Algorithmic Handling of Time Expanded Networks

Time Expanded Networks, built by considering the nodes of a base network over some time space, are powerful tools for the formulation of problems involving synchronization mechanisms. Those mechanisms may for instance be related to the interaction between resource production and consumption or between routing and scheduling. Still, in most cases, deriving algorithms from those formulations is difficult, due to both the size of resulting network structure and the fact that reducing this size through rounding techniques tends to induce uncontrolled essor propagation. We address here this algorithmic issue, while proposing a generic decomposition scheme which works by first skipping the temporal dimension of the problem and next expanding resulitng projected solution into a full solution of the problem set on the time expanded network.

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1. Present work was funded by French ANR: National Agency for Research, Labex IMOBS3, and PGMO Program.

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2. Thematic Tracks Regular Papers

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3. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).