Development of a mathematical model for the workflow of manufacturing of a flat section of a composite dock pontoon

The article reviews technical solutions in dock construction that are aimed at providing the parameters necessary for the manufacture of reinforced concrete pontoon of a composite dock. It is revealed that these solutions do not account for the workflow parameters; moreover, changing these parameters does not influence fund concentration. A model has been developed for the workflow of manufacturing of a flat section of a dock pontoon. It enables mastering control actions that reduce the probability of the risk manifestation in the manufacture of the dock body. The model can be applied to evaluate the reduction of inefficient resource usage by managing the workflow risks and decreasing the standard resource consumption through improvement of manufacture organization. Developing the mathematical model has been preceded by formalization of the requirements that establish the manufacture program of the enterprise while minimizing resource consumption in the form of a system of equations. A study of dock construction has been performed that helped identify six major types of resources the usage of which affects formation of fund concentration for the manufactured flat sections of dock pontoons. They are metal, concrete, water, electricity, personnel, and time. The article presents a comprehensive evaluation of the fund concentration of the workflow through total loss functionality, provided that its minimum value corresponds to the minimum fund concentration of the workflow. The structure of the proposed model has been developed using the Integration Definition for Function Modeling methodology. Verification of the model has been performed through comparing the modeling results at the values of the resulting parameters that correspond to the actual values of present-day dock construction. The developed model has been used to study the influence of various organizational and technical measures on the fund concentration of the workflow. The control actions affecting resource consumption over the workflow have also been evaluated.