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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.

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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书籍介绍

"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.