Submitter Variables Constraints Density Status Group Objective MPS File
George Fonseca 614253 304931 1.8231e-05 open timetabling NA kosova1.mps.gz

Educational timetabling problems from several real schools/universities around the world. These instances were originally expressed in the xhstt file format [1] and formulated as Integer Programming models as described at [2].

[1] http://www.sciencedirect.com/science/article/pii/S0377221717302242 [2] https://link.springer.com/article/10.1007/s10479-011-1012-2

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 614253 333136
Constraints 304931 176993
Binaries 609591 328474
Integers 4662 4662
Continuous 0 0
Implicit Integers 0 4531
Fixed Variables 0 0
Nonzero Density 1.82310e-05 2.78912e-05
Nonzeroes 3414760 1644540
Constraint Classification Properties
Original Presolved
Total 304931 176993
Empty 875 0
Free 0 0
Singleton 1053 0
Aggregations 2460 2761
Precedence 30504 18321
Variable Bound 26404 18598
Set Partitioning 21052 18774
Set Packing 8301 8301
Set Covering 2767 1491
Cardinality 11141 6735
Invariant Knapsack 13359 10019
Equation Knapsack 173040 82988
Bin Packing 0 41
Knapsack 126 0
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 13849 8964
Indicator 0 0

Structure

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

value min median mean max
Components
Constraint %
Variable %
Score

Best Known Solution(s)

No solution available for kosova1 .

Similar instances in collection

The following instances are most similar to kosova1 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
woodlands09 382147 382119 28 0 194599 2646000 George Fonseca timetabling hard 0
highschool1-aigio 320404 319686 718 0 92568 1562170 George Fonseca timetabling hard 0
brazil3 23968 23874 94 0 14646 133184 George Fonseca timetabling easy 24
kottenpark09 2893026 2892333 693 0 325547 13085500 George Fonseca timetabling open
triptim7 27342 18619 8716 7 14427 521944 MIPLIB submission pool triptim open 2566.02*

Reference

@article{FONSECA201728,
title = "Integer programming techniques for educational timetabling",
journal = "European Journal of Operational Research",
volume = "262",
number = "1",
pages = "28 - 39",
year = "2017",
note = "",
issn = "0377-2217",
doi = "http://dx.doi.org/10.1016/j.ejor.2017.03.020",
url = "http://www.sciencedirect.com/science/article/pii/S0377221717302242",
author = "George H.G. Fonseca and Haroldo G. Santos and Eduardo G. Carrano and Thomas J.R. Stidsen",
keywords = "Timetabling",
keywords = "Integer Programming",
keywords = "Formulation"
}

Last Update Nov 17, 2018 by Gregor Hendel
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