GDPlan: Generative Network Planning via Graph Diffusion Model

Network planning is crucial to facilitate network service under limited network operation costs. However, adapting the network topology (i.e., connections and capacities for physical and IP links) to time-varying and stochastic network states is challenging due to high computational overhead of problem solving. Existing deep learning based methods suffer from prohibitive computational complexity due to simultaneously solving IP link capacities and allocated traffics or iteratively exploring search space with excessive samples via heuristic rules. In this paper, we propose GDPlan, the first generative framework that leverages conditional graph diffusion model to address this challenge. To achieve high solving efficiency, GDPlan decouples network planning into two separate stages, i.e., generation of diverse high-quality solutions to IP link capacity and refinement of the solutions under feasibility constraints. Specifically, we develop generation-oriented graph signal modeling that reformulates solving IP link capacities as generation of graph topology conditioned on the graph signals related to traffic demands, physical links and network costs. Consequently, energy-guided controllable graph generation is achieved to capture significant structural patterns of graph topology with score-based graph diffusion model and produce diverse solutions with a guarantee of feasibility under specific objectives or constraints. GDPlan successfully achieves graph generation based solution to network planning with an order of magnitude higher solving speed than the commercial solver Gurobi. Experimental results demonstrate that, compared with Gurobi, the proposed GDPlan obtains lowest 3.7% average gap with only about 7.5% average running time.