dc1l

mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Double-Click SAS	37297	1653	7.27883e-03	open	–	1759050.4901*	dc1l.mps.gz

Crew scheduling instance 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	37297	37286
Constraints	1653	1650
Binaries	35638	35636
Integers	0	1636
Continuous	1659	14
Implicit Integers	0	1636
Fixed Variables	0	0
Nonzero Density	0.00727883	0.00729101
Nonzeroes	448754	448557

Constraint Classification Properties
	Original	Presolved
Total	1653	1650
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	2	0
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	1651	14
General Linear	0	1636
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 %		99.1515	99.1515	99.1515	99.1515
Variable %		99.9571	99.9571	99.9571	99.9571
Score	0.000425

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	Cons. Viol	Submitter	Date	Description
5	1759050	1759050	0e+00	Michael Winkler	2022-02-11	Found with Gurobi 9.5 default settings.
4	1759462	1759462	0e+00	Edward Rothberg	2020-05-15	Obtained with Gurobi 9.0 using the solution improvement heuristic
3	1766398		1e-07	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	1778902		0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	1780780	1780780	0e+00	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dc1l 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
nsr8k	open	38356	32040	6316	6284	371608	MIPLIB submission pool	–	17974887.99753601*	mixed_binary general_linear
biella1	easy	7328	6110	1218	1203	71489	Double-Click SAS	–	3065005.78	benchmark_suitable mixed_binary general_linear
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
dc1c	hard	10039	8380	1659	1649	121158	Double-Click SAS	–	1767903.6501	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}
}