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 10478319.9* 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.

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.

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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
2 10478320 0 0 0 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 0 0 0 - 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 Integers Continuous Constraints Nonz. Submitter Group Objective Tags
dolom1 hard 11612 9720 0 1892 1803 190413 Double-Click SAS 6609253 mixed_binary general_linear
trento1 easy 7687 6415 0 1272 1265 93571 MIPLIB submission pool 5189487 benchmark benchmark_suitable mixed_binary general_linear
nsr8k open 38356 32040 0 6316 6284 371608 MIPLIB submission pool 18507854.9999999* mixed_binary general_linear
dc1c hard 10039 8380 0 1659 1649 121158 Double-Click SAS 1767903.6501 mixed_binary general_linear
biella1 easy 7328 6110 0 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}
}

Last Update Okt 02, 2019 by Gregor Hendel
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