This chapter provides a comprehensive exploration of Markov Chains, starting with foundational definitions and axioms, and progressing through key theorems and properties. It covers topics such as transition probabilities, stationary distributions, and long-term behavior of Markov Chains. Through practical examples in transportation research, traffic engineering, and urban transportation planning, the chapter demonstrates the real-world applications of Markov Chains.

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Introduction to Markov Chains

  • Kardi Teknomo

摘要

This chapter provides a comprehensive exploration of Markov Chains, starting with foundational definitions and axioms, and progressing through key theorems and properties. It covers topics such as transition probabilities, stationary distributions, and long-term behavior of Markov Chains. Through practical examples in transportation research, traffic engineering, and urban transportation planning, the chapter demonstrates the real-world applications of Markov Chains.