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Keimena

This document describes constraints for assigning students to projects. It defines variables xij which equals 1 if student i is assigned to project j and 0 otherwise. It aims to assign each student to exactly one acceptable project topic while not exceeding project capacities CTj plus additional slots sj. Auxiliary variable y is also defined but its purpose is not specified in the short document.

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45 views1 page

Keimena

This document describes constraints for assigning students to projects. It defines variables xij which equals 1 if student i is assigned to project j and 0 otherwise. It aims to assign each student to exactly one acceptable project topic while not exceeding project capacities CTj plus additional slots sj. Auxiliary variable y is also defined but its purpose is not specified in the short document.

Uploaded by

Zerakos
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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m

∑ x ij=1 , for i=1 , … , n


j=1

1 ¿ x ¿ij : assign to project j, to student i, where i=1,...,n and j=j,…,m

x ij=1 if decision is yes; xi=0 if decision is no

Title
Every student is assigned to exactly one project topic within the subset of project topics that he/she
finds acceptable.

∑ x ij ≤ CT j+ s j , for j=1 , … ,m
i=1

2) CTj : Capacity of Topic j

Auxiliary dummy variable y ∈{0,1}

xij

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