
Mixed Binary	232401	0
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	0.301030
Constraint %		99.5315	99.5315	99.5315	99.5315
Variable %		96.1706	96.1706	96.1706	96.1706
Score	0.038115

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Submitter	Date	Description
3	110	110	Dongdong Wan	2024-07-01	Taylor Solver - Taylor Lab of Huawei Solver
2	111	111	Menal Guzelsoy	2024-01-02	Found with SAS Optimization concurrent MILP solver.
1	117	117	Peng Lin, Shaowei Cai, Mengchuan Zou, Jinkun Lin	2023-05-03	Computed by local search based on the paper Peng Lin, Shaowei Cai, Mengchuan Zou, and Jinkun Lin. “New Characterizations and Efficient Local Search for General Integer Linear Programming”, arXiv preprint arXiv:2305.00188 (2023).

Similar instances in collection

The following instances are most similar to supportcase22 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
supportcase2	open	2912	2912	0	0	597385	7653928	Michael Winkler	–	65*	binary aggregations set_covering invariant_knapsack binpacking
neos-3402454-bohle	hard	2904	2616	0	288	2897380	8953800	Jeff Linderoth	neos-pseudoapplication-4	Infeasible	benchmark infeasible benchmark_suitable precedence set_partitioning set_covering invariant_knapsack mixed_binary
supportcase10	hard	14770	14770	0	0	165684	555082	Michael Winkler	–	7	benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack
nucorsav	open	55410	49360	0	6050	1812472	26170428	Alexandra M. Newman	–		no_solution precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
supportcase21i	easy	27	24	3	0	7540	95325	Michael Winkler	–	20	indicator numerics set_covering invariant_knapsack general_linear

Reference

No bibliographic information available