neos-953928

binary decomposition benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	23305	12498	5.83182e-04	easy	neos-pseudoapplication-13	-99.9044444446	neos-953928.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	23305	23214
Constraints	12498	12498
Binaries	23305	23214
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000583182	0.000585154
Nonzeroes	169861	169770

Constraint Classification Properties
	Original	Presolved
Total	12498	12498
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	10640	10641
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	1224	1223
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	257	257
Equation Knapsack	0	0
Bin Packing	257	257
Knapsack	0	120
Integer Knapsack	0	0
Mixed Binary	120	0
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	1.662758
Constraint %		0.552088	2.00477	2.52040	4.08065
Variable %		0.560007	2.21380	2.58895	3.53666
Score	0.878300

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	-99.90444	-99.90444	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-953928 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
cvs08r139-94	easy	1864	1864	2398	6456	Michael Bastubbe	cvs	-116	binary decomposition benchmark_suitable precedence set_packing invariant_knapsack
cvs16r128-89	easy	3472	3472	4633	12528	Michael Bastubbe	cvs	-97	benchmark binary decomposition benchmark_suitable precedence set_packing invariant_knapsack
cvs16r106-72	easy	2848	2848	3608	9888	Michael Bastubbe	cvs	-81	binary decomposition benchmark_suitable precedence set_packing invariant_knapsack
cvs16r89-60	easy	2384	2384	3068	8368	Michael Bastubbe	cvs	-65	binary decomposition benchmark_suitable precedence set_packing invariant_knapsack
cvs16r70-62	easy	2112	2112	3278	8512	Michael Bastubbe	cvs	-42	binary decomposition benchmark_suitable precedence set_packing invariant_knapsack

Reference

No bibliographic information available