{
  "id": "1403.6952",
  "version": "v1",
  "published": "2014-03-27T08:54:06.000Z",
  "updated": "2014-03-27T08:54:06.000Z",
  "title": "Optimal pricing control in distribution networks with time-varying supply and demand",
  "authors": [
    "Mathias Bürger",
    "Claudio De Persis",
    "Frank Allgöwer"
  ],
  "comment": "Submitted to 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS) in December 2013",
  "categories": [
    "math.OC",
    "cs.SY"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-27T08:54:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal pricing control",
      "distribution networks",
      "time-varying",
      "dynamic optimal distribution problem",
      "convex flow cost functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.6952B"
    }
  }
}