Approximation schemes for age of information minimization in UAV grid patrols

IF 4.4 3区 计算机科学 Q1 COMPUTER SCIENCE, INFORMATION SYSTEMS
Weiqi Wang , Jin Xu
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Abstract

Motivated by the critical need for unmanned aerial vehicles (UAVs) to patrol grid systems in hazardous and dynamically changing environments, this study addresses a routing problem aimed at minimizing the time-average Age of Information (AoI) for edges in general graphs. We establish a lower bound for all feasible patrol policies and demonstrate that this bound is tight when the graph contains an Eulerian cycle. For graphs without Eulerian cycles, it becomes challenging to identify the optimal patrol strategy due to the extensive range of feasible options. Our analysis shows that restricting the strategy to periodic sequences still results in an exponentially large number of possible strategies. To address this complexity, we introduce two polynomial-time approximation schemes, each involving a two-step process: constructing multigraphs first and then embedding Eulerian cycles within these multigraphs. We prove that both schemes achieve an approximation ratio of 2. Further, both analytical and numerical results suggest that evenly and sparsely distributing edge visits within a periodic route significantly reduces the average AoI compared to strategies that merely minimize the route travel distance. Building on this insight, we propose a heuristic method that not only maintains the approximation ratio of 2 but also ensures robust performance across varying random graphs.
无人机网格巡逻中信息年龄最小化的近似方案
无人驾驶飞行器(UAV)亟需在危险和动态变化的环境中巡逻网格系统,受此激励,本研究探讨了一个路由问题,旨在最大限度地降低一般图中边的平均时间信息年龄(AoI)。我们为所有可行的巡逻策略建立了一个下限,并证明当图中包含欧拉循环时,这个下限是紧密的。对于没有欧拉循环的图,由于可行方案的范围很广,确定最佳巡逻策略变得很有挑战性。我们的分析表明,将策略限制在周期序列上仍会导致可能的策略数量呈指数级增长。为了解决这种复杂性,我们引入了两种多项式时间近似方案,每种方案都涉及两个步骤:首先构建多图,然后在这些多图中嵌入欧拉循环。此外,分析和数值结果表明,与仅最小化路径旅行距离的策略相比,在周期性路径中均匀、稀疏地分布边缘访问可显著降低平均 AoI。在此基础上,我们提出了一种启发式方法,它不仅能保持 2 的近似率,还能确保在不同随机图中的稳健性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Ad Hoc Networks
Ad Hoc Networks 工程技术-电信学
CiteScore
10.20
自引率
4.20%
发文量
131
审稿时长
4.8 months
期刊介绍: The Ad Hoc Networks is an international and archival journal providing a publication vehicle for complete coverage of all topics of interest to those involved in ad hoc and sensor networking areas. The Ad Hoc Networks considers original, high quality and unpublished contributions addressing all aspects of ad hoc and sensor networks. Specific areas of interest include, but are not limited to: Mobile and Wireless Ad Hoc Networks Sensor Networks Wireless Local and Personal Area Networks Home Networks Ad Hoc Networks of Autonomous Intelligent Systems Novel Architectures for Ad Hoc and Sensor Networks Self-organizing Network Architectures and Protocols Transport Layer Protocols Routing protocols (unicast, multicast, geocast, etc.) Media Access Control Techniques Error Control Schemes Power-Aware, Low-Power and Energy-Efficient Designs Synchronization and Scheduling Issues Mobility Management Mobility-Tolerant Communication Protocols Location Tracking and Location-based Services Resource and Information Management Security and Fault-Tolerance Issues Hardware and Software Platforms, Systems, and Testbeds Experimental and Prototype Results Quality-of-Service Issues Cross-Layer Interactions Scalability Issues Performance Analysis and Simulation of Protocols.
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