The transhipment problem: Total unimodularity

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Explores the significance of vertices in optimization and outlines a method to identify them using linear algebra.

Covers the transhipment problem, the incidence matrix, and total unimodularity.

Explains linear constraints and the concept of a polyhedron in optimization problems.

Explores the Ford Fulkerson algorithm, Max-Flow Min-Cut theorem, Incidence matrix, and network optimization complexity.

Covers calibrating models using measurements, virtual sensors, data reconciliation, and parameter identification in process models.

Explores process unit modeling, balance equations, degrees of freedom, and flowsheet solving.

Covers the linear optimization problem of the transhipment model.

Explores graphs and matrices, including adjacency, degree, and Laplace matrices, Matrix-tree theorem, and spanning trees.

Explores the Laplacian matrix and consensus in networked control systems.

Explores the design process of pavilion structures, emphasizing the creation of a topological polyhedron as the foundation document.