Poster: Sparsity-enhanced Lagrangian Relaxation (SeLR) for Computation Offloading at the Edge

Published: 27 Oct 2025, Last Modified: 10 May 2026CrossrefEveryoneRevisionsCC BY-SA 4.0
Abstract: This paper proposes an efficient approach to joint task offloading and routing for real-time sensor data analytics at the network edge, enabling applications such as video surveillance and environmental monitoring. This problem can be formulated as a mixed-integer program (MIP) with the objective of utility maximization subject to the constraints of network topology, limited link capacity, and diverse task profiles. To efficiently approximate this NP-hard problem, we propose SeLR, a combination of primal-dual optimization and reweighted L1-norm regularization, which iteratively solves the convex relaxation while penalizing constraint violations and encouraging sparsity. Compared to greedy heuristics, SeLR provides a better accuracy—latency trade-off and better scalability to larger problems. Moreover, it reduces scheduling runtime by up to 9.17× over optimal solvers in networks with 300 nodes and 100 tasks.
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