gen-ip036

benchmark_suitable general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Bowly	29	46	9.76762e-01	easy	generated	-4606.67961	gen-ip036.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	29	29
Constraints	46	46
Binaries	0	0
Integers	29	29
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.976762	0.976762
Nonzeroes	1303	1303

Constraint Classification Properties
	Original	Presolved
Total	46	46
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	46	46
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 %		2.17391	2.17391	2.17391	2.17391
Variable %		62.06900	62.06900	62.06900	62.06900
Score	0.008246

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	-4606.68	-4606.68	0	0	2e-07	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip036 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-ip016	easy	28	0	28	0	24	672	Simon Bowly	generated	-9476.155197	general_linear
supportcase39	open	1025	0	1024	1	16384	398774	Domenico Salvagnin	–	-1085069.602859*	general_linear
gen-ip002	easy	41	0	41	0	24	922	Simon Bowly	generated	-4783.733392	benchmark benchmark_suitable general_linear
mik-250-20-75-2	easy	270	75	175	20	195	9270	MIPLIB submission pool	mik_250	-50768.00000000001	general_linear
mik-250-20-75-3	easy	270	75	175	20	195	9270	MIPLIB submission pool	mik_250	-52242	general_linear

Reference

No bibliographic information available