Submitter Variables Constraints Density Status Group Objective MPS File
Harald Schilly 7901 14163 7.3661e-04 easy lectsched 4 lectsched-4-obj.mps.gz

University lecture scheduling instance

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 7901 3051
Constraints 14163 5345
Binaries 7665 2937
Integers 236 114
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00073661 0.00155615
Nonzeroes 82428 25377
Constraint Classification Properties
Original Presolved
Total 14163 5345
Empty 0 0
Free 0 0
Singleton 894 0
Aggregations 2 2
Precedence 35 43
Variable Bound 60 386
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 1
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 1336 258
Mixed Binary 0 0
General Linear 11836 4655
Indicator 0 0

Structure

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

value min median mean max
Components 1.623249
Constraint % 0.0188359 1.326330 0.0188359 47.2029
Variable % 0.0431593 0.928977 0.0431593 32.3479
Score 0.388501

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 4 4 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.
1 4 4 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to lectsched-4-obj 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
lectsched-5-obj 21805 21389 416 0 38884 239608 Harald Schilly lectsched easy 24
neos-4338804-snowy 1344 1260 42 42 1701 6342 Jeff Linderoth neos-pseudoapplication-40 hard 1471
lectsched-2 17656 17287 369 0 30738 186520 Harald Schilly lectsched easy 0
lectsched-3 25776 25319 457 0 45262 279967 Harald Schilly lectsched easy 0
lectsched-1 28718 28236 482 0 50108 310792 Harald Schilly lectsched easy 0

Reference

@mastersthesis{Schilly2007,
 author = {Harald Schilly},
 language = {german},
 school = {Universit{\"a}t Wien},
 title = {Modellierung und {I}mplementation eines {V}orlesungsplaners},
 type = {Diploma thesis},
 year = {2007}
}

Last Update Nov 09, 2018 by Gregor Hendel
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