On Wed, 29 May 2013, Roland Roberts wrote:
On 05/29/2013 01:27 PM, Michael Hennebry wrote:
On Tue, 28 May 2013, Roland Roberts wrote:
The basic problem is that I classes c, student groups g, time periods p,
and days d. We're breaking each day into 15-minute "modules" which have to
be schedule. A class has to span 3-8 modules on any give day. Some classes
have a minimum number of modules per week that have to be completed. With
just the above, I can specify the constraints by thinking of this as a
4-dimensional array X[c,g,p,d] and the constraints are various sums. The
problem I run into is specifying the the continuity constraint on
scheduling. It's not sufficient to have 3 modules for class C1, they have
to be 3 contiguous modules.
How do I specify this sort of thing?
Is each class a fixed length?
No, that's the first thing the school wants to relax with the modular
scheduling. Even now, a few classes hold a weekly "double-period" but
everything is hand scheduled which basically works by severely limiting what
is offered to students. The attempt this past year to hand schedule under the
new paradigm was a failure as hand scheduling never resolved the conflicts
that we kept running into.
To require every selected period be in a block of 4:
p+3
SUM X[c,g,j,d] >= 4*x[c,g,p,d] for c,g,p,d ...
j=p-3
I've neglected the beginnings and ends of the days.
--
Michael [email protected]
"On Monday, I'm gonna have to tell my kindergarten class,
whom I teach not to run with scissors,
that my fiance ran me through with a broadsword." -- Lily
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