railway_8_1_0

benchmark_suitable precedence invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1796	2527	1.56396e-03	easy	–	400	railway_8_1_0.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	1796	1795
Constraints	2527	2526
Binaries	1177	1177
Integers	0	0
Continuous	619	618
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00156396	0.00156523
Nonzeroes	7098	7097

Constraint Classification Properties
	Original	Presolved
Total	2527	2526
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	1026	1026
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	426	0
Cardinality	0	0
Invariant Knapsack	0	426
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	1074	1074
General Linear	0	0
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 %		41.3698	41.5677	41.5677	41.7656
Variable %		46.8263	47.1047	47.1047	47.3831
Score	0.4397360

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	400	400	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to railway_8_1_0 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
berlin_5_8_0	easy	1083	794	289	1532	4507	G. Klau	–	62	precedence invariant_knapsack mixed_binary
CMS750_4	easy	11697	7196	4501	16381	44903	MIPLIB submission pool	–	252	benchmark benchmark_suitable precedence invariant_knapsack mixed_binary
usAbbrv-8-25_70	hard	2312	1681	631	3291	9628	publicly available	–	120	precedence invariant_knapsack knapsack mixed_binary
pigeon-16	easy	1072	928	144	2353	21104	Sam Allen	pigeon	-15000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary
pigeon-20	easy	1580	1400	180	3661	33100	Sam Allen	pigeon	-19000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available