gen

decomposition variable_bound integer_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	870	780	3.81963e-03	easy	–	112313.3627179998	gen.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	870	797
Constraints	780	622
Binaries	144	108
Integers	6	5
Continuous	720	684
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00381963	0.00416352
Nonzeroes	2592	2064

Constraint Classification Properties
	Original	Presolved
Total	786	627
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	438	335
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	6	5
Mixed Binary	336	282
General Linear	6	5
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	1.397940
Constraint %		1.1254	3.44319	3.53698	4.34084
Variable %		2.8777	3.46723	3.47722	4.07674
Score	0.797451

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	112313.4	112313.4	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen 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
ran13x13	easy	338	169	169	195	676	J. Aronson	ran	3252	decomposition benchmark_suitable variable_bound mixed_binary
ran12x21	easy	504	252	252	285	1008	J. Aronson	ran	3663.999999980964	decomposition benchmark_suitable variable_bound mixed_binary
bienst2	easy	505	35	470	576	2184	H. Mittelmann	–	54.59999999999996	decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary
bienst1	easy	505	28	477	576	2184	MIPLIB submission pool	–	46.7499999999999	decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary
newdano	easy	505	56	449	576	2184	Daniel Bienstock	dano	65.66666666	decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary

Reference

No bibliographic information available