Submitter Variables Constraints Density Status Group Objective MPS File
Harald Schilly 25776 45262 2.3997e-04 easy lectsched 0 lectsched-3.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 25776 7884
Constraints 45262 15503
Binaries 25319 7695
Integers 457 189
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000239970 0.000573202
Nonzeroes 279967 70060
Constraint Classification Properties
Original Presolved
Total 45262 15503
Empty 0 0
Free 0 0
Singleton 1889 0
Aggregations 6 2
Precedence 70 40
Variable Bound 132 1649
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 2536 688
Mixed Binary 0 0
General Linear 40629 13124
Indicator 0 0

Structure

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

value min median mean max
Components 0.30103
Constraint % 100.000 100.000 100.000 100.000
Variable % 50.278 50.278 50.278 50.278
Score 0.49722

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

Similar instances in collection

The following instances are most similar to lectsched-3 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-1 28718 28236 482 0 50108 310792 Harald Schilly lectsched easy 0
lectsched-2 17656 17287 369 0 30738 186520 Harald Schilly lectsched easy 0
neos-3355323-arnon 10248 10104 144 0 21216 69912 Jeff Linderoth neos-pseudoapplication-38 open
neos-3211096-shag 4379 4289 90 0 10187 31705 Jeff Linderoth neos-pseudoapplication-38 open
neos-3603137-hoteo 4003 3913 90 0 10510 39146 Jeff Linderoth neos-pseudoapplication-38 open

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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