Submitter Variables Constraints Density Status Group Objective MPS File
Double-Click SAS 7328 1203 8.10939e-03 easy 3065005.78 biella1.mps.gz

Crew scheduling instance

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 7328 7311
Constraints 1203 1202
Binaries 6110 6110
Integers 0 1197
Continuous 1218 4
Implicit Integers 0 1197
Fixed Variables 0 0
Nonzero Density 0.00810939 0.00811737
Nonzeroes 71489 71334
Constraint Classification Properties
Original Presolved
Total 1203 1202
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 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 1203 4
General Linear 0 1198
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.301030
Constraint % 0.332779 0.332779 0.332779 0.332779
Variable % 83.340200 83.340200 83.340200 83.340200
Score 0.000554

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 3065006 3065006 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.
1 3065006 3065006 0 0 0 - 2018-10-13 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to biella1 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
trento1 7687 6415 0 1272 1265 93571 MIPLIB submission pool easy 5189487
dolom1 11612 9720 0 1892 1803 190413 Double-Click SAS hard 6609253
dc1c 10039 8380 0 1659 1649 121158 Double-Click SAS hard 1767903.6501
nsr8k 38356 32040 0 6316 6284 371608 MIPLIB submission pool open 18507854.9999999*
dc1l 37297 35638 0 1659 1653 448754 Double-Click SAS open 1780779.6801*

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}
}

Last Update Nov 19, 2018 by Gregor Hendel
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