Operations Research, Engineering, and Cyber Security

1. Front Matter

   Pages i-xi

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2. Complementarity and Variational Inequalities in Electronics

   • Khalid Addi, Daniel Goeleven

   Pages 1-43

3. Electromagnetic Scattering by a Chiral Impedance Screen

   • C. E Athanasiadis, V. Sevroglou, K. I. Skourogiannis

   Pages 45-56

4. Optimal Batch Production with Rework Process for Products with Time-Varying Demand Over Finite Planning Horizon

   • Lakdere Benkherouf, Konstantina Skouri, Ioannis Konstantaras

   Pages 57-68

5. On Co-polynomials on the Real Line and the Unit Circle

   • Kenier Castillo, Francisco Marcellán, Jorge Rivero

   Pages 69-94

6. Electromagnetic Compatibility (EMC) in Challenging Environments

   • C. Christopoulos

   Pages 95-115

7. Cybersecurity Investments with Nonlinear Budget Constraints: Analysis of the Marginal Expected Utilities

   • Patrizia Daniele, Antonino Maugeri, Anna Nagurney

   Pages 117-134

8. Ellipsoid Targeting with Overlap

   • Nicholas J. Daras

   Pages 135-154

9. A Review of Several Optimization Problems Related to Security in Networked System

   • Bhaskar DasGupta, Venkatkumar Srinivasan

   Pages 155-166

10. On Some Information Geometric Approaches to Cyber Security

    • C. T. J. Dodson

    Pages 167-197

11. A Survey of Recent Inequalities for Relative Operator Entropy

    • Silvestru Sever Dragomir

    Pages 199-229

12. On the Use of Elliptic Regularity Theory for the Numerical Solution of Variational Problems

    • Axel Dreves, Joachim Gwinner, Nina Ovcharova

    Pages 231-257

13. Strong and Weak Convexity of Closed Sets in a Hilbert Space

    • Vladimir V. Goncharov, Grigorii E. Ivanov

    Pages 259-297

14. Non-equilibrium Solutions of Dynamic Networks: A Hybrid System Approach

    • Scott Greenhalgh, Monica-Gabriela Cojocaru

    Pages 299-315

15. Measuring Ballistic Dispersion for the Purpose of Ammunition Quality Assurance

    • W. J. Hurley, Jack Brimberg, Andrey Pavlov

    Pages 317-330

16. Region-Based Watermarking for Images

    • Konstantinos A. Raftopoulos, Nikolaos Papadakis, Klimis S. Ntalianis, Paraskevi Tzouveli, Georgios Goudelis, Stefanos D. Kollias

    Pages 331-343

17. Optimal Inventory Policies for Finite Horizon Inventory Models with Time Varying Demand: A Unified Presentation

    • Konstantina Skouri, Lakdere Benkherouf, Ioannis Konstantaras

    Pages 345-358

18. Metrical Pareto Efficiency and Monotone EVP

    • Mihai Turinici

    Pages 359-401

19. New Two-Slope Parameterized Achievement Scalarizing Functions for Nonlinear Multiobjective Optimization

    • Outi Wilppu, Marko M. Mäkelä, Yury Nikulin

    Pages 403-422

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. 

Graduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.

• Air Defense Systems and Detection Theory
• Cyber-warfare
• Data to Decisions
• Decision Models
• Engineered Resilient Systems
• Mathematical Modeling and Simulation
• Military Operations Research
• Prediction Theory
• algorithmic complexity

• Department of Mathematics, Hellenic Military Academy, Vari Attikis, Greece

  Nicholas J. Daras

• Department of Mathematics, National Technical University of Athens, Athens, Greece

  Themistocles M. Rassias

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