f2gap801600

binary knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Salim Haddadi	1600	80	2.5e-02	easy	f2gap	86678.999982707	f2gap801600.mps.gz

Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	1600	1600
Constraints	80	80
Binaries	1600	1600
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.025	0.025
Nonzeroes	3200	3200

Constraint Classification Properties
	Original	Presolved
Total	80	80
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	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	80	1
Integer Knapsack	0	0
Mixed Binary	0	79
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	0.301030
Constraint %		1.25	1.25	1.25	1.25
Variable %		1.75	1.75	1.75	1.75
Score	0.012281

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	86679	86679	6e-07	5.37e-05	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to f2gap801600 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
f2gap40400	easy	400	400	0	0	40	800	Salim Haddadi	f2gap	20771.99999999983	binary knapsack mixed_binary
f2gap401600	easy	1600	1600	0	0	40	3200	Salim Haddadi	f2gap	82306.9999999945	binary mixed_binary
f2gap201600	easy	1600	1600	0	0	20	3200	Salim Haddadi	f2gap	76453	binary mixed_binary
ic97_potential	easy	728	450	73	205	1046	3138	L. Peeters	–	3941.99993090225	benchmark benchmark_suitable precedence mixed_binary general_linear
icir97_potential	hard	2112	1235	422	455	3314	9942	MIPLIB submission pool	–	6325	precedence mixed_binary general_linear

Reference

No bibliographic information available