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Session TB7 - Horaires de personnel / Shift Scheduling

Day Tuesday, May 05, 2009
Room Tal Gestion globale d'actifs inc.
President Guy Desaulniers

Presentations

01h30 PM-
01h55 PM
A Heuristic Branch and Price Approach for the Nurse Scheduling Problem
  Lakhdar Djeffal, Université Hadj Lakhdar BATNA, Mathématique, Faculté des Sciences Dpt Maths, Cité 106 lgts bloc2 N°4 Hadj Lakhdar, BATNA, ALGERIENNE, ALGERIE, 05000
Gilles Goncalves, Faculté des Sciences Appliquées, Laboratoire LGI2A, Technoparc - Futura, Béthune, France, 62400

This paper describes a method to solve the nurse scheduling problem. We use the dynamic Column Generation (CG) method combined with a Branch and Bound procedure. The search can be guided by a variable ordering heuristic selected by the CG that attempts to minimize the number of column generated.


01h55 PM-
02h20 PM
Optimizing Daily Agent Scheduling in a Multiskill Call Center
  Wyean Chan, Université de Montréal, Informatique et recherche opérationnelle, C.P. 6128, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3J7
Athanassios N. Avramidis, University of Southampton, School of Mathematics, Highfield, Southampton, UNITED KINGDOM, SO17 1BJ
Michel Gendreau, Université de Montréal, Informatique et recherche opérationnelle, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3J7
Pierre L'Écuyer, GERAD, Université de Montréal, Informatique et recherche opérationnelle/CIRRELT/GERAD, C.P. 6128, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3J7
Ornella Pisacane, University of Calabria

We are interested in the agent scheduling problem in multiskill call centers. The objective is to minimize the total cost of agents under constraints on the expected service level per call type and period, and aggregated. We study an approach that uses integer or linear programming with simulation-based cutting-plane methods, combined with heuristic improvements.


02h20 PM-
02h45 PM
Assigning Multiple Activities to Work Shifts
  Quentin Lequy, GERAD, École Polytechnique de Montréal, Mathématiques et génie industriel, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
Mathieu Bouchard, Université Laval, FORAC, Pavillon Adrien-Pouliot, Québec, Québec, Canada, G1K 7P4
Guy Desaulniers, GERAD, École Polytechnique de Montréal, Mathématiques et génie industriel, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
François Soumis, GERAD, École Polytechnique de Montréal, Mathématiques et génie industriel, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7

The multi-activity assignment problem consists of assigning activities to fixed work shifts so as to minimize activity undercoverage. We compare heuristic methods based on two integer programming models. We use a rolling horizon method and a specific branching method to tackle large-sized instances. Computational results will be presented.


02h45 PM-
03h10 PM
A Column Generation Technique for the Shift Scheduling Problem with Flexible Breaks
  Batoul Mahvash, École Polytechnique de Montréal, Mathématiques et génie industriel, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada
François Soumis, GERAD, École Polytechnique de Montréal, Mathématiques et génie industriel, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7

A shift scheduling problem involves scheduling employees to meet demands that change over an operating day. For the special case of given shifts containing break windows, a column generation technique is used to produce accurate results for the large instances. In this case activity undercoverage must be minimized.


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