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Modeling Resource Profiles with Singularity Functions
Resources are productive agents on construction projects and are therefore of special interest in project planning. Algorithms use heuristic or evolutionary approaches to (a) allocate resources underneath an availability ceiling to determine the minimum possible project duration or (b) leveling resources of noncritical activities within the fixed project duration toward a smooth profile of an even workflow. However, adding one or several types of resources in histogram bins is scale-dependent, disconnected from the underlying schedule, and computationally inefficient, as any change requires a recalculation. This paper therefore describes how such profiles can be modeled with singularity functions, which have been applied to linear scheduling, as cumulative additions over time. An example demonstrates how the activities and their resources remain coupled during an optimization procedure, e.g. resource leveling. Resources are extracted directly from productivities of their activities. The new approach also allows defining mathematical expressions for specific desirable or available profiles.
Modeling Resource Profiles with Singularity Functions
Resources are productive agents on construction projects and are therefore of special interest in project planning. Algorithms use heuristic or evolutionary approaches to (a) allocate resources underneath an availability ceiling to determine the minimum possible project duration or (b) leveling resources of noncritical activities within the fixed project duration toward a smooth profile of an even workflow. However, adding one or several types of resources in histogram bins is scale-dependent, disconnected from the underlying schedule, and computationally inefficient, as any change requires a recalculation. This paper therefore describes how such profiles can be modeled with singularity functions, which have been applied to linear scheduling, as cumulative additions over time. An example demonstrates how the activities and their resources remain coupled during an optimization procedure, e.g. resource leveling. Resources are extracted directly from productivities of their activities. The new approach also allows defining mathematical expressions for specific desirable or available profiles.
Modeling Resource Profiles with Singularity Functions
Lucko, Gunnar (author)
Construction Research Congress 2010 ; 2010 ; Banff, Alberta, Canada
Construction Research Congress 2010 ; 1165-1174
2010-05-04
Conference paper
Electronic Resource
English
Modeling Resource Profiles with Singularity Functions
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