nj3

no_solution decomposition precedence variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jonathan Eckstein	85224	118986	3.72194e-05	open	nj	NA	nj3.mps.gz

Electoral district design with various levels of symmetry breaking constraints.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	85224	85212
Constraints	118986	118962
Binaries	14280	14280
Integers	0	0
Continuous	70944	70932
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	3.72194e-05	3.72274e-05
Nonzeroes	377422	377374

Constraint Classification Properties
	Original	Presolved
Total	118986	118962
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	7128	7116
Variable Bound	66324	66312
Set Partitioning	607	607
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	44927	44927
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	1.079181
Constraint %		8.29004	9.04452	8.29088	16.5818
Variable %		8.33333	9.09091	8.33333	16.6667
Score	0.898171

Best Known Solution(s)

No solution available for nj3 .

Similar instances in collection

The following instances are most similar to nj3 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
nj2	open	85224	14280	70944	118975	364332	Jonathan Eckstein	nj		no_solution decomposition precedence variable_bound set_partitioning mixed_binary
nj1	open	78084	14280	63804	97579	321540	Jonathan Eckstein	nj		no_solution decomposition variable_bound set_partitioning mixed_binary
neos-799711	easy	41998	910	41088	59218	147164	NEOS Server Submission	neos-pseudoapplication-25	-11170211.734	numerics aggregations precedence variable_bound set_partitioning set_packing cardinality mixed_binary
neos-5078479-escaut	easy	3471	1330	2141	3442	9062	Jeff Linderoth	neos-pseudoapplication-35	9682.338178668055	benchmark_suitable aggregations variable_bound mixed_binary
bharat	open	590519	122614	467905	1299953	3565462	Gavin Goodall	–	4170993.421512462*	numerics aggregations precedence variable_bound mixed_binary

Reference

No bibliographic information available