ic97_potential

benchmark benchmark_suitable precedence mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
L. Peeters	728	1046	4.12088e-03	easy	–	3941.99993090225	ic97_potential.mps.gz

A model for cyclic railway timetable optimization 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	728	727
Constraints	1046	1046
Binaries	450	449
Integers	73	73
Continuous	205	205
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00412088	0.00412392
Nonzeroes	3138	3136

Constraint Classification Properties
	Original	Presolved
Total	1046	1046
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	2
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	900	898
General Linear	146	146
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	1.113943
Constraint %		0.191205	1.17909	0.956023	4.58891
Variable %		0.412655	1.55892	1.306740	5.50206
Score	0.137517

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	3942	3942	9e-07	9e-07	0	-	2018-10-10	Solution imported from MIPLIB2010.
1	3942	3942	2e-07	0e+00	0	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ic97_potential 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
icir97_potential	hard	2112	1235	422	455	3314	9942	MIPLIB submission pool	–	6325	precedence mixed_binary general_linear
neos-5115478-kaveri	easy	3114	2976	0	138	6498	19392	Jeff Linderoth	neos-pseudoapplication-54	1233.99999999096	numerics aggregations precedence mixed_binary
neos-5107597-kakapo	easy	3114	2976	0	138	6498	19392	Jeff Linderoth	neos-pseudoapplication-54	3644.99999999952	benchmark benchmark_suitable aggregations precedence mixed_binary
supportcase26	easy	436	396	0	40	870	2492	Michael Winkler	–	1745.123813	benchmark benchmark_suitable precedence mixed_binary
timtab1	easy	397	77	94	226	171	829	C. Liebchen, R. Möhring	timtab	764771.99999978	benchmark benchmark_suitable aggregations mixed_binary general_linear

Reference

@phdthesis{Peeters2003,
 author = {Leon Peeters},
 language = {Dutch},
 school = {Erasmus Universiteit Rotterdam},
 title = {Cyclic Railway Timetable Optimization},
 year = {2003}
}