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Optimization Method based on Genetic Algorithms using Parameterized Active Schedules for Project Scheduling with Limited Resources

机译:资源受限项目调度的基于遗传算法的参数化主动调度优化方法

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摘要

A project can be depicted by a graph where the activities are numerically numbered. Associated with each activity is a set of possible durations with specific resource requirements. If resources are available in limited quantities each time period, the resources are considered renewable (e.g., machines or manpower). As the number of project activities increases and thus the complexity of their sequential ordering, the need for organized planning and scheduling increases too. This need further increases when a large number of project activities are considered relative to the uniqueness of each construction project in terms of the dynamic plant and nonstandardized nature of the work. So, finding feasible schedules which efficiently use scarce resources is a challenging task within project management. This type of problem belongs to the class of NP-hard optimization problems, therefore justifying the indispensable use of heuristic or metaheuristic solution procedures when solving large problem instances. The optimization methods presented combines genetic algorithms and a schedule generator scheme which generates parameterized active schedules. The chromosome representation of the problem is based on random keys. Parameterized active schedules are constructed using a priority-rule heuristic in which the priorities of the activities are defined by the genetic algorithm.
机译:一个项目可以用一个图表来描述,其中活动被数字编号。与每个活动相关的是一组可能的持续时间,具有特定的资源需求。如果每个时间段内可用的资源数量有限,则将资源视为可再生资源(例如,机器或人力)。随着项目活动数量的增加以及顺序订购的复杂性,对组织的计划和安排的需求也随之增加。当考虑到相对于每个建设项目的唯一性而言,就动态工厂和工作的非标准化性质而言,大量的项目活动会进一步增加这种需求。因此,找到有效利用稀缺资源的可行时间表是项目管理中的一项艰巨任务。这种类型的问题属于NP困难优化问题类别,因此,在解决大型问题实例时,有必要使用启发式或元启发式求解程序。提出的优化方法结合了遗传算法和时间表生成器方案,该方案生成了参数化的活动时间表。问题的染色体表示基于随机密钥。使用优先级规则试探法构造参数化活动时间表,其中活动的优先级由遗传算法定义。

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