| 書目名稱 | Mathematical Programming and Control Theory | | 編輯 | B. D. Craven | | 視頻video | http://file.papertrans.cn/627/626550/626550.mp4 | | 叢書名稱 | Chapman and Hall Mathematics Series | | 圖書封面 |  | | 描述 | In a mathematical programming problem, an optimum (maxi- mum or minimum) of a function is sought, subject to con- straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func- tions, and so need methods more general than linear pro- gramming. This book presents a unified theory of nonlinear mathe- matical programming. The same methods and concepts apply equally to ‘nonlinear programming‘ problems with a finite number of variables, and to ‘optimal control‘ problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz- | | 出版日期 | Book 1978 | | 關(guān)鍵詞 | Linear Programming; algorithms; mathematical programming; network; optimal control; optimization; project | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-009-5796-1 | | isbn_softcover | 978-0-412-15500-0 | | isbn_ebook | 978-94-009-5796-1 | | copyright | B. D. Craven 1978 |
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