All15

All15

The all-15-problem, belongs to the set of all-N-problems. These artificial problems have a timeframe of N days with N periods in one day totaling NxN periods. There are N teachers, N classes and N rooms. All possible combinations of a teacher, a class and a room are to be scheduled. This will give us N*N*N lectures to be scheduled. Like the Abramson cases, all resources have full schedules. This dataset was created by and converted to XHSTT by Cimmo Nurmi and Jari Kyngäs.


A summary of the data can be found in the following table:

Assets

Times

Teachers

Rooms

Students

Classes

# events

Total duration

value

225

15

15

-

15

3375

3375

The following (hard) constraints are present:

The following optimal solution was submitted for this instance:

SolutionGroup

Infeasibility value

Submitted by

Received

Dudek Timetables 2022

197

Wiesław Dudek

November 20, 2022

Dudek Timetables 2023

39

Wiesław Dudek

January 15, 2023

XML file

ArtificialAll15.xml (instance and solution)


previous versions:
ArtificialAll15.xml (XHSTT2011A)
[Update to 2014: cost function simplified.]

ArtificialAll15.xml (XHSTT2010)
[Update to 2011:
Removed superfluous constraints.
Throughout renamed "SchoolClass" to "Class".]