Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 38356 6284 1.54176e-03 open 18507854.9999999 nsr8k.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 38356 38322
Constraints 6284 6283
Binaries 32040 32040
Integers 0 6195
Continuous 6316 87
Implicit Integers 0 6195
Fixed Variables 0 0
Nonzero Density 0.00154176 0.00153985
Nonzeroes 371608 370761
Constraint Classification Properties
Original Presolved
Total 6284 6283
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 6284 87
General Linear 0 6196
Indicator 0 0

Structure

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

value min median mean max
Components 0.4771212
Constraint % 0.0318319 0.692344 0.692344 1.35286
Variable % 0.2870410 41.917200 41.917200 83.54730
Score 0.0025430

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
1 18507855 18507855 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nsr8k 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
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
biella1 7328 6110 0 1218 1203 71489 Double-Click SAS easy 3065005.78
trento1 7687 6415 0 1272 1265 93571 MIPLIB submission pool easy 5189487
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 17, 2018 by Gregor Hendel
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