Mathematical model of optimal distribution of freight flows in the region in the transport network and their development

2021 ◽  
Vol 10 (10) ◽  
pp. 1235-1242
Author(s):  
A.U. Kuziev
Keyword(s):  
Mathematical Model ◽  
Transport Network ◽  
Optimal Distribution

scholarly journals Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

2021 ◽  
Author(s):  
Alessandro Zocca ◽  
Bert Zwart
Keyword(s):  
Mathematical Model ◽  
Renewable Energy ◽  
Smart Grids ◽  
Transport Network ◽  
Power Grids ◽  
Performance Gain ◽  
Power Losses ◽  
Transport Networks ◽  
Trade Off ◽  
Stochastic Load

Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of controllable resources in a lossy transport network and the performance gain they yield in terms of expected power losses. Our results are explicit and reveal the interaction between the level of flexibility, the intrinsic load uncertainty, and the network structure.

scholarly journals Optimization of Parking Public Transport Vehicles in Ostrava

2015 ◽  
Vol 27 (1) ◽  
pp. 69-75 ◽  
Author(s):  
Dušan Teichmann ◽  
Michal Dorda ◽  
Helena Bínová ◽  
Martin Ludvík
Keyword(s):  
Mathematical Model ◽  
Public Transport ◽  
Transport Network ◽  
Parking Lots ◽  
Total Length

A typical trait of public transport is a spatially scattered demand. A route net that is operated by a carrier (or several carriers) has to be adapted to the demand. Public transport vehicles that are not used during a period of a day are usually parked in defined parking lots that have a given capacity. When the vehicle goes from the place where its schedule ends (usually a terminus of the last connection served by the vehicle) to the place where the vehicle should be parked, a non-productive journey occurs. The same occurs at the beginning of the vehicle schedule as well. The main goal of the paper is to present a mathematical model that enables minimization of the total length of all the non-productive journeys. Functionality of the proposed mathematical model was tested in the conditions of a real bus public transport network.

Research on Heat and Power Load Optimizing Distribution for Heat Supply Unit

2014 ◽  
Vol 711 ◽  
pp. 112-116
Author(s):  
Jian Guo Jin ◽  
Jing Wen Yu ◽  
Li Hua Cao
Keyword(s):  
Mathematical Model ◽  
Heat Supply ◽  
Descent Method ◽  
Optimal Distribution ◽  
Parallel Operation ◽  
Constraint Condition ◽  
Experiment Data ◽  
Power Load ◽  
Correction Curve ◽  
The Mathematical Model

According to the thermal experiment data and correction curve of heat supply units, the mathematical analysis formula of thermodynamic characteristic has been given accurately in this paper. Moreover, the mathematical model with objective function and the constraint condition for parallel operation of several heat supply units has been built up. By using simplex method and improved SCDD(Synthesized Constrained Dual Descent) method on the basis of the mathematical model, optimal distribution of heat and power load between heat supply units has been realized, and result indicates that this model is reliable and may achieve the goal of energy conservation.

scholarly journals Algorithm for dynamic route assignment in complex street layouts

2019 ◽  
pp. 37-40
Author(s):  
М.В. Деркач ◽  
І.С. Скарга-Бандурова
Keyword(s):  
Mathematical Model ◽  
Public Transport ◽  
Graph Model ◽  
Transport Network ◽  
Key Points ◽  
Routing Techniques ◽  
Dynamic Route ◽  
Street Layouts

In some scenarios, public transport vehicles do not have permanently fixed routes that make it hard to implement optimal automatic routing techniques and use forecasting algorithms. To solve the problem of route destination, a mathematical model of the dynamic route assignment is developed. It is based on the graph model of the street layouts and includes the results of the arrival of vehicles in certain points. The proposed algorithm enables to dynamically recalculate the routes, depending on the intersection of the four types of nodes representing the key points of the transport network. A case study for the route assignment in city of Severodonetsk is discussed.

Mathematical model of aperiodic timetables of urban electric transport

2020 ◽  
Vol 6 (4) ◽  
pp. 499-517
Author(s):  
A. M. Gorbachev ◽  
Keyword(s):  
Mathematical Model ◽  
Traffic Management ◽  
Optimization Criterion ◽  
Urban Transport ◽  
Transport Network ◽  
Electric Transport ◽  
Scheduling Theory ◽  
Management Planning ◽  
Transport Control ◽  
Development Paths

The analysis of scientifi c publications and timetable models is given. Existing works have been used as a basis of a classification of timetables by the frequency of time values. The urban transport network is presented in the form of a multigraph. The transition from a multigraph of the urban transport network to a network of events characterizing the traffi c process is considered. Constraints on time values have been formalized to solve the main problem of the scheduling theory. The proposed formalization factors in the specifi cs of traffic management planning in Russia and other post-Soviet countries. A mathematical model of aperiodic timetables for the ground urban electric transport traffic based on the theory of linear programming is presented. The optimization criterion for solving the main problem of the scheduling theory has been substantiated. The uniformity of traffi c intervals is used as an optimization criterion for solving the main problem of the scheduling theory. The article provides tabular timetables used in urban transport to describe the traffi c process in the absence of significant events on the line. The implementation of the model presented in this article is exemplified by the automated tram and trolleybus timetable design software being part of the automated urban electric transport control system currently used in Saint Petersburg to form tram and trolleybus timetables. The examples of calculating the vehicle departure interval diagrams have been used to demonstrate the function of aligning the traffi c intervals. In conclusion, the advantages and development paths of the proposed model of aperiodic timetables for the ground urban electric transport traffic are listed

Choosing the best options of timber cargo traffic

2015 ◽  
Vol 8 (2) ◽  
pp. 63-67
Author(s):  
Сушков ◽  
Sergey Sushkov ◽  
Бурмистрова ◽  
Olga Burmistrova
Keyword(s):  
Mathematical Model ◽  
Cost Function ◽  
Rail Transport ◽  
Optimal Distribution ◽  
Optimal Cost ◽  
Optimal Scheme ◽  
Mode Of Transport ◽  
And Function ◽  
The Mathematical Model

In the article the mathematical model of the optimal distribution of traffic between the various modes of transport. The model of the distribution of the requirements of traffic by mode of transport, the optimal cost function at the railway timber transportation option and function of the optimal scheme of cargo flows, taking into account interoperability timber. The solution of these tasks to determine the scope of rational road and rail transport under various conditions.

Sign in / Sign up

Export Citation Format

Share Document