Chapter 1 Introduction Chapter 2 Literature review Chapter 3 Separated continuous linear programming: aty 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.. 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
【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 assutin, the strong at ols 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 oraio management and supply chain management. 3. International. This book is written in easy-to-read English, suitable for people with different English levels.