supportcase21i

indicator numerics set_covering invariant_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	27	7540	4.68243e-01	easy	–	20	supportcase21i.mps.gz

MIP with Indicator 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	27	24
Constraints	7540	5277
Binaries	24	23
Integers	3	1
Continuous	0	0
Implicit Integers	3	1
Fixed Variables	0	0
Nonzero Density	0.468243	0.482100
Nonzeroes	95325	61057

Constraint Classification Properties
	Original	Presolved
Total	7537	5276
Empty	0	0
Free	1	1
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	1	1
Cardinality	0	0
Invariant Knapsack	0	5273
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	7533	0
General Linear	2	1
Indicator	3	3

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
Constraint %
Variable %
Score

Best Known Solution(s)

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

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	20		0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase21i 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
supportcase22	hard	7129	7129	0	0	260602	2228828	Michael Winkler	–	111.0	benchmark binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack
tw-myciel4	hard	760	759	1	0	8146	27961	Arie Koster	–	10	aggregations precedence variable_bound invariant_knapsack general_linear
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

Reference

No bibliographic information available