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Networks 1: Shortest path problem - MIT OpenCourseWare

1 April 11, 2013 Introduction to Networks 2 Quotes for today "A journey of a thousand miles begins with a single step." -- Confucius You cannot travel the path until you have become the path itself -- Buddha 3 network Models Optimization models Can be solved much faster than other LPs Applications to industrial logistics, supply chain management, and a variety of systems Today s lecture: introductory material, Eulerian tours, the Shortest Path problem Application of network Models: 4 Notation and Terminology Note: network terminology is not (and never will be) standardized.

Networks are Everywhere Physical Networks – Road Networks – Railway Networks – Airline traffic NetworksElectrical networks, e.g., the power grid – Communication networks Social networks – Organizational charts – friendship networks – interaction networks (e.g., cell calls)

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