Mathematical model of the optimal resources distribution in the construction sphere under conditions of their deficiency

Logistics in the field of construction is one of its most important components, directly affecting the success of the implementation of construction projects. The problem of the optimal distribution of available limited resources is an important and urgent task in planning and organizing construction work, especially in conditions of scarcity of resources. The solution of this problem directly affects the quality and result of construction projects, the duration and rhythm of construction, costs and labor productivity. Aim. The purpose of the study is to develop a mathematical model based on vector optimization methods that allows optimal distribution of various types of limited resources between construction activities, works or objects in order to increase the efficiency of construction projects. Materials and methods. The model of resource distribution described in the paper is based on the theory of vector linear optimization, which makes it possible to distribute limited resources of various types between works, activities, or construction objects. The model takes into account the minimum and optimal requirements for providing construction objects or works with resources, their supply, as well as the priority for supplying objects. A technique for organizing computational procedures according to the model by numerical methods is given. Simulation methods based on computational experiments substantiate the adequacy of the proposed model and the properties of the results obtained from it. Also, the effectiveness of the implementation of the resource allocation model in the system of planning and management of construction projects was assessed. Results. A mathematical model for the distribution of limited resources between construction objects, works or events has been developed and justified. The adequacy of the results obtained by the model is proved. A technique for carrying out computational procedures for the numerical implementation of the model in the MS Excel environment is described. On the basis of computational experiments, the efficiency of applying the resource allocation model in the management of construction projects was evaluated, which averaged more than 34%. Conclusion. The relevance of developing a model for the distribution of resources of various types in the field of construction is shown, the adequacy of the results is proved, the method for obtaining estimates from the model by numerical methods is described, and the economic effect of applying the model in practice is estimated. The proposed resource allocation model leads to a significant increase in the efficiency of organization and management of construction projects and increases the likelihood of their timely completion at minimal cost.