Submitter Variables Constraints Density Status Group Objective MPS File
Double-Click SAS 10039 1649 7.31882e-03 hard 1767903.6501 dc1c.mps.gz

Crew scheduling instance. This problem was solved on ISM supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/index.html) by ParaSCIP in approximately 1100 hours with 14 times restarted 15 jobs.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 10039 10023
Constraints 1649 1646
Binaries 8380 8378
Integers 0 1636
Continuous 1659 9
Implicit Integers 0 1636
Fixed Variables 0 0
Nonzero Density 0.00731882 0.00733101
Nonzeroes 121158 120946
Constraint Classification Properties
Original Presolved
Total 1649 1646
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 1647 9
General Linear 0 1637
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 % 0.54678 0.54678 0.54678 0.54678
Variable % 83.66080 83.66080 83.66080 83.66080
Score 0.000893

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 1769762 1769762 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dc1c 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
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
nsr8k 38356 32040 0 6316 6284 371608 MIPLIB submission pool open 18507854.9999999*
dolom1 11612 9720 0 1892 1803 190413 Double-Click SAS hard 6609253
siena1 13741 11775 0 1966 2220 258915 Double-Click SAS open 10584965.7*

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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