gen-ip054

benchmark benchmark_suitable variable_bound general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Bowly	30	27	6.5679e-01	easy	generated	6840.96564179	gen-ip054.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	30	30
Constraints	27	27
Binaries	0	0
Integers	30	30
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.65679	0.65679
Nonzeroes	532	532

Constraint Classification Properties
	Original	Presolved
Total	27	27
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	1	1
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	26	26
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	0.4771212
Constraint %		3.70370	5.55556	5.55556	7.40741
Variable %		6.66667	31.66670	31.66670	56.66670
Score	0.0666670

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	6840.966	6840.966	0	0	0	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip054 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
tokyometro	open	4537	2496	2041	0	7719	26958	Hsiang-Yun WU	–	8263.099999999999*	aggregations precedence variable_bound set_partitioning equation_knapsack mixed_binary general_linear
timtab1CUTS	easy	397	77	94	226	371	1742	C. Liebchen, R. Möhring	timtab	764771.9999997859	benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary general_linear
neos16	easy	377	336	41	0	1018	2801	NEOS Server Submission	neos-pseudoapplication-90	446	benchmark_suitable variable_bound integer_knapsack general_linear
neos-3046615-murg	easy	274	240	16	18	498	1266	Jeff Linderoth	neos-pseudoapplication-90	1600	benchmark benchmark_suitable aggregations variable_bound mixed_binary general_linear

Reference

No bibliographic information available