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PhD à Montréal et Québec : Solution methodologies for binary quadratic optimization problems

Forum 'Emplois' - Sujet créé le 04/06/2021 par Marcel Mongeau (184 vues)


Le 04/06/2021 par Marcel Mongeau :

Funded PhD position in Combinatorial Optimization (UQAM and Université Laval)


Dear all,

We are looking for candidate for Ph.D position in the area of Combinatorial optimization.

All the details of the offer are presented below.
Thank you for disseminating to any one suitable.


Project title: Solution methodologies for binary quadratic optimization problems


Location: Montreal and Quebec City, Canada


Supervisors: Leandro Coelho (Université Laval) and Franklin Djeumou Fomeni (Université du Québec à Montréal)


Start date: 1 January 2022

Application deadline: 15 August 2021

Duration: 4 years


Summary of the project:


Binary Quadratic Optimization (BQO) is a special class of discrete optimization, which amounts to optimizing a quadratic objective function of binary decision variables subject to a set of linear constraints. Some applications of BQO include portfolio optimization, projects selection, sustainable development, facilities location and vehicle routing problems. BQO problems are known to be very challenging to solve due to the non-linear nature of their objective functions and the discrete nature of their decision variables. Indeed, even simple special cases of BQO, such as the quadratic knapsack problem, the quadratic assignment problem, etc., are known to be strongly NP-hard. The aim of this research project is to develop a host of innovating solution methodologies for solving BQO problems. These methodologies will include heuristic, meta-heuristics and exact algorithms. Some of the techniques to be used include, but not limited to, dynamic programming, cutting planes, polyhedral studies, branch-and-cut and decision diagram.


We invite applications from highly motivated candidates for full-time PhD positions to develop advanced methodologies for solving BQO problems and use them for some applications in finance, in energy and in transportation.


Work environment:

The successful candidates will be jointly supervised by Leandro Coelho (professor at Université Laval in Quebec City) and Franklin Djeumou Fomeni (professor at Université du Québec à Montréal, UQAM, Montreal). They will also have the opportunity to become members of both GERAD (www.gerad.ca) and CIRRELT (www.cirrelt.ca).


Qualifications:

Masters in Operations Research or equivalent

Knowledge of optimization methods (e.g.: heuristics, linear programming)

Programming skill: C/C++ (preferred) or Python/Matlab


Conditions:

A financial support of up to 22 000$ per year will be given


Required documents:

Degrees certificates, Academic transcripts, CV, Cover letter and two reference letters


To apply:

Email all documents to djeumou_fomeni.franklin@uqam.ca / leandro.coelho@fsa.ulaval.ca
 







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