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Case study - Student selection for last year of Industrial Engineer at Politecnico di Roma. MCDA Summer School 2010 Ecole Centrale de Paris. July 9, 2010. Elise ARNAUD Karim LIDOUH Diclehan TEZCANER Mohamed HAMDAOUI Emmanuel PRADOS Naouel YOUSFI. Agenda. Context Aim
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Case study - Student selection for last year of Industrial Engineer at Politecnico di Roma MCDA Summer School 2010 Ecole Centrale de Paris July 9, 2010 Elise ARNAUD Karim LIDOUH Diclehan TEZCANER Mohamed HAMDAOUI Emmanuel PRADOS Naouel YOUSFI
Agenda • Context • Aim • Decision process • Model description • Main steps • Conclusions Case study - Student selection
Context • The selection process is changing from paper based to paper based + interview Grades Cover letter CV Grades Cover letter CV Interview Case study - Student selection
Aim • Affect at most 50 good students to the different groups while keeping these homogeneous • Numbers • Gender • Culture • Personalities Case study - Student selection
Decision process • Sorting and ranking step • Separate students into categories • ‘Accepted’, ‘Recommended’ and ‘Rejected’ • Assignment step • Use the obtained ranking and remaining information (gender, PT & P preferences) Case study - Student selection
Model description • Alternatives • Students • Decision makers • Two that act like one Case study - Student selection
Model description • Criteria • Gap year • 3rd year grades • 4th year grades • Motivation • Personality • Project • Jobs • Professional track • Path • Gender • Culture • Personalities Evaluate good candidates Assign students to groups In case of problems Case study - Student selection
Model description Case study - Student selection
Model description • Methods • Sorting & ranking step: FlowSort1 • Weights • Elicited from the results of 2009 • Higher importance of 4th year compared to 3rd year • Lower importance of Motivation compared to other marks • Global higher importance of the marks compared to grades P. Nemery de Bellevaux and C. Lamboray (2008), FlowSort : a flow-based sorting method with limiting and central profiles. *TOP (*Official Journal of the Spanish Society of Statistics and Operations Research), Vol. 16-1, pp. 90-113. Case study - Studentselection
Model description • Importance of criteria (Decision tree 1) Quinlan, J. R. (1993) C4.5: Programs for Machine Learning. Morgan Kaufmann Publishers. Case study - Studentselection
Model description • Parameters (FlowSort) Case study - Student selection
Model description • Profiles based on 2009 results (FlowSort) Case study - Student selection
Model description • Validation of the model on 2009 results Case study - Student selection
Main steps • Sorting of the 2010 students (using FlowSort) Case study - Student selection
Main steps • Sorting of the 2010 students (using FlowSort) 38 st. 3 st. 9 st. Case study - Student selection
Main steps • Assignment procedure • Affectation of the selected students to groups • Determine the capacity of each path for F/M Number of selected females Number of selected males Case study - Studentselection
Algorithm • Start with student rank:1 (r=1) • If he/she has made a choice; For the gender (M/F) of the student, check path’s capacity • If there is capacity, assign the student to the path • Else go to the next choice Else, put the student to the waiting list • Let r = r+1. Continue with step 2. If student is in waiting list: affectation to the path with minimum students Case study - Student selection
An Example - Affectation If we have a student, Rank: 10 Female & Path: SCM Wait until all assignments are finished Case study - Student selection
Main steps • Affectation to Paths for Students of 2010 Case study - Student selection
Conclusions • Step 1. Sorting in 3 groups (Accepted, Recommended, Rejected) • Step 2. Ranking for the first 2 groups to present to the DM • Step 3. Application of the assignment procedure Case study - Studentselection
Conclusions • Homogeneity • Number of students in each path, gender √ • Cultures, variety of personalities X • Number of selectedstudents • Maximum of 50 from the best categories Case study - Studentselection
Conclusions • A student is rejected if • He/she cannot satisfy the minimum requirements • He/she is ranked below 50 • A student cannot enter his/her preferred path if • The capacity is full with higher ranked students Case study - Student selection
Thank you for your attention Case study - Student selection
Appendices • Promethee II Ranking (for the 2009 results) Case study - Student selection
Appendices • Tree rules (for the 2009 results) Case study - Student selection
Appendices • Decision tree (using results from our model) Case study - Student selection
Appendices • Tree rules (using results from our model) Case study - Student selection
Appendices An example - Affectation If we have a student, Rank: 9 Female & Path: SCM Case study - Student selection