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.
Accounting for possible risks that affect the successful implementation of construction projects is one of the most important tasks in planning and managing construction. The main problem for risk accounting is that they arise under the influence of random factors under conditions of high uncertainty. Therefore, the vast majority of risk accounting methods in construction are based on probabilistic models. Given the fact that recently the level of uncertainty in almost all areas of economic activity has increased significantly, it is necessary to develop new approaches to risk analysis that would respond as accurately and quickly as possible to emerging threats. Aim. The purpose of the study is to develop a mathematical model based on the theory of random Markov processes, which allows, in a probabilistic approach, to analyze the negative impact of adverse factors on the implementation of construction projects in the dynamics of their receipt under conditions of high uncertainty in order to increase the efficiency of construction work. Materials and methods. The risk assessment model of the influence of unfavorable factors on a construction project, presented in the paper, is based on the theory of Markov random processes, which makes it possible to assess the probability of the implementation of possible threats with varying degrees of damage, and to calculate risks during construction work. The model assumes that threats that cause different levels of damage to a construction project arrive at random times and require different times to eliminate them. To implement the model, a system of differential equations is given, which is solved by numerical methods. An analysis of the solution under various conditions of threats is carried out. The influence of negative factors on the construction project during its long-term implementation is considered separately. The analysis of the influence of temporal and probabilistic parameters of the task on the degree of risks in the implementation of construction projects was carried out. Results. The relevance of developing a risk assessment model for the implementation of construction projects is shown, goals and objectives for scientific research are set. The ways of solving the set tasks are given and substantiated. A mathematical model has been developed that makes it possible to estimate the probabilities of finding a construction project in various states, differing in different degrees of risk during the implementation of the project. On the basis of numerical methods, the practical implementation of the model is given for various parameters characteri¬zing the influence of negative factors on the progress of the construction project. The results of the practical implementation of the model are analyzed, recommendations are given for using the model in practice. Conclusion. The presented dynamic risk assessment model for the implementation of construction projects can serve as the basis for building an optimal control system for the progress of construction work and making decisions on the organization of construction activities.
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