"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.
作者简介
中山大学教师。
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
