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A flexible MILP model for multiple-shift workforce planning under annualized hours
Authors:Alain Hertz  Nadia Lahrichi  Marino Widmer  
Institution:1. Département de mathématiques et de génie industriel, École Polytechnique de Montréal, C.P. 6079, succ. Centre-ville, Montréal, Québec, Canada H3C 3A7;2. Département de mathématiques et de génie industriel, École Polytechnique de Montréal, GERAD 3000, chemin de la Côte-Sainte-Catherine, Montréal, Québec, Canada H3T 2A7;3. Département d’informatique, Université de Fribourg, Bd de Pérolles 90, 1700 Fribourg, Switzerland
Abstract:Flexibility in workforce planning is one of the best ways to respond to fluctuations of the demand. This paper proposes a flexible mixed integer linear programming (MILP) model to solve a multiple-shift workforce planning problem under annualized working hours. The model takes into account laws and collective agreements that impose constraints on overtime and holidays. We consider possible gradual hiring of full time and partial time workers. Several objectives are pursued such as balancing the workload of the employees or minimizing the workforce size. Computational experiments on a real life problem demonstrate the effectiveness of the model.
Keywords:OR in manpower planning  Mixed integer linear programming  Decision support systems
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