The impact of project characteristics on the efficiency of activity overlapping in project scheduling

F. Berthaut, R. Pellerin, A. Hajji, Nathalie Perrier
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Abstract

This paper tackles the project scheduling problem in presence of complex networks of activities, resource constraints, overlapping and rework. The objective is to analyse the influence of project characteristics, such as project size, resource constraints, overlapping opportunities and rework, on the efficiency of overlapping in terms of reduction of the project makespan. An exact solution procedure and a metaheuristic are thus proposed to minimize the project makespan, while limiting the use of overlapping. A two-part model is used to conduct a statistical analysis of the influence of project characteristics on the makespan gain with overlapping. Results suggest that the best overlapping decision should consist in overlapping few pairs of overlappable activities with a large degree of overlapping. Furthermore, for complex projects, overlapping decisions should not rely solely on the criticality of the activities. These findings provide a better understanding of overlapping decisions and should guide planners in improving existing practices.
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项目特征对项目进度中活动重叠效率的影响
本文研究了存在复杂活动网络、资源约束、重叠和返工的项目调度问题。目标是分析项目特征(如项目规模、资源限制、重叠机会和返工)在减少项目总跨度方面对重叠效率的影响。因此,提出了一种精确的求解过程和一种元启发式方法来最小化项目的最大完工时间,同时限制了重叠的使用。采用两部分模型统计分析了项目特征对有重叠的最大完工时间增益的影响。结果表明,最佳的重叠决策应该是重叠少数对重叠程度较大的可重叠活动。此外,对于复杂的项目,重叠决策不应该仅仅依赖于活动的重要性。这些发现提供了对重叠决策的更好理解,并应指导规划者改进现有做法。
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