4.7 Article

A two-stage stochastic programming approach for multi-activity tour scheduling

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 262, Issue 2, Pages 620-635

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2017.04.055

Keywords

Scheduling; Stochastic multi-activity tour scheduling problem; Two-stage stochastic programming model; L-shaped method; Context-free grammars

Funding

  1. Fonds Quebecois de Recherche sur la Nature et les Technologies [137943]

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This paper addresses a discontinuous multi-activity tour scheduling problem under demand uncertainty and when employees have identical skills. The problem is formulated as a two-stage stochastic programming model, where first-stage decisions correspond to the assignment of employees to weekly tours, while second-stage decisions are related to the allocation of work activities and breaks to daily shifts. A multi-cut L-shaped method is presented as a solution approach. Computational results on real-based and randomly generated instances show that the use of the stochastic model helps to reduce understaffing and overstaffing costs, when compared with the expected-value problem solutions. (C) 2017 Elsevier B.V. All rights reserved.

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