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 -- 10359207.14391836* 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.

Location of instance in collection

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries of original problem

Matrix after trivial presolving

Nonzero entries after trivial presolving

Decomposed structure of original problem

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving

Decomposed structure after trivial presolving (dec-file)

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
4 10359207 10359207 5e-07 5e-07 0 Edward Rothberg 2020-04-22 Obtained with Gurobi 9.0 using the solution improvement heuristic
3 10460027 0e+00 4e-07 0 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
2 10478320 0e+00 0e+00 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 0e+00 0e+00 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 -- 18011358.0* 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 Aug 03, 2023 by Jan Krüger
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