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Construction spatial modeling and scheduling with three-dimensional singularity functions
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DOI：10.1016/j.autcon.2014.03.008.png)
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Previous approaches for construction project scheduling have been limited to one dimension of time for bar charts and two dimensions for linear and repetitive scheduling approaches, which added a measure of work quantity. The question therefore arises if and how it is possible to derive a three-dimensional and ultimately multi-dimensional model. Reviewing mathematical theory finds that traditional functions lack the capability to express intervals for activities. Singularity functions are therefore chosen to newly derive stationary and directional activities in a Cartesian coordinate system, wherein the two dimensions of the floor plan area plus one dimension of time are explicitly modeled in an integrated manner. They are implemented into a conflict-avoiding heuristic scheduling algorithm that minimizes total project duration, which is computerized and validated with example calculations. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Space planning
Constraints
Scheduling
Singularity functions
Mathematical modeling
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