fiball

benchmark decomposition benchmark_suitable aggregations precedence set_partitioning general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	34219	3707	8.26111e-04	easy	–	138	fiball.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	34219	33491
Constraints	3707	2979
Binaries	33960	33232
Integers	258	259
Continuous	1	0
Implicit Integers	0	1
Fixed Variables	0	0
Nonzero Density	0.000826111	0.001028730
Nonzeroes	104792	102636

Constraint Classification Properties
	Original	Presolved
Total	3707	2979
Empty	0	0
Free	0	0
Singleton	728	0
Aggregations	592	592
Precedence	215	215
Variable Bound	0	0
Set Partitioning	1908	1908
Set Packing	0	0
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	0	0
General Linear	264	264
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	3.405517
Constraint %		0.0335683	0.0358388	0.0335683	0.167842
Variable %		0.0058400	0.0384859	0.0321459	0.125661
Score	0.911041

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	138	138	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fiball 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-1354092	easy	13702	13282	420	0	3135	187187	NEOS Server Submission	neos-pseudoapplication-47	46	benchmark decomposition benchmark_suitable variable_bound set_partitioning general_linear
mad	easy	220	200	0	20	51	2808	Koichi Fujii	–	0.0268	benchmark benchmark_suitable set_partitioning set_packing invariant_knapsack mixed_binary
mitre	easy	10724	10724	0	0	2054	39704	MIPLIB submission pool	–	115154.9999999991	binary decomposition set_partitioning set_covering invariant_knapsack mixed_binary
neos-3696678-lyvia	easy	7683	7516	167	0	9004	30452	Jeff Linderoth	neos-pseudoapplication-56	83.74999995899876	decomposition variable_bound set_covering cardinality invariant_knapsack mixed_binary general_linear
fhnw-sq3	hard	2450	2401	49	0	167	7372	Simon Felix	fhnw-sq	Infeasible	infeasible feasibility precedence set_partitioning integer_knapsack general_linear

Reference

No bibliographic information available