Operations Research, Engineering, and Cyber Security: Trends in Applied Mathematics and Technology

Description

Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space.  Front Matter....Pages i-xi Complementarity and Variational Inequalities in Electronics....Pages 1-43 Electromagnetic Scattering by a Chiral Impedance Screen....Pages 45-56 Optimal Batch Production with Rework Process for Products with Time-Varying Demand Over Finite Planning Horizon....Pages 57-68 On Co-polynomials on the Real Line and the Unit Circle....Pages 69-94 Electromagnetic Compatibility (EMC) in Challenging Environments....Pages 95-115 Cybersecurity Investments with Nonlinear Budget Constraints: Analysis of the Marginal Expected Utilities....Pages 117-134 Ellipsoid Targeting with Overlap....Pages 135-154 A Review of Several Optimization Problems Related to Security in Networked System....Pages 155-166 On Some Information Geometric Approaches to Cyber Security....Pages 167-197 A Survey of Recent Inequalities for Relative Operator Entropy....Pages 199-229 On the Use of Elliptic Regularity Theory for the Numerical Solution of Variational Problems....Pages 231-257 Strong and Weak Convexity of Closed Sets in a Hilbert Space....Pages 259-297 Non-equilibrium Solutions of Dynamic Networks: A Hybrid System Approach....Pages 299-315 Measuring Ballistic Dispersion for the Purpose of Ammunition Quality Assurance....Pages 317-330 Region-Based Watermarking for Images....Pages 331-343 Optimal Inventory Policies for Finite Horizon Inventory Models with Time Varying Demand: A Unified Presentation....Pages 345-358 Metrical Pareto Efficiency and Monotone EVP....Pages 359-401 New Two-Slope Parameterized Achievement Scalarizing Functions for Nonlinear Multiobjective Optimization....Pages 403-422