haprp

decomposition aggregations general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1828	1048	1.89378e-03	easy	–	3673280.6808	haprp.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	1828	1640
Constraints	1048	942
Binaries	0	0
Integers	1828	1640
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00189378	0.00212055
Nonzeroes	3628	3276

Constraint Classification Properties
	Original	Presolved
Total	1048	942
Empty	0	0
Free	0	0
Singleton	4	0
Aggregations	288	248
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
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	756	694
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	1.544068
Constraint %		0.212314	2.84751	3.50318	3.50318
Variable %		0.182927	2.94118	3.65854	3.65854
Score	0.935710

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	3673281	3673281	9e-07	5e-07	8.2e-06	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to haprp 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-3083819-nubu	easy	8644	0	8644	4725	24048	Jeff Linderoth	neos-pseudoapplication-31	6307996	benchmark decomposition benchmark_suitable aggregations integer_knapsack general_linear
neos-3024952-loue	easy	3255	0	3255	3705	17310	Jeff Linderoth	neos-pseudoapplication-86	26756	benchmark decomposition benchmark_suitable precedence integer_knapsack general_linear
neos-2657525-crna	easy	524	146	378	342	1690	Jeff Linderoth	neos-pseudoapplication-7	1.810748	benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning integer_knapsack general_linear
neos-2624317-amur	easy	524	180	344	342	1690	Jeff Linderoth	neos-pseudoapplication-7	3.5223968	decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning integer_knapsack general_linear
neos-2626858-aoos	easy	524	209	315	342	1690	Jeff Linderoth	neos-pseudoapplication-7	Infeasible	infeasible decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning integer_knapsack general_linear

Reference

No bibliographic information available