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D&D Matching Algorithm for the Academy of Nutrition and Dietetics

Applicants submit rank order lists of internships.

Internships submit rank order lists of applicants with their maximum number of matched applicants (class size).

Impossible matches are removed from initial rank order lists creating initial ‘adjusted’ rank order lists.  Further references to lists should be considered to be ‘adjusted’ lists.

An internship's match 'window' includes its highest ranked applicants, equal in number to their class size.

A match happens when an applicant’s highest ranked internship includes the applicant in the internship's window.

When a MATCH is made:

During Round 1, all unmatched applicants are considered for a match to their first rank order internship, cycling over and over through all unmatched applicants, until additional matches cannot be made.

During Round 2, all unmatched applicants are considered for a match to their first and second rank order internships, in that order, cycling over and over through all unmatched applicants until additional matches cannot be made.

During Round 3, all unmatched applicants are considered for a match to their first, second and third rank order internships, in that order, cycling over and over through all unmatched applicants until additional matches cannot be made.

Rounds 4, 5, etc. follow in like manner.

Internship matches to applicants are no longer possible when either the

Matching concludes when additional applicant-internship matches cannot be made.

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