SCHEDULING OF REPETITIVE PROJECTS USING LINE OF BALANCE FOR DIFFERENT SCENARIOS OF ACTIVITIES’ DURATION UNCERTAINTY

S. Mohammed, M. Tantawy, A. Elhakeem
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Abstract

This study deals with the effect of uncertainty of activities’ duration and the number of crews on the total project duration of repetitive projects. Based on the most optimistic (a), most pessimistic (b), most likely (m), and predicted durations (t) of the Program Evaluation Review Technique (PERT) and using the Line of Balance (LOB) method. Six potential scenarios for activities’ duration uncertainty were provided in an attempt to model various situations of uncertainty that a repetitive project may face. The number of crews was calculated based on the deadline of the project and the rate of work in each scenario. A case study project of ten repetitive units with six activities each was studied for all the six scenarios. In each scenario, the LOB charts were created and the delivery durations of all units and the total project duration were calculated. The results of all the scenarios were compared, showing that the most optimistic scenario has the fastest delivery duration for the total project, while the deterioration and most likely scenarios have the slowest delivery durations for the total project. Based on the six proposed scenarios, the mean (µ) and the standard deviation (σ) were calculated. Hence, based on any reasonable statistical distribution, the probability of finishing the project at a certain time could be calculated.
针对活动持续时间不确定性的不同情况,使用平衡线对重复项目进行调度
本文研究了重复项目中活动持续时间和工作人员数量的不确定性对项目总持续时间的影响。基于项目评估评审技术(PERT)的最乐观(a),最悲观(b),最可能(m)和预测持续时间(t),并使用平衡线(LOB)方法。本文提供了活动持续时间不确定性的六种潜在情景,试图对重复项目可能面临的各种不确定性情景进行建模。工作人员的数量是根据项目的截止日期和每个场景的工作速度来计算的。一个包含十个重复单元,每个单元有六个活动的案例研究项目针对所有六个场景进行了研究。在每个场景中,创建LOB图表,并计算所有单元的交付持续时间和总项目持续时间。对所有场景的结果进行比较,显示最乐观的场景对整个项目而言具有最快的交付持续时间,而最糟糕和最可能的场景对整个项目而言具有最慢的交付持续时间。基于这六种方案,计算了平均值(µ)和标准差(σ)。因此,根据任何合理的统计分布,就可以计算出某一时刻完成项目的概率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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