Optimization: Structure and ApplicationsCharles E.M. Pearce, Emma Hunt Optimization: Structure and Applications presents selected contributions from renowned researchers in the fields of operations research and industrial engineering. The book is divided into two parts; the first focuses on mathematical structure, and the second, on real-world applications. The work includes recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queuing theory. The applications presented include, but are not limited to, data imaging, network capacity allocation, water system management, and materials design. The 21 self-contained chapters in this volume are devoted to the examination of modern trends and open problems in the field of optimization. This book will be a valuable tool not only to specialists interested in the technical detail and various applications presented, but also to researchers interested in building upon the book’s theoretical results. |
Contents
| 3 | |
| 15 | |
| 22 | |
5 | 51 |
2 | 58 |
Asymptotical stability of optimal paths in nonconvex | 95 |
a unified approach | 135 |
A turnpike property for discretetime control systems | 142 |
New perspectives on optimal transforms of random | 245 |
Optimal capacity assignment in general queueing | 260 |
Analysis of a simple control policy for stormwater | 273 |
to | 286 |
8 | 295 |
References | 306 |
The k+1th component of linear consecutivekoutofn | 311 |
3 | 314 |
MondWeir Duality | 157 |
Computing the fundamental matrix of an MG1type | 167 |
A comparison of probabilistic and invariant subspace | 189 |
Interpolating maps the modulus map and Hadamards | 206 |
Estimating the size of correcting codes using extremal | 225 |
References | 341 |
Parallel line search | 369 |
Duality for the discrete problems Id and | 382 |