《可分离的连续线性规划及其推广模型》(作者王小青)主要研究可分离的连续线性规划及其推广模型的理论和算法,书中提出了一种求解可分离的连续线性规划的课满足任意精度的近似最优解的多项式时间的逼近算法。
本书用英文写成,但所有英文较为通俗易懂,因此适合不同英语水平的人。
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书名 | 可分离的连续线性规划及其推广模型/岭南学术文库 |
分类 | 科学技术-自然科学-数学 |
作者 | 王小青 |
出版社 | 经济管理出版社 |
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简介 | 编辑推荐 《可分离的连续线性规划及其推广模型》(作者王小青)主要研究可分离的连续线性规划及其推广模型的理论和算法,书中提出了一种求解可分离的连续线性规划的课满足任意精度的近似最优解的多项式时间的逼近算法。 本书用英文写成,但所有英文较为通俗易懂,因此适合不同英语水平的人。 内容推荐 "Separated Continuous Linear Programming and Its Extensions"(Author: Wang Xiaoqing)we present the theory and algorithms for separated continuous linear programming (SCLP) and its extensions. Under some mild assumptions, the strong duality holds between SCLP and its dual. Based on these results, a kind of polynomial-time approximation algorithm is proposed which can solve SCLP to any prescribed precision requirement. This is also true for the SCLP extensions. "Separated Continuous Linear Programming and Its Extensions" has the following features: 1. Advanced. In the field of SCLP the results presented in this book are the latest and best so far. 2. Applicable. SCLP can be a useful model in economics and management science, including operation management and supply chain management. 3. International. This book is written in easy-to-read English, suitable for people with different English levels. 目录 Chapter 1 Introduction Chapter 2 Literature review Chapter 3 Separated continuous linear programming: duality theory and solution method 3. 1 Linear programming and SCLP 3.2 An economic input/output problem 3.3 Duality theory and algorithm 3.4 Numerical result 3. 5 Discussion Chapter 4 Generalized separated continuous linear programming Chapter 5 Separated continuous conic programming 5. 1 Conic programming and SCCP 5.2 Applications 5.2. 1 Robust SCLP 5.2.2 Sign-constrained linear quadratic control 5.2.3 A fluid network problem 5.3 Duality theory and algorithm 5.4 Numerical results Chapter 6 Generalized separated continuous conic programming 6. 1 Duality theory and solution method 6. 2 Numerical example Chapter 7 Conclusion and future research directions 7, 1 Conclusion 7.2 Future research directions Bibliography |
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