Synopses & Reviews
Optimization: Structure and Applications presents selected contributions from renowned researchers in the fields of operations research and industrial engineering. The text is divided into two parts: the first focuses on mathematical structure, and the second, on real-world applications. The book includes recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queueing 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.
Synopsis
The 21 self-contained chapters in this book, include recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queueing theory. This work 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.
Synopsis
This book examines modern trends and open problems in optimization. Coverage includes recent developments in several optimization-related topics such as decision theory, linear programming, turnpike theory, duality theory, convex analysis, and queuing theory.
Table of Contents
List of Figures.- List of Tables.- Preface.- Editors.- Part I 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 l1 optimal feedback control.- Asymptotical stability of optimal paths in nonconvex problems.- Pontryagin principle with a PDE - a unified approach.- A turnpike property for discrete-time control systems.- Mond-Weir duality.- Computing in the fundamental matrix of a M/G/1-type Markov chain.- A comparison of probabilistic and invariant subspace methods for the block M/G/1 Markov chain.- Interpolating maps, the modulus map and the Hadamard's inequality.- Part II Optimization: Applications.- Estimating the size of correcting codes using extremal graph problems.- New perspectives on optimal transforms of random vectors.- Optimum capacity assignment in general queueing networks,- Analysis of a simple control policy for stormwater management in two connected dams.- Optimal design of linear consecutive-k-out-of-n systems.- The (k+1)-th component of linear consecutive-k-out-of-n systems.- Optimizing properties of plastics 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.