REAL

Singularity functions for continuous precedence relations and nonlinear activity-time-production functions

Hajdu, Miklós and Lucko, Gunnar and Su, Yi (2017) Singularity functions for continuous precedence relations and nonlinear activity-time-production functions. AUTOMATION IN CONSTRUCTION, 79. pp. 31-38. ISSN 0926-5805

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Abstract

Two fundamental limitations of the Precedence Diagramming Method (PDM), which currently hinder the proper modeling of construction projects are discussed and overcome. Activities in the original model are (1) assumed to progress linearly from their start to their finish, which is rarely true in construction projects, and (2) connected only via their end points. The extension that is presented here therefore enables a general description of activity-time-production functions: A new type of precedence relation is defined and this new model can handle nonlinear activities. Theoretically, proper modeling of overlapping activities has been impossible with traditional precedence relationships. This is due to the fact that traditional precedence relations create logic links only between endpoints of activities. Yet overlapping should be defined as a ‘continuous’ relation that uses time or work (e.g. location) units between all points of a predecessor activity and all points of its successor. Continuous precedence relations for scheduling techniques have been envisioned earlier, but the model presented there was able to function properly only if the successor was linear. The contribution of this paper is to derive an algorithm for activity pairs that are connected by a continuous relation and can be nonlinear. Comparing calculations based on traditional calculus and singularity functions validates the new approach. © 2017 Elsevier B.V.

Item Type: Article
Subjects: T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 07 Sep 2018 07:54
Last Modified: 07 Sep 2018 07:54
URI: http://real.mtak.hu/id/eprint/83205

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