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Extension

Teachers Working Regular Hours and Overtime Hours


Description

In this part of the extended problem, each of the schools are separated into two types: schools #1 to #8 offer their classes on Monday and Wednesday, and schools #9 and #10 offer their classes on Tuesday and Thursday, thereby createing an opportunity for some of the teachers, who are willing to work extra hours, to teach more than two sessions. Teachers #1, #3, #6, #7, and #9 are willing to teach a maximum of 3 classes, while the other teachers are only willing to teach up to 2 sessions.

Our goal for this problem is again to develop a model which determines how to assign teachers to the different sessions at different schools, with an additional constraint that the same teacher cannot be teaching more than one session at the same time. Another constraint is that teachers will not be forced to teach more courses than they desire.

Mathematical Model

Extension 4 Model

On the next page, we continue to the fifth extension with restriction on distance travelled between sessions. Please click the right button to continue.

Extension 3 Extension 5