书目名称 | Linear Optimization and Approximation |
副标题 | An Introduction to t |
编辑 | Klaus Glashoff,Sven-Åke Gustafson |
视频video | |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | A linear optimization problem is the task of minimizing a linear real-valued function of finitely many variables subject to linear con straints; in general there may be infinitely many constraints. This book is devoted to such problems. Their mathematical properties are investi gated and algorithms for their computational solution are presented. Applications are discussed in detail. Linear optimization problems are encountered in many areas of appli cations. They have therefore been subject to mathematical analysis for a long time. We mention here only two classical topics from this area: the so-called uniform approximation of functions which was used as a mathematical tool by Chebyshev in 1853 when he set out to design a crane, and the theory of systems of linear inequalities which has already been studied by Fourier in 1823. We will not treat the historical development of the theory of linear optimization in detail. However, we point out that the decisive break through occurred in the middle of this century. It was urged on by the need to solve complicated decision problems where the optimal deployment of military and civilian resources had to be determined. The availability |
出版日期 | Book 1983 |
关键词 | Approximation; Dualität (Math; ); Lineare Optimierung; algorithms; calculus; linear optimization; optimizat |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-1142-6 |
isbn_softcover | 978-0-387-90857-1 |
isbn_ebook | 978-1-4612-1142-6Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Science+Business Media New York 1983 |