cap6000

binary decomposition aggregations precedence variable_bound set_partitioning set_packing knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	6000	2176	3.69508e-03	easy	–	-2451377	cap6000.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	6000	5995
Constraints	2176	2171
Binaries	6000	5995
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00369508	0.00140052
Nonzeroes	48243	18228

Constraint Classification Properties
	Original	Presolved
Total	2176	2171
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	76	76
Precedence	141	141
Variable Bound	81	86
Set Partitioning	47	47
Set Packing	1824	1819
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	2	2
Integer Knapsack	0	0
Mixed Binary	5	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	3.303628
Constraint %		0.0460617	0.0496807	0.0460617	0.2303090
Variable %		0.0333611	0.0496933	0.0500417	0.0834028
Score	0.998568

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	-2451377	-2451377	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cap6000 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
gmu-35-40	easy	1205	1200	5	424	4843	Nora Konnyu	gmu	-2406733.3688	benchmark benchmark_suitable variable_bound set_packing mixed_binary
gmu-35-50	easy	1919	1914	5	435	8643	Nora Konnyu	gmu	-2607958.33	benchmark benchmark_suitable variable_bound set_packing mixed_binary
gmut-76-40	open	24338	24332	6	2586	153017	Nora Konnyu	gmu	-14169441.78*	variable_bound set_packing mixed_binary
bab1	hard	61152	61152	0	60680	854392	Elmar Swarat, Laura Traverso, Julia Buwaya	bab	-218764.88525	binary decomposition aggregations set_packing set_covering cardinality invariant_knapsack knapsack mixed_binary
n3div36	easy	22120	22120	0	4484	340740	R. Meirich	nseq	130800	benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary

Reference

No bibliographic information available