可分離的連續(xù)線性規(guī)劃及其推廣模型

內(nèi)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.

作者簡介

　　王小青，中山大學(xué)教師，曾在山東大學(xué)獲得理學(xué)學(xué)士、香港中文大學(xué)獲得哲學(xué)碩士和博士學(xué)位，她的教學(xué)及科研主要集中在優(yōu)化模型的構(gòu)建及算法上。她及合作者曾在國際優(yōu)化領(lǐng)域的高級別雜志士發(fā)表過論文。曾參與了國際雜志，包括《優(yōu)化》、《亞太運籌學(xué)》等的審稿工作。

書籍目錄

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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