期刊
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
卷 272, 期 3, 页码 859-867出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2018.07.010
关键词
Scheduling; Shift scheduling problem; Context-free grammar; Lagrangian relaxation; Matheuristic
资金
- CONACYT
- Polytechnique Montreal
The multi-activity shift scheduling problem involves assigning a sequence of activities to a set of employees. In this paper, we consider the variant where the employees have different qualifications and each activity must be performed in a specified time window; i.e., we specify the earliest start period and the latest finish period. We propose a matheuristic in which Lagrangian relaxation is used to identify a subset of promising shifts, and a restricted set covering problem is solved to find a feasible solution. Each shift is represented by a context-free grammar. Computational tests are carried out on two sets of instances from the literature. For the first set, the matheuristic finds a solution with an optimality gap less than 0.01% for 70% of the instances and improves the best-known solution for 16% of them; for the second set, the matheuristic reaches the best-known solutions for 55% of the instances and finds better solutions for 37.5% of them. (C) 2018 Elsevier B.V. All rights reserved.
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