triptim1

benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	30055	15706	1.09192e-03	easy	triptim	22.8680999999999	triptim1.mps.gz

Trip timetable optimization problem. 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	30055	25689
Constraints	15706	15699
Binaries	20456	16107
Integers	9592	9576
Continuous	7	6
Implicit Integers	0	0
Fixed Variables	6	0
Nonzero Density	0.00109192	0.00123480
Nonzeroes	515436	497985

Constraint Classification Properties
	Original	Presolved
Total	15706	15699
Empty	0	0
Free	0	0
Singleton	3	0
Aggregations	14	13
Precedence	1	1
Variable Bound	6	5
Set Partitioning	0	16
Set Packing	2049	2049
Set Covering	4038	2009
Cardinality	0	0
Invariant Knapsack	5	2032
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	9590	9574
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	1.176091
Constraint %		0.00637	2.77952	0.0063700	19.5108
Variable %		0.00779	2.88005	0.0116782	20.2266
Score	0.311536

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	22.8681	22.8681	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to triptim1 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
triptim4	hard	27226	18537	8682	7	14361	520532	MIPLIB submission pool	triptim	9.818099999800323	aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear
triptim2	hard	27326	20776	6543	7	14427	521898	MIPLIB submission pool	triptim	12.0051	aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack general_linear
triptim7	easy	27342	18619	8716	7	14427	521944	MIPLIB submission pool	triptim	2566.02	aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear
triptim8	hard	27342	18619	8716	7	14427	521945	MIPLIB submission pool	triptim	2566.065999999642	aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear
supportcase34	easy	17879	11196	6682	1	15170	748887	Domenico Salvagnin	–	83.99999985999999	benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available