Simple Approaches to Shift, Days-Off and Tour Scheduling Problems
展示线性规划可高效求解轮班和休息日排程问题,并针对连续运营环境提出一种基于线性规划解取整的启发式方法,能稳定获得近优解。
Shift and days-off scheduling problems have received much attention in the literature of integer programming approaches to workforce scheduling. A typical managerial use would be to schedule full-time employees to minimize the number of labor hours while satisfying variable workforce requirements of a service delivery system. We present computational experience to show that an easily implemented application of linear programming frequently produces optimal solutions to these problems. When the context progresses toward a continuous operating environment (service delivery over 24 hours a day, 7 days a week) we stress the need to shed the myopic views of the shift and days-off scheduling formulations in favor of an integrative tour scheduling formulation. For this problem we observe that a simple heuristic initiated by rounding down the associated LP solution consistently produces near optimal solutions. This observation is based on experiments over varying workforce requirement patterns.