Optimization Structure and Applications

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.

Optimization: Structure.- On the nondifferentiability of cone-monotone functions in Banach spaces.- Duality and a Farkas lemma for integer programs.- Some nonlinear Lagrange and penalty functions for problems with a single constraint.- Convergence of truncates in optimal feedback control 61.- Asymptotical stability of optimal paths in nonconvex problems.- Pontryagin principle with a PDE: a unified approach.- A turnpike property for discrete#x2013;time control systems in metric spaces.- Mond#x2013;Weir duality.- Computing the fundamental matrix of an M/G/1#x2013;type Markov chain.- A comparison of probabilistic and invariant subspace methods for the block //1 Markov chain.- Interpolating maps, the modulus map and Hadamardard#x2019;s inequality.- Optimization: Applications.- Estimating the size of correcting codes using extremal graph problems.- New perspectives on optimal transforms of random vectors.- Optimal capacity assignment in general queueing networks.- Analysis of a simple control policy for stormwater management in two connected dams.- Optimal design of linear consecutive#x2013;#x2013;out#x2013;of#x2013; systems.- The (+1)-th component of linear consecutive#x2013;#x2013;out#x2013;of#x2013; systems.- Optimizing properties of polypropylene and elastomer compounds containing wood flour.- Constrained spanning, Steiner trees and the triangle inequality.- Parallel line search.- Alternative Mathematical Programming Models: A Case for a Coal Blending Decision Process.