neos-3634244-kauru

set_partitioning invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	4376	761450	6.88003e-04	open	neos-pseudoapplication-110	1398.014670518538*	neos-3634244-kauru.mps.gz

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	4376	4376
Constraints	761450	761450
Binaries	4375	4375
Integers	0	0
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000688003	0.000688003
Nonzeroes	2292500	2292500

Constraint Classification Properties
	Original	Presolved
Total	761450	761450
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	175	175
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	25	25
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	761250	761250
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	2.245513
Constraint %		0.000131	0.000131	0.000131	0.000131
Variable %		0.571298	0.571298	0.571298	0.571298
Score	0.000229

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
2	1398.015	1398.016	7e-07	0	0	Michael Winkler	2022-08-01	Found with Gurobi 9.5.1 using default settings.
1	1398.016	1398.016	0e+00	0	0	-	2018-10-24	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3634244-kauru 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
rd-rplusc-21	easy	622	457	165	125899	852384	MIPLIB submission pool	–	165395.275295	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary
assign1-10-4	open	572	520	52	582	28280	Robert Fourer	assign1	422*	set_partitioning cardinality mixed_binary
assign1-5-8	easy	156	130	26	161	3720	Robert Fourer	assign1	211.999999999998	benchmark benchmark_suitable set_partitioning cardinality mixed_binary
neos-525149	easy	3640	3600	40	144120	1519200	NEOS Server Submission	neos-pseudoapplication-110	60.99999999106585	decomposition set_partitioning mixed_binary
neos-5221106-oparau	open	25445	25120	325	13897	245756	Hans Mittelmann	neos-pseudoapplication-46	52.66999999999962*	precedence variable_bound set_partitioning cardinality knapsack mixed_binary

Reference

No bibliographic information available