Critical Infrastructure Protection In the Transportation Network

1. Critical Infrastructure Protection In the Transportation Network A Mathematical Model and Methodology for Determining and Analyzing The k-Critical Links of a Highway Network

2. Objective • The objective of this dissertation is to develop a methodology, using a SE approach, and apply the methodology to a mathematical model, using performance metrics such as travel time and flow, to simulate the impacts k-Links disconnects have on highway networks of major metropolitan cities for risk mitigation and resource allocation

3. The Systems Engineering Process • Problem Definition and Need Identification • Feasibility Study • Operational Requirements • Maintenance Support Concept • Technical Performance Measures • Functional Analysis and Allocation

4. The Systems Engineering Process • Trade-Off Analyses • System Specification

5. Problem Definition and Need Analysis • Defining the System – System of Systems

6. Problem Definition and Need Analysis Example of Model

7. Feasibility Study • What tools are available to perform analysis? • What methods have been developed in this area?

8. Operational Requirements Prime Definition Of Mission Operating Environment Performance Parameters Effectiveness Factors Requirements Operational Deployment Utilization Requirements Operational Life Cycle

9. Maintenance Concept • Levels of Maintenance • Repair Policies • Organizational Responsibilities • Maintenance Support Elements • Effectiveness Requirements • Environment

10. Technical Performance Parameters Efficiency Of Model Accuracy Of Model Simulation

11. Functional Analysis • Transportation CI SoS • INPUT • Disconnects • Hrs of Op. • PROCESS • Mathematical • model • OUTPUT • Performance Components Perf. of Defined Links Efficiently Finding K Links Movement of Goods Relationships • Flow • Distance • Links • Nodes • Efficiency • of model • Disconnects • Hours of • operation Attributes

12. Functional Analysis System Solution System Requirements Functional Analysis V System Objective Validate & Verify Simulation Processing Time City Boundary Simulation Processing Time Section of City Small Network Enumeration Actual Model

13. Information Flow Trade-Off Analysis Network L1 L2 L3 • Output • Performance: • Travel Time/Throughput Input Single Disconnect; 1/0 I35W I35E Hwy 75 I30 L4 I=1 I20 I20 L9 L5 I=1 I35W I35E I45 • Variables • Temporal • Time of Day: I =1, 2, 3 (peak, norm, other) • Links: l =(i,j), [(i+1), (j+1)],…, (i+n, j+n) L8 L7 L6

14. Trade-Off Analysis: Link (a,b) Time, Flow

15. Trade-Off Analysis: Link (a,b) D Avg. T = 2.5 Min/Veh

16. Trade-Off Analysis: All Links

17. Trade-Off Analysis

18. Trade-Off Analysis Example of Model: Performance for a General Metric OUTPUTS , …, Sum of Performance

19. Trade-Off Analysis Example of Model OUTPUTS Worst k Links = {2,11}, …, {1,12} affecting the Transportation CI the most Performance Best Links 0 is threshold

20. Validation and Verification System Specification • SE Approach • Integrations Process • Verify and Validate Requirements • Model • Small Network • Enumeration • Efficiency of Model V

21. Research Significance • Contribution: This dissertation provides officials a decision-making methodology and tool for resource allocation and risk mitigation • Metrics that measure the performance of the network given disconnects occurring • Ranking of k Links affecting the network the most

22. Research Significance • Decision Making Methodology and Tool

23. Conclusion • Transportation CI is important • To individuals’ way of life • To companies’ way of doing business • Proposed a Methodology using a Mathematical Model to Determine Impact of k Links Disconnects have on the Defined Links of a Network for risk mitigation and resource allocation

24. Conclusion • Research Significance • Society: A Methodology and Tool for Officials to use in the Decision Making Process • Engineering: • Systems Engineering Approach for Solving Complex Systems • Efficient and Accurate Network Modeling for Large and Complex Systems