dfn-bwin-DBE

set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	3285	235	1.2766e-02	open	network_design	73623.78788664003*	dfn-bwin-DBE.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	3285	3285
Constraints	235	235
Binaries	2475	2475
Integers	0	0
Continuous	810	810
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.012766	0.012766
Nonzeroes	9855	9855

Constraint Classification Properties
	Original	Presolved
Total	235	235
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	45
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	235	190
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	1.748188
Constraint %		0.425532	1.12186	0.425532	4.25532
Variable %		1.674280	1.81818	1.674280	2.46575
Score	0.603323

Best Known Solution(s)

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

ID	Objective	Exact	Int. Viol	Cons. Viol	Submitter	Date	Description
3	73623.79	73623.79	3e-07	0e+00	Alex Fender, Alice Boucher, Akif Coerduek, Piotr Sielski, Burcin Bozkaya, Preethi Maulik	2025-01-10	Found using GPU-accelerated MIP in NVIDIA cuOpt
2	73623.79	73623.79	6e-07	6e-07	Peng Lin and Shaowei Cai	2024-09-29	PartiMIP Solver - A Dynamic Partitioning MIP Solver
1	73623.79	73623.79	0e+00	1e-07	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dfn-bwin-DBE 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
neos-3762025-ognon	easy	4673	948	3725	2784	25384	Jeff Linderoth	neos-pseudoapplication-3	607171.5030499999	decomposition numerics variable_bound mixed_binary
neos-3761878-oglio	easy	6489	1312	5177	3871	35511	Jeff Linderoth	neos-pseudoapplication-3	422769.02254	decomposition numerics variable_bound mixed_binary
neos-3703351-marne	easy	8827	1382	7445	4123	55293	Jeff Linderoth	neos-pseudoapplication-3	317056.210386	decomposition numerics variable_bound mixed_binary
neos-3699377-maori	easy	17233	1856	15377	5587	125895	Jeff Linderoth	neos-pseudoapplication-3	135877.224265	decomposition numerics variable_bound mixed_binary
neos-5075914-elvire	easy	5003	2638	2365	3720	11440	Jeff Linderoth	neos-pseudoapplication-35	323.8387873868924	numerics aggregations precedence variable_bound set_packing mixed_binary

Reference

No bibliographic information available