Models of resource management in the construction sector

The paper presents three mathematical models that facilitate resource management of construction works. The model of the efficient support of construction sites makes it possible to optimize the distribution of resources to sites with logistics accounted for. It helps to organize the optimal supply of construction sites or projects with resources of various types both to fully satisfy the needs of consumers and to minimize the costs of organizing supply activities. The model for the optimal distribution of scarce resources between objects enables the distribution of limited resources while minimizing the disruption of construction work. It is shown that the efficiency of the presented model for distributing scarce resources is about 34 % on average. Models for timely replenishment of resource reserves will allow for probabilistic forecasting of resource availability over time. This model facilitates probabilistic methods to predict the volume of necessary resource reserves at a particular construction site under the conditions of unstable dynamics of their use. When developing the models, methods of mathematical programming and Markov random processes were employed. These models will make it possible to carry out operational management of construction project inventories under the conditions of unstable supply and consumption, as well as to plan measures to increase the volume of supplied stocks to objects depending on the speed of their consumption with the influence of external conditions and internal factors accounted for.

1. Barkalov S.A., Moiseev S.I., Serebryakova E.A. Optimization of distribution and transportation of resources in agriculture. Sistemy upravleniya i informatsionnyye tekhnologii = Management systems and information technologies. 2022;90(4):26–30. (In Russ.).

2. Korneenko V.P. Optimization methods. Moscow, Vysshaya shkola; 2007. 664 p. (In Russ.).

3. Barkalov S.A., Moiseev S.I., Serebryakova E.A. Mathematical model of optimal allocation of resources in the construction industry in conditions of their shortage. Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Komp'yuternyye tekhnologii, upravleniye, radioelektronika = Bulletin of the South Ural State University. Series: Computer technologies, control, radio electronics. 2023;23(1):89–99. (In Russ.).

4. Sokolov A.V. Methods of optimal solutions. In 2 volumes. V. 1. General provisions. Mathematical programming. Moscow, Fizmatlit; 2012. 564 p. (In Russ.).

5. Barkalov S.A., Moiseev S.I., Serebryakova E.A. A model of inventory management in the construction industry based on Markov random processes. Inzhenernyy vestnik Dona = Engineering Bulletin of the Don. 2023;98(2):211–223. (In Russ.).

6. Waller M.A., Esper T.L. The definitive guide to inventory management: principles and strategies for the efficient flow of inventory across the supply chain. Pearson Education; 2014. 150 p.

7. Ventzel E.S., Ovcharov L.A. Theory of random processes and its engineering applications. Moscow, Vysshaya shkola; 1998. 354 p. (In Russ.).

8. Matalytsky M.A. Elements of the theory of random processes: textbook. allowance. Grodno, Grodno State University; 2004. 326 p. (In Russ.).

9. Miller B.M., Pankov A.R. Theory of random processes in examples and problems. Moscow, Fizmatlit; 2002. 320 p. (In Russ.).

10. Barkalov S.A., Glushkov A.Yu., Moiseev S.I. Dynamic model of project development and implementation under the influence of external factors. Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Komp'yuternyye tekhnologii, upravleniye, radioelektronika = Bulletin of the South Ural State University. Series: Computer technologies, control, radio electronics; 2020:20(3):76–84. DOI: 10.14529/ctcr200308. (In Russ.).