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Term End Exam Scheduling at USMA, West Point - Gams

Term End Exam Scheduling at USMA, West Point - Gams

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Improvement Model 1<br />

Fixed assignment of cadet request to exam course session<br />

Variable transform<strong>at</strong>ion x(c,r,p) ~ x(c,r,s)<br />

Variables<br />

w(r,p) open period for course session 3.000<br />

y(r,s,p) course session to period |S’|*3.000<br />

Constraints<br />

Conflict y(<br />

r,<br />

s,<br />

p)<br />

≤ 1<br />

50.000<br />

<strong>Exam</strong>s per day<br />

r,<br />

6.000<br />

Inclusive/Exclusive (1+|S’|)|I|*12<br />

Fixed,Prohibit,No makeup,Finished by variable fixing<br />

Coupling of w and y 3.000<br />

Objective<br />

∑ s<br />

y( r,<br />

s,<br />

p)<br />

≤<br />

w(<br />

r,<br />

p)<br />

Min sum((r,p),w(r,p)) (folds sessions of the same course)<br />

Min viol<strong>at</strong>ions of relaxed constraints

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