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Динамические Модели Организации Грузопотока На Железнодорожном Транспорте

Author

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  • Бекларян Л.А.*
  • Хачатрян Н.К.**

Abstract

*ЦЭМИ РАН, Москва **Национальный исследовательский университет "Высшая школа экономики", Москва *E-mail: beklar@cemi.rssi.ru **E-mail: nerses-khachatryan@yandex.ru Работа частично поддержана Российским фондом фундаментальных исследований (проекты № 19-01-00147 и 19-010-00958) Аннотация. Статья посвящена математическому моделированию процесса организации железнодорожных грузоперевозок на транспортной сети с большим числом промежуточных станций и расположенных между ними перегонов для временного хранения части грузов. Исследуется модель, прогнозирующая динамику загруженности станций и потоков, возникающих в транспортной сети, при заданной процедуре движения грузопотока, использующей две технологии, единые для всех станций. Первая технология основана на нормативных правилах взаимодействия соседних станций. Согласно ей интенсивность приема и отправки грузов на произвольной станции должна зависеть от загруженности соседних станций. Вторая технология зависит от технических возможностей станций и основана на взаимодействии станции с соседними перегонами. Неотъемлемой частью процесса организации грузоперевозок является система контроля. В данной модели применяется простая система контроля, при которой объемы грузов на соседних станциях должны совпадать с лагом времени, единым для всех станций. Такая модель описывается системой дифференциальных уравнений, удовлетворяющей нелокальным линейным ограничениям. Для этой модели исследуются режимы грузоперевозок, удовлетворяющие заданной системе контроля. Режимы описываются решениями типа бегущей волны и двумя типами их расширений. Один тип расширения зависит от корректировки технологий грузоперевозок и допускает разрывные решения, второй тип - от ослабления системы контроля и допускает выполнимость нелокальных линейных ограничений с заданной погрешностью. Стационарные режимы грузоперевозок исследуются на устойчивость.

Suggested Citation

  • Бекларян Л.А.* & Хачатрян Н.К.**, 2019. "Динамические Модели Организации Грузопотока На Железнодорожном Транспорте," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 55(3), pages 62-73, июль.
    • Handle: RePEc:scn:cememm:v:55:y:2019:i:3:p:62-73
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