supportcase20

benchmark_suitable aggregations variable_bound mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	903	903	5.75846e-02	easy	–	45592	supportcase20.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	903	902
Constraints	903	602
Binaries	300	299
Integers	0	1
Continuous	603	602
Implicit Integers	0	1
Fixed Variables	0	0
Nonzero Density	0.0575846	0.0859147
Nonzeroes	46955	46652

Constraint Classification Properties
	Original	Presolved
Total	903	602
Empty	0	0
Free	0	0
Singleton	300	0
Aggregations	1	1
Precedence	0	0
Variable Bound	300	299
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	302	300
General Linear	0	2
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	2.478566
Constraint %		0.166113	0.166113	0.166113	0.166113
Variable %		0.221484	0.221484	0.221484	0.221484
Score	0.497235

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	45592	45592	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase20 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
dano3mip	open	13873	552	13321	3202	79655	Daniel Bienstock	dano	664.0208333333334*	variable_bound cardinality mixed_binary
dano3_5	easy	13873	115	13758	3202	79655	Daniel Bienstock	dano	576.9249159565619	benchmark benchmark_suitable variable_bound cardinality mixed_binary
dano3_3	easy	13873	69	13804	3202	79655	Daniel Bienstock	dano	576.34463303	benchmark benchmark_suitable variable_bound cardinality mixed_binary
dg012142	hard	2080	640	1440	6310	14795	A. Miller	–	2300867	aggregations precedence variable_bound mixed_binary
set3-09	open	4019	1424	2595	3747	13747	Kerem Akartunali	set3	176497.15*	precedence variable_bound mixed_binary

Reference

No bibliographic information available