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岭南学术文库(第2辑):可分离的连续线性规划及其推广模型

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岭南学术文库(第2辑):可分离的连续线性规划及其推广模型

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定 价:¥38.00

作 者:王小青 著 舒元,陈平

出 版 社:经济管理出版社

出版时间:2012-04-01

I S B N:9787509613245

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内容简介

  In this book 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. This book has the following features: 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.

作者简介

  王小青,中山大学教师,曾在山东大学获得理学学士、香港中文大学获得哲学硕士和博士学位,她的教学及科研主要集中在优化模型的构建及算法上。她及合作者曾在国际优化领域的高级别杂志士发表过论文。曾参与了国际杂志,包括《优化》、《亚太运筹学》等的审稿工作。

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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