app3

variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Emilie Danna	3080	766	6.23368e-03	easy	app	5751714.3289	app3.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	3080	1731
Constraints	766	384
Binaries	100	80
Integers	0	0
Continuous	2980	1651
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00623368	0.00788020
Nonzeroes	14707	5238

Constraint Classification Properties
	Original	Presolved
Total	766	384
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	80	80
Set Partitioning	0	0
Set Packing	5	4
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	681	300
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	0.698970
Constraint %		5.46875	5.46875	5.46875	5.46875
Variable %		2.31080	2.31080	2.31080	2.31080
Score	0.213695

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	5751714	5751714	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to app3 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
khb05250	easy	1350	24	1326	101	2700	MIPLIB submission pool	–	106940225.9999999	variable_bound mixed_binary
neos-4954672-berkel	easy	1533	630	903	1848	8007	Jeff Linderoth	neos-pseudoapplication-43	2612710	benchmark benchmark_suitable aggregations variable_bound mixed_binary
dcmulti	easy	548	75	473	290	1315	MIPLIB submission pool	–	188182	decomposition precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary
bmoipr2	easy	20503	8434	12069	13897	54649	Sean MacDermant	–	-46416168.2981393	decomposition numerics aggregations variable_bound set_packing mixed_binary
neos-3762025-ognon	easy	4673	948	3725	2784	25384	Jeff Linderoth	neos-pseudoapplication-3	607171.5030499999	decomposition numerics variable_bound mixed_binary

Reference

No bibliographic information available