p0201

binary set_packing set_covering invariant_knapsack knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	201	133	7.19336e-02	easy	pfour	7614.999999999997	p0201.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	201	195
Constraints	133	133
Binaries	201	195
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0719336	0.0716021
Nonzeroes	1923	1857

Constraint Classification Properties
	Original	Presolved
Total	133	133
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	26	26
Set Covering	0	20
Cardinality	0	0
Invariant Knapsack	74	54
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	33	3
Integer Knapsack	0	0
Mixed Binary	0	30
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	0.7781512
Constraint %		0.75188	15.4887	0.75188	37.5940
Variable %		2.56410	20.0000	2.56410	46.1538
Score	0.4268360

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	7615	7615	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to p0201 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-932721	easy	22266	21825	0	441	18085	107908	NEOS Server Submission	neos-pseudoapplication-56	52030	decomposition precedence variable_bound set_packing 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
mitre	easy	10724	10724	0	0	2054	39704	MIPLIB submission pool	–	115154.9999999991	binary decomposition set_partitioning set_covering invariant_knapsack mixed_binary
neos-3581454-haast	easy	8112	7512	0	600	17220	92976	Jeff Linderoth	neos-pseudoapplication-14	2295	decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
neos18	easy	3312	3312	0	0	11402	24614	NEOS Server Submission	neos-pseudoapplication-49	16	binary decomposition benchmark_suitable precedence variable_bound set_covering invariant_knapsack

Reference

No bibliographic information available