neos-826224

decomposition set_partitioning set_packing cardinality binpacking mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	41820	17266	1.77048e-04	easy	neos-pseudoapplication-87	121	neos-826224.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	41820	40630
Constraints	17266	17266
Binaries	27540	27540
Integers	0	13090
Continuous	14280	0
Implicit Integers	0	13090
Fixed Variables	0	0
Nonzero Density	0.000177048	0.000178841
Nonzeroes	127840	125460

Constraint Classification Properties
	Original	Presolved
Total	17266	17266
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	23	23
Set Packing	0	2040
Set Covering	0	0
Cardinality	61	13151
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	2040	2040
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	15142	12
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	2.232996
Constraint %		0.584965	0.584965	0.584965	0.584965
Variable %		0.588235	0.588235	0.588235	0.588235
Score	0.988590

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	121	121	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-826224 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
neos-826650	easy	5912	5792	0	120	2414	20440	NEOS Server Submission	neos-pseudoapplication-87	29	decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear
neos-827175	easy	32504	21350	0	11154	14187	110790	NEOS Server Submission	neos-pseudoapplication-87	112.00152	benchmark decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear
datt256	open	262144	262144	0	0	11077	1503732	Jon Dattorro	–		no_solution binary set_partitioning cardinality
rococoC11-010100	hard	12321	12155	166	0	4010	46955	A. Chabrier, E. Danna, C. Le Pape, L. Perron	rococo	20889	decomposition aggregations precedence set_partitioning cardinality invariant_knapsack general_linear
rococoC12-010001	hard	16741	16554	187	0	4636	59832	A. Chabrier, E. Danna, C. Le Pape, L. Perron	rococo	34045.0	decomposition precedence set_partitioning cardinality knapsack general_linear

Reference

No bibliographic information available