title: Resiliently evolving supply-demand networks.
abstract: The ability to design a transport network such that commodities are brought from suppliers to consumers in a steady, optimal, and stable way is of great importance for distribution systems nowadays. In this work, by using the circuit laws of Kirchhoff and Ohm, we provide the exact capacities of the edges that an optimal supply-demand network should have to operate stably under perturbations, i.e., without overloading. The perturbations we consider are the evolution of the connecting topology, the decentralization of hub sources or sinks, and the intermittence of supplier and consumer characteristics. We analyze these conditions and the impact of our results, both on the current United Kingdom power-grid structure and on numerically generated evolving archetypal network topologies.
authors.affiliation: Institute for Complex Systems and Mathematical Biology, University of Aberdeen, King's College, AB24 3UE Aberdeen, United Kingdom and Instituto de Física, Facultad de Ciencias, Universidad de la República, Iguá 4225, Montevideo 11200, Uruguay.
authors.forename: Nicolás
authors.initials: N
authors.lastname: Rubido
authors.affiliation: Institute for Complex Systems and Mathematical Biology, University of Aberdeen, King's College, AB24 3UE Aberdeen, United Kingdom.
authors.forename: Celso
authors.initials: C
authors.lastname: Grebogi
authors.affiliation: Institute for Complex Systems and Mathematical Biology, University of Aberdeen, King's College, AB24 3UE Aberdeen, United Kingdom.
authors.forename: Murilo S
authors.initials: MS
authors.lastname: Baptista
mesh_terms: D003198:Computer Simulation; D006301:Health Services Needs and Demand / Q000458:organization & administration*; D018803:Models, Economic; D017146:Models, Organizational; D008962:Models, Theoretical; D011210:Power Plants; D006113:United Kingdom