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Оптимальное Управление Процессом Производства При Выполнении Заказа К Заданному Сроку

Author

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  • Орёл Е.Н.
  • Орёл О.Е.

Abstract

Обсуждаются особенности применения моделей оптимального управления в экономических задачах. Акцентируется внимание на необходимости поиска глобального экстремума. Предлагается, как в вариационном исчислении строить центральные поля экстремалей и исследовать их на глобальный экстремум. Центральное поле состоит из экстремалей, выходящих из одной точки и однократно покрывающих область достижимости. Поскольку строить такое поле аналитически гораздо труднее, чем находить одну экстремаль, которая может оказаться доставляющей лишь локальный экстремум, предлагается больше внимания уделять численным методам. Указанная программа реализуется на известной модельной задаче управления процессом выполнения заказа на выпуск продукции к заданному сроку с минимальными затратами. Строится центральное поле экстремалей Понтрягина. Экстремаль общего положения состоит из трех последовательно выполняемых режимов. Для этой модели приводятся численные эксперименты.

Suggested Citation

  • Орёл Е.Н. & Орёл О.Е., 2016. "Оптимальное Управление Процессом Производства При Выполнении Заказа К Заданному Сроку," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 52(3), pages 65-77, июль.
    • Handle: RePEc:scn:cememm:v:52:y:2016:i:3:p:65-77
    Note: Москва
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    References listed on IDEAS

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    1. Caputo,Michael R., 2005. "Foundations of Dynamic Economic Analysis," Cambridge Books, Cambridge University Press, number 9780521842723.
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