timtab1

benchmark benchmark_suitable aggregations mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
C. Liebchen, R. Möhring	397	171	1.22115e-02	easy	timtab	764771.99999978	timtab1.mps.gz

Public transport scheduling problem Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	397	384
Constraints	171	171
Binaries	77	64
Integers	94	94
Continuous	226	226
Implicit Integers	0	0
Fixed Variables	13	0
Nonzero Density	0.0122115	0.0124269
Nonzeroes	829	816

Constraint Classification Properties
	Original	Presolved
Total	171	171
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	2
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	77	75
General Linear	94	94
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	1.204120
Constraint %		0.584795	3.00195	1.75439	12.2807
Variable %		0.520833	3.35069	2.08333	11.7188
Score	0.421677

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
2	764772	764772	0	0	0	-	2018-10-13	Solution imported from MIPLIB2010.
1	764772	764772	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to timtab1 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
nh97_tension	easy	1576	257	361	958	737	5264	MIPLIB submission pool	–	1418	benchmark_suitable aggregations mixed_binary general_linear
icir97_potential	hard	2112	1235	422	455	3314	9942	MIPLIB submission pool	–	6325	precedence mixed_binary general_linear
ic97_potential	easy	728	450	73	205	1046	3138	L. Peeters	–	3941.99993090225	benchmark benchmark_suitable precedence 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
icir97_tension	easy	2494	262	573	1659	1203	22333	MIPLIB submission pool	–	6375	benchmark benchmark_suitable aggregations mixed_binary general_linear

Reference

@techreport{LiebchenMoehring2003,
 author = {C. Liebchen and R. H. {M\"ohring}},
 instance = {timetab1,timetab2},
 institution = {Technische {Universit\"at} Berlin, Dept. of Mathematics},
 language = {English},
 number = {2003/49},
 title = {Information on the {MIPLIB}'s timetab-instances},
 year = {2003}
}