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arXiv · 1403.6952

Optimal pricing control in distribution networks with time-varying supply and demand

Mathias Bürger·Claudio De Persis·Frank Allgöwer
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Abstract

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost functions of Legendre-type, is formalized and solved. The time-varying optimal flow is characterized in terms of the time-varying dual variables of a corresponding network optimization problem. A dynamic feedback controller is proposed that regulates the flows asymptotically to the optimal flows and achieves in addition a balancing of all storage levels.

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Mathias Bürger, Claudio De Persis, Frank Allgöwer. 2014-03-27. Optimal pricing control in distribution networks with time-varying supply and demand. https://arxiv.org/abs/1403.6952

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