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

scholarly journals MATHEMATICAL MODEL OF ADAPTIVE CONTROL OF THE FUNCTIONING OF A TRAFFIC LIGHT AT THE CROSSROADS OF A URBAN TRANSPORTATION NETWORK

2021 ◽  
pp. 53-58
Author(s):  
Igor Gamayun ◽  
Serhii Shashkov
Keyword(s):  
Mathematical Model ◽  
Adaptive Control ◽  
Control Function ◽  
External Environment ◽  
Urban Transport ◽  
Transport Network ◽  
Economic Losses ◽  
Traffic Light ◽  
Traffic Lights ◽  
Traffic Jams

The subject of the research is the process of modeling the functioning of a traffic light, providing adaptive control of vehicles at the intersectionsof the city transport network. In the process of functioning of urban transport networks, such phenomena as traffic jams occur, which lead tosignificant economic losses, environmental degradation, frustration of road users and other types of negative impacts. Traffic jams often occur at thenodes of the urban transport network, which are intersections - the places of intersection, abutment or branching of roads of the urban network of thesame level. One of the causes of congestion is the ineffective management of traffic flows at intersections, which is provided by such an element of theintersection as a traffic light. Within the framework of the existing transport network, traffic lights that implement adaptive control with the help ofappropriate local controllers, and more complex system controllers created on their basis, ensuring that the situation in the external environment istaken into account, which is represented by several interconnected intersections, is currently one of the most important directions for solving theproblem of traffic jams. The traffic light flow control function is implemented using a microprocessor controller, which, according to a given algorithm, switches the traffic light colors corresponding to the phases of allowing and prohibiting the movement of the vehicle in the directions of theintersection roads.The article proposes a mathematical model for building an algorithm for the functioning of a microprocessor traffic light controller, whichprovides a prompt and adequate display of situations at intersections. The main features of the model include responsiveness to changes in situations atan intersection by changing the duration of the permissive phase of movement in each cycle of traffic light operation in proportion to the length of thequeue of vehicles in the corresponding direction of travel; adequate display of the external environment by several expressions of Poisson’s law,differing in different values of the parameter, each of which corresponds to a certain daily interval of traffic light functioning; the dynamics of changesin the traffic situation due to a decrease in the number of vehicles in the queue due to the passage of the intersection by vehicles during the green phaseof the traffic light is determined on the basis of expressions that determine the movement of bodies with uniformly accelerated and uniform movement,as well as on the basis of the differential equation of the dynamics of movement of vehicles in one row taking into account the delay caused by thereaction of drivers.

Human Factors in Urban Transport: Control Room Resource Management Training (CRRM)

2021 ◽  
Vol 65 (1) ◽  
pp. 1466-1469
Author(s):  
Jana Schadow ◽  
Normen Wiegand ◽  
Carmen Bruder
Keyword(s):  
Resource Management ◽  
Management Training ◽  
Urban Transport ◽  
Control Room ◽  
Control Center ◽  
Initial Control ◽  
Transport Control ◽  
Successful Approach ◽  
Control Rooms ◽  
Refined Version

Control center operations are highly demanding in terms of the collaboration required for monitoring and decision making in teams. In a joint effort led by the DLR, several institutions investigated psychological requirements among teams in control centers. This involved holding workshops and shadowing the work of experts for operative processes in control rooms of several industry partners (Deutsche Flugsicherung GmbH, Deutsche Lufthansa AG, Flughafen Hamburg GmbH, Hamburger Hochbahn AG). An initial control room resource management (CRRM) training was developed and tested with a group of operators from the Galileo Control Center (GCC). The refined version of the 2-day CRRM training was developed for groups of 10-12 participants and was validated in seven training sessions with a total of 79 operators from the subway control center of the Hamburger Hochbahn AG. In conclusion, the CRRM training provides a successful approach to improve teamwork in control rooms.

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.

scholarly journals ROLE OF TRAM TRANSIT IN FORMATION OF MAGNITOGORSK TRANSPORTATION SYSTEM (1930–1955)

2020 ◽  
Vol 17 (5) ◽  
pp. 316-325
Author(s):  
M. N. Potemkina ◽  
M. V. Gryaznov ◽  
T. G. Pashkovskaya ◽  
E. A. Timofeev
Keyword(s):  
Soviet Union ◽  
Transport System ◽  
Urban Transport ◽  
Political Life ◽  
Information Support ◽  
Transport Systems ◽  
Electric Transport ◽  
Route Network ◽  
Time Period

The article provides information about the state of Magnitogorsk electric transport during its formation. This is one of the steps to preserving the history of emergence and development of tram traffic, an attempt to outline its fundamental role in formation of the transport system, as well as in socio-economic and political life of Magnitogorsk, one of the first so called social cities of the Soviet Union. The article is structured into sections relating to expansion of the tram route network, state and development of tram fleet. The considered time period captures the years of the Great Patriotic War and is limited to the beginning of the «thaw» in the domestic political life of the Soviet state. Through systematization of documentary evidence, the fundamental role of tram traffic in formation of the transport system of Magnitogorsk for the studied time period is determined. This should contribute to development of information support for research on the historical patterns of formation of urban transport systems in the period of industrialization.This issue offers the first part of the article.

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