A model of the labor productivity dependence on workforce density

Abstract

The paper reviews the dependence of labor productivity on the number of workers within a unit of working area (i.e. workforce density) in the construction sector. The relevance of the problem is demonstrated. Some limitations of the linear model for the dependence, assumed in the construction sector, are discussed. These limitations are linked up with the neglect of labor productivity reduction due to the increased density. The proposed by some researchers concepts which account for the above factor are listed. Their drawbacks are indicated, and the necessity of further research is shown. A "hyperbolic model" is proposed, in which one worker productivity is constant for a certain workforce density rate and then it drops down with the increasing speed. Work productivity reduction in such model is described by the "hyperbolic growth" function. The primary approbation of the model was done for some construction operations at the nuclear power plant reactor building. The density rate was optimized (as per deadline reduction criterion) for this case according to the "hyperbolic model".