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В первых разделах учебного пособия рассмотрены основы теории множеств, элементы математической логики, теория графов. Основная часть пособия посвящена наиболее эффективным методам оптимизации, основам линейного и нелинейного программирования, динамическому программированию, сетевым методам, элементам теории игр. Для поиска экстремумов функции одной переменной предлагается использовать метод дихотомии, золотого сечения, метод Фибоначчи, а также методы более высокого порядка: Ньютона, касательных и секущих. При поиске экстремумов функции многих переменных рассматриваются метод покоординатного спуска и методы первого порядка: градиентный метод с переменным шагом, метод Ньютона и наискорейшего спуска. Изложен алгоритм решения задач линейного программирования симплекс-методом, приводится также геометрический метод их решения. Для решения задач нелинейного программирования используются геометрический метод и методы Лагранжа и Куна - Таккера. Рассмотрены основы динамического программирования, применение метода обратной прогонки для определения оптимальной траектории. В главе, посвященной основам теории игр, рассмотрены матричные игры, игры со смешанными стратегиями. Приводятся подробные примеры решения вышеизложенных задач, а также задания для самостоятельной работы. Пособие адресовано студентам вузов, обучающимся по направлениям подготовки: "Информатика и вычислительная техника", "Информационные системы и технологии", "Автоматизация технологических процессов и производств", "Мехатроника и робототехника", "Системный анализ и управление" и другим, где предусмотрен курс математических методов системного анализа. 2-е издание, стереотипное.
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Внешний вид товаров и/или упаковки может быть изменён изготовителем и отличаться от изображенных на Яндекс Маркете.
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