app2-1

binary decomposition numerics variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Emilie Danna	3283	1038	2.53892e-03	easy	app	19294.125	app2-1.mps.gz

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB. 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	3283	3283
Constraints	1038	1038
Binaries	3283	3283
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00253892	0.00253892
Nonzeroes	8652	8652

Constraint Classification Properties
	Original	Presolved
Total	1038	1038
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	1022	1022
Set Partitioning	0	0
Set Packing	14	14
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2	2
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	2.619093
Constraint %		0.0963391	0.2405	0.1926780	1.252410
Variable %		0.0609199	0.1065	0.0913798	0.426439
Score	0.996610

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	19294.12		8.1e-06	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to app2-1 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
app2-2	easy	1226	1226	0	335	3130	Emilie Danna	app	212040.3571429	binary decomposition numerics variable_bound set_packing mixed_binary
sp97ar	easy	14101	14101	0	1761	290968	J. Goessens, S. v. Hoessel, L. Kroon	sp9	660705645.759	benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp98ar	easy	15085	15085	0	1435	426148	J. Goessens, S. v. Hoessel, L. Kroon	sp9	529740623.2	benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary
sp97ic	easy	12497	12497	0	1033	316629	J. Goessens, S. v. Hoessel, L. Kroon	sp9	427684487.6799999	binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary
neos-5140963-mincio	easy	196	183	13	184	834	Jeff Linderoth	neos-pseudoapplication-109	14393	benchmark_suitable set_partitioning mixed_binary

Reference

No bibliographic information available