可分离的连续线性规划及其推广模型

出版时间：2012-4  出版社：经济管理出版社  作者：王小青  页数：123  字数：150000  

内容概要

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: l. 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。

书籍目录

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