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This chapter provides an introduction to functional analysis within the context of Ideal Flow Networks (IFN). We define the hierarchical dependencies of key network matrices and parameters. The discussion focuses on the essential mathematical properties of functional forms, including proportionality, asymptotic behavior, continuity, and differentiability. We demonstrate how these properties enable the rigorous analysis of ideal traffic assignment that functionally depends on network topological structure. This approach provides a powerful toolkit for understanding complex network systems.

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Functional Analysis in Network Models

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  • 发表日期：

    2026年

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  • Kardi Teknomo

摘要

This chapter provides an introduction to functional analysis within the context of Ideal Flow Networks (IFN). We define the hierarchical dependencies of key network matrices and parameters. The discussion focuses on the essential mathematical properties of functional forms, including proportionality, asymptotic behavior, continuity, and differentiability. We demonstrate how these properties enable the rigorous analysis of ideal traffic assignment that functionally depends on network topological structure. This approach provides a powerful toolkit for understanding complex network systems.