Graphical Models and Belief Propagation-hierarchy for Optimal Physics-Constrained Network Flows

Dvijotham Krishnamurty; Marc Vuffray; Michael Chertkov; Pascal Van Hentenryck; Sidhant Misra

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Graphical Models and Belief Propagation-hierarchy for Optimal Physics-Constrained Network Flows

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arxiv 1702.01890 v1 pith:QUF67VKM submitted 2017-02-07 cs.SY cs.SYstat.AP

Michael Chertkov , Sidhant Misra , Marc Vuffray , Dvijotham Krishnamurty , Pascal Van Hentenryck This is my paper · ORCID

classification cs.SYstat.AP

keywords flowgraphicalmodelsnetworkphysicsscaleadditionalapplication

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In this manuscript we review new ideas and first results on application of the Graphical Models approach, originated from Statistical Physics, Information Theory, Computer Science and Machine Learning, to optimization problems of network flow type with additional constraints related to the physics of the flow. We illustrate the general concepts on a number of enabling examples from power system and natural gas transmission (continental scale) and distribution (district scale) systems.

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