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Critical Infrastructure Protection In the Transportation Network. A Mathematical Model and Methodology for Determining and Analyzing The k -Critical Links of a Highway Network. Objective.
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Critical Infrastructure Protection In the Transportation Network A Mathematical Model and Methodology for Determining and Analyzing The k-Critical Links of a Highway Network
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
The Systems Engineering Process • Problem Definition and Need Identification • Feasibility Study • Operational Requirements • Maintenance Support Concept • Technical Performance Measures • Functional Analysis and Allocation
The Systems Engineering Process • Trade-Off Analyses • System Specification
Problem Definition and Need Analysis • Defining the System – System of Systems
Problem Definition and Need Analysis Example of Model
Feasibility Study • What tools are available to perform analysis? • What methods have been developed in this area?
Operational Requirements Prime Definition Of Mission Operating Environment Performance Parameters Effectiveness Factors Requirements Operational Deployment Utilization Requirements Operational Life Cycle
Maintenance Concept • Levels of Maintenance • Repair Policies • Organizational Responsibilities • Maintenance Support Elements • Effectiveness Requirements • Environment
Technical Performance Parameters Efficiency Of Model Accuracy Of Model Simulation
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
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
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
Trade-Off Analysis: Link (a,b) Time, Flow
Trade-Off Analysis: Link (a,b) D Avg. T = 2.5 Min/Veh
Trade-Off Analysis Example of Model: Performance for a General Metric OUTPUTS , …, Sum of Performance
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
Validation and Verification System Specification • SE Approach • Integrations Process • Verify and Validate Requirements • Model • Small Network • Enumeration • Efficiency of Model V
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
Research Significance • Decision Making Methodology and Tool
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
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