7 Mathematical basis

7.1 Basics

The mathematical basis of Digital Twin is a complex of models and methods for the calibration of actual data, linking the goals of socio-economic development with basic indicators and external factors.

The implementation of mathematical models is made in the form of calculation (software) modules in programming languages R and Java.

Software modules can be integrated into higher-level information and analytical systems through containers Docker or can be accessed through methods REST API.

<<<<<<< HEAD The complex includes the following mathematical models:

======= ## Conceptual city model

7.2 The ensemble of models

The ensemble of models includes the following mathematical models: >>>>>>> 0695d76 (+) - population forecasting model
- city system dynamics model
- specific resource consumption forecasting model
- intersectoral balance model and its derivatives:
- fuel and energy balance model
- model for transport and economic balance
- model for the interterritorial balance of resources
- agent-based model of the intersectoral, dynamic balance of resources
- model for assessing the impact of management decisions on the development of the city
- model for assessing the financial performance of an investment project
- model for assessing social, economic, and environmental impacts
- development of a potential assessment model
- model for assessing the availability of public infrastructure
- tariff regulation model, including:
- calculation of price equilibrium (tariffs) for products for regulated activities
- calculation of the tariff list for trips by public transport
- network models
- distribution of workloads across transport networks (water supply, sewerage, gas supply, electricity supply, public transport)
- identification of resource losses on transport networks
- commuting estimates
- passenger and cargo traffic estimates - risk assessment model, including
- reliability and security of resource supply
- execution of construction projects
- model for assessing the technical condition, wear and tear, and terms of safe operation of the infrastructure