The mathematical modelling of the production of construction mixtures with prescribed properties
DOI:
https://doi.org/10.14529/mmp150108Ключевые слова:
системы леонтьевского типа, производство строительных смесей.Аннотация
Предложен метод математического моделирования состава строительных смесей с заданными свойствами. В основе метода лежит теория оптимального управления системами уравнений леонтьевского типа. Уравнения леонтьевского типа первоначально возникли как обобщения известной экономической модели В. Леонтьева 'затраты - выпуск' с учетом запасов. Затем они с успехом были использованы в динамических измерениях, породив тем самым теорию оптимальных измерений. Во введении на описательном уровне обсуждается идеология предлагаемой модели. Для иллюстрации использован пример составления простейших бетонных смесей. В первом параграфе моделируется процесс производства однотипных строительных смесей (например, бетонных смесей) в зависимости от финансовых вложений. В результате определяется цена единицы произведенной продукции. Во втором параграфе закладывается основа для будущего построения численных алгоритмов, конструирования комплексов программ и проведения вычислительных экспериментов. Помимо этого дается объяснение заданных свойств строительных смесей как оптимальных по затратам.Библиографические ссылки
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