gen-ip002

benchmark benchmark_suitable general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Bowly	41	24	9.36992e-01	easy	generated	-4783.733392	gen-ip002.mps.gz

Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	41	41
Constraints	24	24
Binaries	0	0
Integers	41	41
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.936992	0.936992
Nonzeroes	922	922

Constraint Classification Properties
	Original	Presolved
Total	24	24
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	24	24
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 %		4.16667	4.16667	4.16667	4.16667
Variable %		63.41460	63.41460	63.41460	63.41460
Score	0.015244

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	-4783.733	-4783.733	0	0	4e-07	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip002 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
gen-ip021	easy	35	0	35	0	28	945	Simon Bowly	generated	2361.45419519	benchmark_suitable general_linear
gen-ip036	easy	29	0	29	0	46	1303	Simon Bowly	generated	-4606.67961	benchmark_suitable general_linear
gen-ip054	easy	30	0	30	0	27	532	Simon Bowly	generated	6840.96564179	benchmark benchmark_suitable variable_bound general_linear
mik-250-20-75-2	easy	270	75	175	20	195	9270	MIPLIB submission pool	mik_250	-50768.00000000001	general_linear
gen-ip016	easy	28	0	28	0	24	672	Simon Bowly	generated	-9476.155197	general_linear

Reference

No bibliographic information available