usAbbrv-8-25_70

precedence invariant_knapsack knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
publicly available	2312	3291	1.26538e-03	hard	–	120	usAbbrv-8-25_70.mps.gz

Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	2312	2311
Constraints	3291	3290
Binaries	1681	1681
Integers	0	0
Continuous	631	630
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00126538	0.00126618
Nonzeroes	9628	9627

Constraint Classification Properties
	Original	Presolved
Total	3291	3290
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	1046	1046
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	563	0
Cardinality	0	0
Invariant Knapsack	0	563
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	105
Integer Knapsack	0	0
Mixed Binary	1681	1576
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	0.4771212
Constraint %		39.6657	39.8480	39.8480	40.0304
Variable %		47.4481	47.7076	47.7076	47.9671
Score	0.4167400

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	121	121	0	1e-07	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to usAbbrv-8-25_70 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
berlin_5_8_0	easy	1083	794	289	1532	4507	G. Klau	–	62	precedence invariant_knapsack mixed_binary
railway_8_1_0	easy	1796	1177	619	2527	7098	MIPLIB submission pool	–	400	benchmark_suitable precedence invariant_knapsack mixed_binary
CMS750_4	easy	11697	7196	4501	16381	44903	MIPLIB submission pool	–	252	benchmark benchmark_suitable precedence invariant_knapsack mixed_binary
pigeon-20	easy	1580	1400	180	3661	33100	Sam Allen	pigeon	-19000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary
pigeon-16	easy	1072	928	144	2353	21104	Sam Allen	pigeon	-15000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available