Exposure-Length Trade-off Optimization for Obstacle-Aware Intrusion Paths in Heterogeneous Wireless Sensor Networks
Authors: Nguyen Thi My Binh, Ho Viet Duc Luong, Nguyen Tuan Nghia, Nguyen Quang Huy, Dang Trong Hop
Organizations: Hanoi University of Industry, 298 Cau Dien Street, Hanoi, 100000, Vietnam · Hanoi University of Science and Technology, 1 Dai Co Viet, Hanoi, 100000, Vietnam
Barrier coverage is a key paradigm for intrusion detection and surveillance in IoT-enabled heterogeneous wireless sensor networks, where monitoring quality depends not only on the existence of sensing barriers but also on the detectability of feasible crossing paths. In this paper, we study the obstacle-aware maximal exposure path planning problem in heterogeneous sensor fields under truncated omni-directional sensing and line-of-sight occlusion. Unlike conventional maximal exposure formulations that focus only on exposure maximization, the considered problem seeks side-to-side feasible paths that simultaneously maximize accumulated sensing exposure and minimize path length in obstacle-constrained environments. To address this bi-objective problem, we develop OG-MOEA/D, a problem-specific MOEAD method that combines a fixed-grid path representation with obstacle-aware feasibility checking and adaptive repair. The standard decomposition, neighborhood update, SBX, and polynomial mutation mechanisms are inherited from MOEA/D rather than claimed as new. Extensive simulations on networks with varying sensor densities and obstacle layouts show that OG-MOEA/D consistently improves hypervolume over generations and produces well-distributed Pareto fronts. Direct obstacle-constrained comparisons with MOEA/D and NSGA-II over 20 independent runs show higher HV and lower IGD for OG-MOEA/D in all four tested sensor-network sizes. The results should be interpreted as controlled simulation evidence for surveillance-strength evaluation in synthetic two-dimensional heterogeneous WSN scenarios, rather than as a model of realistic evasive intrusion behavior or a complete real-world deployment.
Figures & tables
Figure 1: Illustration of truncated sensing with obstacle-induced occlusion. The blue disk represents the nominal sensing region of sensor s . Point T1 is within range and visible to the sensor, while point T2 is within the nominal radius but lies behind the obstacle and therefore receives zero sensing contribution according to ( 6 ).
Figure 2: Hypervolume evolution over generations for different sensor densities.
Figure 3: Pareto Front evolution over generations for different sensor densities.
Figure 4: Representative visual evolution of the discovered paths in the early and middle stages of optimization across different sensor densities.
Figure 5: Representative visual evolution of the discovered paths in the late stage of optimization across different sensor densities.
Topology
Algorithm
Best Exposure
Runtime (s)
50 Sensors
MIGA
70.69
1016.2
OG-MOEA/D
73.97
663.0
100 Sensors
MIGA
116.35
2694.2
OG-MOEA/D
116.12
2283.0
150 Sensors
MIGA
171.83
3798.8
OG-MOEA/D
171.91
2758.9
Table 1: Comparison of solution quality (exposure) and computational cost (runtime) between OG-MOEA/D and MIGA.
Topology
Metric
OG-MOEA/D
MOEA/D
NSGA-II
50 Sensors
HV
85090.4 ± 7898.8
53663.5 ± 5991.3 (+)
72818.9 ± 2117.8 (+)
IGD
0.141 ± 0.037
0.339 ± 0.018 (+)
0.314 ± 0.018 (+)
100 Sensors
HV
139134.7 ± 13622.6
91111.4 ± 7838.6 (+)
107386.0 ± 5350.7 (+)
IGD
0.102 ± 0.032
0.278 ± 0.031 (+)
0.259 ± 0.018 (+)
150 Sensors
HV
187614.6 ± 11643.7
134939.9 ± 7871.5 (+)
157929.9 ± 3830.8 (+)
IGD
0.085 ± 0.035
0.233 ± 0.019 (+)
0.191 ± 0.012 (+)
Table 2: Multiobjective performance across obstacle-constrained sensor-network topologies over 20 independent runs.
Figure 6: Hypervolume convergence of OG-MOEA/D, MOEA/D, and NSGA-II over 100 generations across four obstacle-constrained sensor-network configurations.
Figure 7: Parameter sensitivity of OG-MOEA/D on HV and IGD using Friedman mean ranks over five independent seeds.
Figure 8: Grid-resolution sensitivity of OG-MOEA/D on the 50-sensor topology. Error bars show one standard deviation over five independent runs. The tested grid-point counts n={201,81,41,21,11,6} correspond to Δx={2,5,10,20,40,80} for W=400 .
UAVs have emerged as highly flexible platforms for data sensing in Wireless Sensor Networks (WSNs). Path planning for UAVs in such tasks plays a key role to assure remote sensing effectiveness and friendly energy consumption. However, existing approaches show two key limitations: i) they are primarily hand-crafted with certain design biases that harm adaptation on unseen tasks. ii) they predominantly assume idealized spatial complexities of actual environments through simplified simulation, causing them to underperform during real-world deployment. In this paper, we propose a novel learning-assisted planning framework, termed Landscape-Aware Meta Differential Evolution (LAMDE), to tackle the mentioned limitations. The major contributions come from the following aspects. We first re-formulate such UAV path planning problem to embrace challenging constraints. To efficiently navigate this highly constrained space, we propose a bi-level learning to optimize approach, where the meta-level is a trainable algorithm configuration policy that meta-learns an adaptable planning strategy for low-level planning algorithm. To address the potential training data scarcity and distribution shift in real-world environments, we introduce a landscape-aware automatic augmentation scheme that enriches training data. At the low-level, a Differential Evolution algorithm is deployed for solving the path planning tasks. To enhance the solving flexibility, we further design a variable-length encoding strategy that dynamically prunes redundant hover points and optimizes continuous flight parameters concurrently within a unified search space. Based on all proposed designs, we meta-train LAMDE and compare it with representative baselines. Comprehensive experiments demonstrate that LAMDE achieves state-of-the-art performance on the tested complex UAV path planning tasks in WSN data collection scenarios.
Sijie Ma, Zeyuan Ma, Weijia Cao +4
South China University of Technology · South China Normal University · Information Research Institute, CAS +2
We study a constrained sequential decision problem for detecting regions of interest from noisy online measurements collected by a team of energy-constrained mobile sensors. The sensor motion is restricted to a precomputed set of feasible paths that satisfy mobility constraints, limited available energy by requiring return to charging stations, and avoidance of known obstacles. We cast the resulting active path selection as a multi-armed bandit problem and propose an iterative search algorithm that adaptively assigns paths using confidence bounds computed from the collected data. We also propose a graph-based method to construct low-cardinality path covers under the team's constraints. We establish finite-time and anytime probabilistic correctness guarantees for the proposed algorithm, derive non-asymptotic upper bounds on the times required to detect all regions of interest and to label all nodes, and show that these bounds match algorithm-independent lower bounds up to constant factors for a broad class of problem instances. Using numerical simulations, we illustrate the behavior of the proposed approach and the effect of path redundancy and team size on search performance.
Abraham P. Vinod, Parth K. Thaker, Gautam Dasarathy +1
Mitsubishi Electric Research Laboratories, Cambridge, MA, USA · Arizona State University, Tempe, AZ, USA
A "path-based sensor" produces a single observation along a continuous path. For example, a boolean path-based sensor returns a single "1" if an event of interest is detected at any point along the path and a "0" otherwise. Notably, a "1" provides no direct information about where along the path the event(s) may have occurred. Previous work has demonstrated that observations from multiple path-based sensors can be fused to create a Bayesian belief map over the spatial locations of the underlying event or phenomenon. Moreover, path planning can employ Shannon information theory to accelerate the rate of convergence of the belief map. In this paper, we present a new method to update the belief map based on a path-based sensor observation, and then plan paths to increase information gain. In contrast to prior work that approximates the posterior by averaging over the alternative event histories, we introduce a Bayesian Network (BN) formulation that models the probabilistic relationships between the latent variables and path-based sensor measurements, enabling a more principled Bayesian belief update. We consider static hazard detection in a communication-denied environment as a representative problem setting. The event of a robot returning from its path corresponds to a path-based hazard sensor reading of "0" (hazard not detected), while a robot failing to return corresponds to a reading of "1" (hazard detected). We consider false positives and false negatives. We find that the new method leads to quicker convergence of the belief map than prior work in both single- and multi-robot cases.
Alkesh K. Srivastava, George P. Kontoudis, Donald Sofge +1
University of Maryland, College Park, MD, US. · Temple University, Philadelphia, PA, US. · Colorado School of Mines, Golden, CO, US. +1