Lucko, G (2009) Productivity scheduling method: Linear schedule analysis with singularity functions. Journal of Construction Engineering and Management, 135(4), pp. 246-253. ISSN 0733-9364
Abstract
This paper describes a new integrated method of linear schedule analysis using singularity functions. These functions have previously been used for structural analysis and are newly applied to scheduling. Linear schedules combine information on time and amount of work for each activity. A general model is presented with which activities and their buffers can be mathematically described in detail. The algorithm of the new method forms the body of the paper, including the steps of setting up initial equations, calculating pairwise differences between them, differentiating these to obtain the location of any minima, and deriving the final equations. The algorithm consolidates the linear schedule under consideration of all constraints and, thus, automatically generates the minimum overall project duration. The model distinguishes time and amount buffers, which bears implications for the definition and derivation of the critical path. Future research work will address float and resource analysis using the new model.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | critical path method; geometry; network analysis; productivity; scheduling; time dependence |
| Index terms: | productivity, geometry, network analysis, duration, buffer, critical path, scheduling, structural analysis, critical path method |
| Subjects: | project controls, structural engineering, management, financial risk, operations research, data analysis and analytics, mathematical modelling |
| Topics: | Time Control, Engineering Principles, Research Practice, Business Strategy, Cost Management |
| Descriptive scope: | 3 PCA |
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