stein9inf

infeasible binary set_covering invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Olivier Guieu	9	14	4.28571e-01	easy	stein	Infeasible	stein9inf.mps.gz

Altered instance from original MIPLIB. A single linear constraint was added to each problem that caused MILP infeasibility while preserving the feasibility of the initial LP relaxation.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	9	9
Constraints	14	14
Binaries	9	9
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.428571	0.428571
Nonzeroes	54	54

Constraint Classification Properties
	Original	Presolved
Total	14	14
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	12	12
Cardinality	0	0
Invariant Knapsack	0	1
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2	1
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	0.30103
Constraint %		100	100	100	100
Variable %		100	100	100	100
Score	0.00000

Best Known Solution(s)

No solution available for stein9inf .

Similar instances in collection

The following instances are most similar to stein9inf 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
stein15inf	easy	15	15	37	135	Olivier Guieu	stein	Infeasible	infeasible binary set_covering invariant_knapsack mixed_binary
stein45inf	easy	45	45	332	1079	Olivier Guieu	stein	Infeasible	infeasible binary variable_bound set_covering invariant_knapsack mixed_binary
f2000	open	4000	4000	10500	29500	M. Winkler	–	1810.0*	binary variable_bound set_covering
seymour	easy	1372	1372	4944	33549	W. Cook, P. Seymour	–	423	benchmark binary benchmark_suitable variable_bound set_covering
ramos3	open	2187	2187	2187	32805	F. Ramos	–	186.0*	binary set_covering

Reference

No bibliographic information available