ABSTRACT
Optimization Problems in Laser and Photonic Applications .......................236 Chemical Laser Modeling .............................................................................236 Remote Laser Welding Path Optimization .................................................236 Maximum A Posteriori Estimate .................................................................. 237
NP Method ........................................................................................................... 237 NP for Deterministic Optimization .................................................................. 239
Partitioning ...................................................................................................... 241 Sampling .......................................................................................................... 241 Backtracking and Initialization .................................................................... 242 Global Convergence Analysis....................................................................... 242
NP for Stochastic Optimization ........................................................................ 245 Enhancements and Advanced Developments ................................................ 248
Intelligent Partitioning .................................................................................. 248 Sampling .......................................................................................................... 249
Promising Index ..................................................................................................250 Hybrid NP Algorithms .................................................................................. 252
Greedy Heuristics in the NP Framework ............................................... 252 Random Search in the NP Framework ...................................................253 Domain Knowledge in the NP Framework ...........................................254
Application of NP Method in the Chemical Laser Modeling Problem .......255 Problem Description ......................................................................................255 Partitioning ......................................................................................................256 Generating Feasible Solutions ...................................................................... 257 Dening the Promising Index ...................................................................... 257
Conclusions .......................................................................................................... 261 References ............................................................................................................. 261
