Nonlinear and Mixed-Integer Optimization: Fundamentals and Applications (Topics in Chemical Engineering)

Contents......Page 8
1.1 Mathematical and Optimization Models......Page 16
1.2 Structure of Nonlinear and Mixed-Integer Optimization Models......Page 17
1.3 Illustrative Applications......Page 18
1.3.1 Binary Distillation Design......Page 19
1.3.2 Retrofit Design of Multiproduct Batch Plants......Page 21
1.3.3 Multicommodity Facility Location—Allocation......Page 24
1.4 Scope of the Book......Page 25
PART 1 FUNDAMENTALS OF CONVEX ANALYSIS AND NONLINEAR OPTIMIZATION......Page 28
2.1 Convex Sets......Page 30
2.2 Convex and Concave Functions......Page 37
2.3 Generalizations of Convex and Concave Functions......Page 50
3.1 Unconstrained Nonlinear Optimization......Page 58
3.2 Constrained Nonlinear Optimization......Page 62
4.1 Primal Problem......Page 88
4.2 Dual Problem......Page 90
4.3 Weak and Strong Duality......Page 95
4.4 Duality Gap and Continuity of Perturbation Function......Page 100
PART 2 FUNDAMENTALS OF MIXED-INTEGER OPTIMIZATION......Page 106
5.1 Motivation......Page 108
5.2 Formulation......Page 109
5.3 Branch and Bound Method......Page 111
6.1 Motivation......Page 122
6.2 Formulation......Page 123
6.3 Generalized Benders Decomposition, GBD......Page 127
6.4 Outer Approximations, OA......Page 157
6.5 Outer Approximation with Equality Relaxation, OA/ER......Page 168
6.6 Outer Approximation with Equality Relaxation and Augmented Penalty, OA/ER/AP......Page 181
6.7 Generalized Outer Approximation, GOA......Page 188
6.8 Comparison of GBD and OA-based Algorithms......Page 196
6.9 Generalized Cross Decomposition, GCD......Page 203
PART 3 APPLICATIONS IN PROCESS SYNTHESIS......Page 236
7.1 Introduction......Page 238
7.2 Definition......Page 242
7.3 Approaches in Process Synthesis......Page 245
7.4 Optimization Approach in Process Synthesis......Page 246
7.5 Application Areas......Page 270
8.1 Introduction......Page 272
8.2 Problem Statement......Page 274
8.3 Targets for HEN Synthesis......Page 275
8.4. Decomposition-based HEN Synthesis Approaches......Page 317
8.5 Simultaneous HEN Synthesis Approaches......Page 336
9.1 Introduction......Page 392
9.2 Synthesis of Heat-integrated Sharp Distillation Sequences......Page 394
9.3 Synthesis of Nonsharp Distillation Sequences......Page 406
10.1 Introduction......Page 420
10.2 Synthesis of Isothermal Reactor Networks......Page 424
10.3 Synthesis of Reactor-Separator-Recycle Systems......Page 435
Bibliography......Page 448
B......Page 466
C......Page 467
E......Page 468
G......Page 469
I......Page 470
M......Page 471
O......Page 472
R......Page 473
S......Page 474
Z......Page 475