assign1-10-4

set_partitioning cardinality mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Robert Fourer	572	582	8.49494e-02	open	assign1	422*	assign1-10-4.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	572	572
Constraints	582	582
Binaries	520	520
Integers	0	0
Continuous	52	52
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0849494	0.0849494
Nonzeroes	28280	28280

Constraint Classification Properties
	Original	Presolved
Total	582	582
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	52	52
Set Packing	0	0
Set Covering	0	0
Cardinality	10	10
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	520	520
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	1.380211
Constraint %		0.171821	1.21022	0.171821	24.0550
Variable %		1.748250	4.03618	1.748250	54.3706
Score	0.146901

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	422	422	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to assign1-10-4 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
assign1-5-8	easy	156	130	0	26	161	3720	Robert Fourer	assign1	211.999999999998	benchmark benchmark_suitable set_partitioning cardinality mixed_binary
bppc4-08	easy	1456	1454	0	2	111	23964	Manuel Iori	bppc	53	benchmark benchmark_suitable set_partitioning mixed_binary
bppc8-09	easy	431	423	6	2	67	9051	Manuel Iori	bppc	471.9999999999998	benchmark_suitable set_partitioning mixed_binary
rlp1	easy	461	450	0	11	68	836	MIPLIB submission pool	–	14.99999999990919	benchmark_suitable cardinality mixed_binary
bppc6-02	hard	4784	4782	0	2	309	188143	Manuel Iori	bppc	116	set_partitioning mixed_binary

Reference

No bibliographic information available