disctom

binary set_partitioning cardinality

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	10000	399	7.5188e-03	easy	–	-5000	disctom.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	10000	9991
Constraints	399	394
Binaries	10000	9991
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00751880	0.00761421
Nonzeroes	30000	29973

Constraint Classification Properties
	Original	Presolved
Total	399	394
Empty	0	0
Free	0	0
Singleton	2	0
Aggregations	2	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	1	1
Set Packing	0	0
Set Covering	0	0
Cardinality	394	393
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	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	0.301030
Constraint %		0.253807	0.253807	0.253807	0.253807
Variable %		0.040032	0.040032	0.040032	0.040032
Score	0.002537

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	-5000	-5000	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to disctom 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
datt256	open	262144	262144	0	11077	1503732	Jon Dattorro	–		no_solution binary set_partitioning cardinality
tbfp-network	easy	72747	72747	0	2436	215837	Rob Pratt	–	24.16319444	benchmark binary benchmark_suitable set_partitioning cardinality
supportcase6	easy	130052	130051	1	771	584976	Michael Winkler	–	51906.47737	benchmark benchmark_suitable set_partitioning cardinality general_linear
s100	hard	364417	364417	0	14733	1777917	Daniel Espinoza	Spinoza	-0.1697235270583	benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack
neos-4531126-vouga	open	169996	169996	0	7694	967980	Jeff Linderoth	neos-pseudoapplication-87	525030.8846192999*	binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary

Reference

No bibliographic information available