Використання системи комп'ютерної алгебри Мaple для розв'язання задач оптимізації
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Дата
2014
Автори
Бедратюк, Л.П.
Бедратюк, Г.І.
Bedratiuk, L.P.
Bedratiuk, A.I.
Назва журналу
Номер ISSN
Назва тому
Видавець
Хмельницький національний університет
Анотація
Дано опис основних команд пакетів Optimization та simplex системи комп’ютерної алгебри Maple.
Розглянуто способи розв’язання деяких типових задач лінійної та нелінійної оптимізації в Maple. Зокрема
розглянуті команди для наступних розділів: задачі лінійного програмування, задачі нелінійної оптимізації,
транспортна задачі, метод найменших квадратів. Розглянуті пакети пропонується використовувати при
вивченні дисциплін: дискретна математика, методи оптимізації, економічне моделювання.
Recently we have seen the active penetration of computer algebra systems in the educational process that allows us to create innovative learning technologies, including mathematics education in universities. One of the most popular computer algebra systems is the system Maple, company Waterloo Maple, Inc., which successfully combines symbolic manipulation, computational mathematics, powerful graphics and easy programming language. Because of its convenience and versatility Maple system became an indispensable tool of research for many scientists, engineers and students. Almost every section of modern mathematics in Maple developed some specialized packages. However, at present these technologies, despite their effectiveness and visibility, for various reasons, is not common in the learning process, which is not conducive to the integration of higher education in Ukraine in the World Higher Education. The purpose of this paper is to develop a common approach to the use of computer algebra system Maple to solve some common problems of linear and nonlinear optimization, and which can be used in the educational process. The paper describes the package commands Optimization and simplex and illustrated by examples of their use for solving typical problems arising in optimization theory. The article can be useful in the study of some sections of discrete mathematics, optimization methods and economic modeling.
Recently we have seen the active penetration of computer algebra systems in the educational process that allows us to create innovative learning technologies, including mathematics education in universities. One of the most popular computer algebra systems is the system Maple, company Waterloo Maple, Inc., which successfully combines symbolic manipulation, computational mathematics, powerful graphics and easy programming language. Because of its convenience and versatility Maple system became an indispensable tool of research for many scientists, engineers and students. Almost every section of modern mathematics in Maple developed some specialized packages. However, at present these technologies, despite their effectiveness and visibility, for various reasons, is not common in the learning process, which is not conducive to the integration of higher education in Ukraine in the World Higher Education. The purpose of this paper is to develop a common approach to the use of computer algebra system Maple to solve some common problems of linear and nonlinear optimization, and which can be used in the educational process. The paper describes the package commands Optimization and simplex and illustrated by examples of their use for solving typical problems arising in optimization theory. The article can be useful in the study of some sections of discrete mathematics, optimization methods and economic modeling.
Опис
Ключові слова
цільова функція,, Maple, мінімум, максимум, птимізація,транспортна задача, метод найменших квадратів, objective function, minimum, maximum, optimization, transportation problem, the method of least squares
Бібліографічний опис
Бедратюк, Л. П. Використання системи комп'ютерної алгебри Мaple для розв'язання задач оптимізації [Текст] / Л. П. Бедратюк, Г. І. Бедратюк // Вісник Хмельницького національного університету. Технічні науки. – 2014. – № 5. – С. 247-252.