ej

numerics general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Timo Berthold	3	1	1	easy	–	25508	ej.mps.gz

Number theoretic problem. In my opinion not suited for benchmarking, also depends a lot on numerical tolerances. But an interesting problem nevertheless. Reference: https://dx.doi.org/10.1016/j.jsc.2007.08.005

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	3	3
Constraints	1	1
Binaries	0	0
Integers	3	3
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	1	1
Nonzeroes	3	3

Constraint Classification Properties
	Original	Presolved
Total	1	1
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	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	1	1
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	0.30103
Constraint %		100	100	100	100
Variable %		100	100	100	100
Score	0.00000

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	25508	25508	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ej 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
enlight_hard	easy	200	100	100	100	560	A. Zymolka	enlight	37	benchmark benchmark_suitable equation_knapsack general_linear
enlight9	easy	162	81	81	81	450	A. Zymolka	enlight	Infeasible	infeasible equation_knapsack general_linear
enlight8	easy	128	64	64	64	352	A. Zymolka	enlight	27	equation_knapsack general_linear
enlight11	easy	242	121	121	121	682	A. Zymolka	enlight	Infeasible	infeasible equation_knapsack general_linear
enlight4	easy	32	16	16	16	80	A. Zymolka	enlight	Infeasible	infeasible equation_knapsack general_linear

Reference

No bibliographic information available