sibadiНаучный рецензируемый журнал "Вестник СибАДИ"The Russian Automobile and Highway Industry Journal2071-72962658-5626The Siberian State Automobile and Highway University10.26518/2071-7296-2018-5-660-671sibadi-744Research ArticleТРАНСПОРТTRANSPORTУПРАВЛЕНИЕ ПРОПУСКНОЙ СПОСОБНОСТЬЮ ГОРОДСКИХ ДОРОГ В УСЛОВИЯХ ВЫБОРА ПАССАЖИРАМИ СПОСОБА ПЕРЕДВИЖЕНИЯCAPACITY PLANNING OF URBAN ROADS IN CONDITION OF PASSENGERS’ TRAVEL MODE CHOICEhttps://orcid.org/0000-0002-1976-7418КорягинМ. Е.KoryaginM. E.

Корягин Марк Евгеньевич - доктор технических наук, доцент, профессор кафедры высшей математики, ScopusAuthorID 12794946600, ResearcherIDM-1500-2013.

630049, Новосибирск, ул. Дуси Ковальчук, 191

Koryagin Mark Evgenievich - Doctor of Technical Sciences, Associate Professor, Professor of the Department of Higher Mathematics, Scopus Author ID 12794946600, Researcher ID M-1500-2013.

630049, Novosibirsk, 191, Dusi Kovalchuk St.

math@stu.ruhttps://orcid.org/0000-0001-7487-0939ТимофееваЕ. Г.TimofeevaE. G.

Тимофеева Елена Геннадьевна - старший преподаватель кафедры высшей математики.

630049, Новосибирск, ул. Дуси Ковальчук, д. 191

Timofeeva Elena Gennadievna - Senior Lecturer of the Department of Higher Mathematics.

630049, Novosibirsk, 191, Dusi Kovalchuk St.

timlama@rambler.ruФГБОУ ВО Сибирский государственный университет путей сообщенияРоссияSiberian State University of Railway EngineeringRussian Federation201811112018155660671Copyright © Корягин М.Е., Тимофеева Е.Г., 20182018Корягин М.Е., Тимофеева Е.Г.Koryagin M.E., Timofeeva E.G.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.sibadi.org/jour/article/view/744Введение

Введение. В статье исследуется проблема управления городским пассажирским транспортом. Участниками транспортной системы являются муниципальные органы власти и пассажиры. Муниципальные органы власти должны оптимизировать ширину проезжей части дороги и частоту движения общественного транспорта. Проезжая часть состоит из двух частей: выделенная полоса для общественного транспорта и полоса для движения личного автотранспорта. Время передвижения на личном автотранспорте зависит от количества полос и выбора пассажирами способа передвижения. Цель пассажиров: минимизировать стоимость передвижения, включающую стоимость времени пассажира. Пассажиры находят оптимальное соотношение между общественным и личным транспортом.

Методы и материалы

Методы и материалы. Математическая модель выбора способа передвижения построена на основе экспоненциального распределения стоимости пассажиро-часа. Время передвижения на личном транспорте описывается BPR-моделью. Конфликт между муниципальными органами власти и пассажирами описывается с помощью теоретико-игровой модели.

Результаты

Результаты. Доказано существование равновесия Нэша для данной модели. Численный пример показывает влияние стоимости времени пассажира и интенсивности пассажиропотока на равновесные ширину проезжей части дороги и частоту движения общественного транспорта.

Обсуждение и заключение

Обсуждение и заключение. Представленная модель позволяет оптимизировать пропускную способность сети дорог в условиях выделенных полос для общественного транспорта и выбора пассажирами способа передвижения. Дальнейшие исследования будут направлены на управление количеством парковочных мест. Также поставлена задача обобщения модели на маршрутную сеть городского пассажирского транспорта и множество перегонов и перекрестков, описывающих дороги реального города.

Introduction

Introduction. The authors conduct the research of the urban passenger transportation problem. Municipal authorities and passengers are regarded as participants of the passenger transportation system. Moreover, the municipal authorities have to optimize road width and public transport frequency. The road consists of a bus lane and lanes for personal vehicles. The vehicle travel time depends on the number of road lanes and passengers’ choice of the travel mode. The passengers’ goal is to minimize total travel costs, including time value. Therefore, the passengers try to find the optimal ratio between public transport and cars.

Materials and methods

Materials and methods. The mathematical model for choosing the mode of transportation is based on the exponential distribution of the passenger cost. Time of movement on personal transport is described by the BPR model. The conflict between municipal authorities and the passengers is described as a theoretic model.

Results

Results. The existence of Nash equilibrium in the model is proved. In addition, the numerical example shows the influence of time value and intensity of passenger flow on the equilibrium of the road width and of public transport frequency.

Discussion and conclusions. The presented model allows optimizing the capacity of the road network in conditions of allocated lanes for public transport and the choice of transportation for passengers. Further research would be aimed at managing the number of parking spaces.

The task is also to generalize the model of the urban passenger transport network, directions and intersections, which describe the real city roads.

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The authors declare that there are no conflicts of interest present.