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Timetable spread and lattice energies

Published online by Cambridge University Press:  01 August 2016

Jeremy D. King*
Affiliation:
Tonbridge School, Tonbridge, Kent TN9 1JP

Extract

In [1] the author investigated a method of measuring how good the spread of lessons is for a class in a school timetable. The method considered only the maximum number of days between two consecutive lessons. However, it was observed that not all configurations with the same maximum gap are equally good. For example, the configuration for a tenday cycle in Figure 1(a) would be preferable to that in Figure 1(b); the filled circles represent days with a lesson and the unfilled circles days without. Here we propose a model that takes into account the overall configuration when measuring how good the spread of lessons is.

Type
Articles
Copyright
Copyright © The Mathematical Association 2005

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References

1. King, Jeremy Timetable spread, Math. Gaz. 84 (November 2000) pp. 516518.Google Scholar
2. Arfken, George Mathematical methods for physicists, Academic Press (1985).Google Scholar
3. Andrews, G. E. Askey, R. and Roy, R. Special functions, Cambridge University Press (1999).Google Scholar