siena1

numerics set_covering mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Double-Click SAS	13741	2220	8.48762e-03	open	–	10341586.2*	siena1.mps.gz

Crew scheduling instance Imported from MIPLIB2010. Best solution obtained with ODH, by feeding it a solution computed by CPLEX with implied integer detection disabled and running RINS every 200 nodes.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	13741	13683
Constraints	2220	2219
Binaries	11775	11775
Integers	0	1808
Continuous	1966	100
Implicit Integers	0	1808
Fixed Variables	0	0
Nonzero Density	0.00848762	0.00851911
Nonzeroes	258915	258662

Constraint Classification Properties
	Original	Presolved
Total	2220	2219
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	310	310
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	1910	100
General Linear	0	1809
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	0.301030
Constraint %		13.9703	13.9703	13.9703	13.9703
Variable %		73.7338	73.7338	73.7338	73.7338
Score	0.036695

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Submitter	Date	Description
5	10341586		0e+00	0e+00	Michael Winkler	2024-01-16	Found with Gurobi 11.0.0 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory.
4	10359207	10359207	5e-07	5e-07	Edward Rothberg	2020-04-22	Obtained with Gurobi 9.0 using the solution improvement heuristic
3	10460027		0e+00	4e-07	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	10478320		0e+00	0e+00	Ed Klotz	2019-09-26	Obtained with ODH, by feeding a solution computed by CPLEX with implied integer detection disabled and running RINS every 200 nodes.
1	10584966	10584966	0e+00	0e+00	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to siena1 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
dolom1	hard	11612	9720	1892	1803	190413	Double-Click SAS	–	6609253	mixed_binary general_linear
trento1	easy	7687	6415	1272	1265	93571	MIPLIB submission pool	–	5189487	benchmark benchmark_suitable mixed_binary general_linear
nsr8k	open	38356	32040	6316	6284	371608	MIPLIB submission pool	–	17974887.99753601*	mixed_binary general_linear
dc1c	hard	10039	8380	1659	1649	121158	Double-Click SAS	–	1767903.6501	mixed_binary general_linear
biella1	easy	7328	6110	1218	1203	71489	Double-Click SAS	–	3065005.78	benchmark_suitable mixed_binary general_linear

Reference

@article{FischettiGloverLodi2005,
 author = {M. Fischetti and F. Glover and A. Lodi},
 journal = {Mathematical Programming},
 pages = {91--104},
 title = {The feasibility pump},
 volume = {104},
 year = {2005}
}

@article{FischettiLodi2003,
 author = {Fischetti, Matteo and Lodi, Andrea},
 issn = {0025-5610},
 issue = {1},
 journal = {Mathematical Programming},
 keyword = {Mathematics and Statistics},
 pages = {23-47},
 publisher = {Springer},
 title = {Local branching},
 volume = {98},
 year = {2003}
}