Wireless Network Scheduling with Discrete Propagation Delays: Theorems and Algorithms
Shenghao Yang, Jun Ma, Yanxiao Liu

TL;DR
This paper develops a graphical approach to link scheduling in networks with discrete delays, introducing algorithms that efficiently characterize the rate region by exploiting the dominance property of specialized scheduling graphs.
Contribution
It proposes a novel graphical method and algorithms for rate region characterization in networks with discrete delays, reducing computational complexity by leveraging the dominance property.
Findings
The scheduling graph's rate region is characterized by the convex hull of cycle rate vectors.
The dominance property enables reduction of cycle enumeration complexity.
Algorithms based on the dominance property outperform generic graph algorithms in efficiency.
Abstract
This paper focuses on the link scheduling problem in networks where signal delays between nodes are multiples of a time interval. To model such networks, a directed hypergraph is employed, along with an integer matrix that specifies the delays. The link scheduling problem is closely connected to the independent sets of the periodic hypergraph induced by the network model. However, due to the infinite number of vertices, it is impractical to enumerate the independent sets of the periodic hypergraph using generic graph algorithms. To tackle this challenge, a graphical approach is proposed in this paper. The link scheduling rate region is characterized using a finite directed graph called a scheduling graph, which is derived from the network model. A collision-free schedule of the network corresponds to a path in the scheduling graph, and the rate region is determined by the convex hull of…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMobile Ad Hoc Networks · Advanced Wireless Network Optimization · Interconnection Networks and Systems
