core4284-1064

binary variable_bound set_covering invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
A. Caprara, M. Fischetti, P. Toth	21714	4287	2.63322e-03	open	core	1062.0*	core4284-1064.mps.gz

Set covering instance coming from Italian railway models 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	21714	21691
Constraints	4287	4226
Binaries	21705	21691
Integers	0	0
Continuous	9	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00263322	0.00241326
Nonzeroes	245121	221214

Constraint Classification Properties
	Original	Presolved
Total	4287	4226
Empty	0	0
Free	0	0
Singleton	16	0
Aggregations	0	0
Precedence	0	0
Variable Bound	14	12
Set Partitioning	0	0
Set Packing	0	0
Set Covering	4254	4213
Cardinality	0	0
Invariant Knapsack	1	1
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2	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	1.041393
Constraint %		0.023663	0.0283956	0.023663	0.0473261
Variable %		0.009210	0.0092100	0.009210	0.0092100
Score	0.002839

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	Submitter	Date	Description
4	1062	1062	Mars Davletshin	2023-12-02	It was obtained with Huawei OptVerse solver using neural heuristic.
3	1063	1063	Edward Rothberg	2020-05-15	Obtained with Gurobi 9.0 using the solution improvement heuristic
2	1064		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	1067	1067	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to core4284-1064 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
core4872-1529	open	24656	24645	11	4875	218762	A. Caprara, M. Fischetti, P. Toth	core	1530.0*	binary variable_bound set_covering invariant_knapsack
core2536-691	easy	15293	15284	9	2539	177739	A. Caprara, M. Fischetti, P. Toth	core	689	binary benchmark_suitable variable_bound set_covering invariant_knapsack
core2586-950	open	13226	13215	11	2589	104678	A. Caprara, M. Fischetti, P. Toth	core	944.0*	binary variable_bound set_covering invariant_knapsack
rail507	easy	63019	63009	10	509	468878	A. Caprara, M. Fischetti, P. Toth	–	174	benchmark binary benchmark_suitable variable_bound set_covering invariant_knapsack
ex1010-pi	open	25200	25200	0	1468	102114	M. Winkler	–	233.0*	binary set_covering

Reference

No bibliographic information available