Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks
Abstract
1. Introduction
- First, we investigate a model-aware MEC computation control problem for vehicular perception and decision-making tasks under stringent latency and energy constraints. The communication side is represented through an explicitly stated subchannel contention interface for subchannel-load balancing and energy accounting, while the main optimization target is MEC-side AI model selection and DVFS-based computation control. Accordingly, the measured performance improvements are primarily attributed to the MEC-side model-aware SAC controller rather than to physical-layer transmit-power optimization.
- Second, we integrate AI model selection into the DRL policy learning process, enabling the proposed framework to select an appropriate AI model according to real-time MEC workload, queue state, computational capacity, and energy consumption. We formulate a deadline-aware model selection and computation control problem that minimizes a composite objective comprising E2E delay, total energy consumption, and deadline violation, thereby accounting for both the efficiency and reliability requirements of safety-critical vehicular applications. In the present evaluation, the demonstrated gains are attributed primarily to the MEC-side SAC agent for AI model selection and DVFS control. The vehicle-side MAPPO component is retained as a common communication interface representation for subchannel assignment and energy accounting, and is not claimed as a source of transmission-power-induced rate optimization gain.
- Finally, we develop a discrete-time simulation framework that captures V2X communication, task arrivals, MEC-based AI inference, and hierarchical DRL-based control processes. Extensive simulation experiments are conducted to evaluate the proposed framework, showing that the proposed approach achieves consistent improvements over baseline methods in terms of E2E latency, energy efficiency, and service reliability under varying numbers of vehicles, task data sizes, and channel conditions.
2. Related Works
2.1. MEC-Assisted Vehicular Networks and Task Offloading
2.2. DRL and SDN-Enabled Resource Management for VEC
2.3. Edge Intelligence and Distributed AI Workloads
3. System Models
3.1. Network Architecture
3.2. Communication Model
3.3. Computation Model
3.4. Latency and Energy Model
3.5. Problem Formulation
| Algorithm 1: Vehicle-Side MAPPO-Based Communication Interface |
| 1: Input: Set of vehicles , RSUs , fixed V2X channel bandwidth , initial actor parameters , and centralized critic parameters |
| 2: Output: Trained vehicle policies |
| 3: Initialize decentralized actor networks and centralized critic |
| 4: for each training episode do |
| 5: Initialize the environment state and clear the trajectory buffer |
| 6: for each time slot do |
| 7: Each vehicle observes its local state |
| 8: Each vehicle outputs the interface action , where is usedfor energy accounting and determines the subchannel index |
| 9: Apply the selected subchannel indices to determine , compute the uplink rate using (1), and observe the next state |
| 10: Compute task-level delay and energy according to (10) and (12) |
| 11: Wait for the MEC-layer SAC agent (Algorithm 2) to complete its model selection and CPU allocation for the current slot’s tasks; then compute the reward according to (16), incorporating the normalized latency, energy, and deadline-violation terms evaluated on the slot’s completed task outcomes |
| 12: Store the transition in |
| 13: end for |
| 14: Estimate advantages using the centralized critic and generalized advantage estimation (GAE) |
| 15: Update critic parameters by minimizing the value loss |
| 16: Update actor parameters using the MAPPO surrogate objective |
| 17: end for |
| 18: Deploy trained vehicle policies for online execution |
| Algorithm 2: SAC-Based Model-Aware Computation and Load Balancing |
| 1: Input: MEC servers , model set , actor , twin critics , , targets , , entropy temperature , soft-update rate |
| 2: Output: Trained computation policy |
| 3: Initialize actor , twin critics , , and targets |
| 4: for each training episode do |
| 5: Initialize the environment |
| 6: for each time slot do |
| 7: SDN controller collects aggregate state from all as defined in (19) |
| 8: Sample from |
| 9: Apply the single decision to all tasks arriving in slot |
| 10: Observe the next states |
| 11: Compute reward according to (16) from the slot’s completed-task outcomes |
| 12: Form the single transition |
| 13: Update twin critics by minimizing the soft Bellman residual |
| 14: Update actor by maximizing the entropy-regularized objective |
| 15: Soft-update targets , |
| 16: end for |
| 17: end for |
| 18: Deploy trained policy for online execution. |
- , GHz,
- ,
- , ,
- ,
- (conditioned interface variable),
- .
4. Methodology
4.1. Vehicle-Side Learning for Communication Interface
4.1.1. State Representation of Vehicle
4.1.2. Action Space of Vehicle
4.1.3. Learning Strategy of Vehicle
4.2. Edge-Side Learning for Model-Aware Computation
4.2.1. State Representation of MEC
4.2.2. Action Space of MEC
4.2.3. Learning Strategy of MEC
4.3. Training and Execution Procedure
4.4. Discussion
5. Performance Evaluation
5.1. Simulation Environment and Implementation Details
5.2. Baseline Schemes
5.3. Evaluation Metrics
5.4. Simulation Scenarios and Parameter Settings
5.5. Performance Evaluation Results
5.5.1. Overall Performance Under Varying Numbers of Vehicles



5.5.2. Impact of System Parameters on E2E Latency


5.5.3. Mechanism and Learning Analysis



5.5.4. Inference Quality Implications of Adaptive Model Selection
5.6. Scalability Considerations
5.6.1. Vehicle-Layer Scalability
5.6.2. MEC-Layer Scalability
5.6.3. Control-Layer Scalability
6. Conclusions and Future Work
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Notation | Description |
|---|---|
| Index of vehicle, task, RSU | |
| Vehicles on subchannel | |
| Channel-quality factor | |
| Per-subchannel uplink capacity | |
| AI model type (Lightweight or High-fidelity) | |
| Input data size of task | |
| Required CPU cycles under model | |
| Uplink transmission rate | |
| Transmission power of vehicle at time | |
| Uplink delay | |
| Fixed backhaul delay | |
| Backhaul delay | |
| Queueing delay at MEC | |
| Allocated MEC CPU frequency | |
| DVFS energy coefficient | |
| Computation delay | |
| E2E delay | |
| Transmission energy | |
| Computation energy | |
| Total energy | |
| Completed task average E2E delay | |
| Completed task average energy consumption | |
| Deadline satisfaction ratio | |
| Indicator function | |
| Latency and energy weights in the composite objective | |
| Deadline violation penalty coefficient | |
| Reference energy bound | |
| Composite training objective | |
| Post hoc latency–energy sensitivity cost | |
| Weighting factor for latency–energy sensitivity analysis | |
| Number of concurrent CPU cores at the MEC server | |
| Maximum aggregate CPU frequency of the MEC server at RSU | |
| Residual control loop delay | |
| Maximum acceptable deadline-violation probability |
| Parameter | Value |
|---|---|
| Number of RSUs | 1 |
| Number of MEC servers | 1 |
| Number of MEC cores | 4 |
| Maximum aggregate MEC CPU capacity | 20 GHz |
| Number of vehicles | 100, 300, 500, 1000 |
| Vehicle model | Static density per time slot |
| Task arrival process | Bernoulli process per time slot |
| Task arrival rate | 0.1–0.5 tasks/vehicle/s |
| Default task arrival rate | 0.3 tasks/vehicle/s |
| Number of OFDM sub-channels | 4 |
| Default effective V2X uplink throughput | 80 Mbps |
| Effective V2X uplink throughput sweep | 40, 60, 80, 100, 120 Mbps |
| Downlink throughput | 100 Mbps |
| Backhaul delay | 5 ms |
| Vehicle transmit-power action range | 5–23 dBm (0.003–0.2 W) |
| Common transmit-power operating point | dBm (0.141 W) |
| DVFS levels | 1.0, 2.0, 3.0, 4.0, 5.0 GHz |
| Lightweight AI model | CPU cycles/task |
| High-fidelity AI model | CPU cycles/task |
| DVFS energy coefficient | 0.5 |
| Default task data size | 0.625 MB |
| Task data size sweep | 0.2, 0.4, 0.625, 1.0, 1.5 MB |
| Result data size | 0.1 MB |
| Task deadline | 1.0 s |
| Time slot duration | 1.0 s |
| Simulation duration | 300 s (300 time slots) |
| Channel conditions | Normal: degraded: |
| Latency weight | 1.0 |
| Energy weight | 1.0 |
| Deadline-violation penalty | 8.0 |
| Energy normalization | 0.3 J |
| Sensitivity weight | 0.0–1.0 (sweep) |
| [MEC agent-SAC] | |
| Algorithm | SAC (twin-Q, online update) |
| Entropy temperature | 0.2 |
| Soft-update rate | 0.005 |
| Update scheme | Per-slot, batch size 1 |
| Continuous head | Tanh-squashed Gaussian (DVFS-snapped) |
| Discrete head | Categorical (L/H) |
| Actor hidden dim | 256 |
| [Vehicle agent-MAPPO] | |
| Algorithm | MAPPO (PPO + centralized critic) |
| GAE parameter | 0.95 |
| Clipping parameter | 0.2 |
| Update epochs | 5 |
| Continuous head | Tanh-squashed Gaussian |
| Discrete head | Categorical |
| Actor/critic hidden dim | 128/256 |
| [Flat-DRL-PPO] | |
| Algorithm | PPO (on-policy, clipped surrogate) |
| GAE /clip /epochs | 0.95/0.2/5 |
| Hidden dim | 256 |
| [Shared] | |
| Learning rate | |
| Discount factor | 0.99 |
| DVFS levels | 1.0, 2.0, 3.0, 4.0, 5.0 GHz |
| Total training steps | 500,000 |
| Random seeds | 0, 1, 2, 3, 4 |
| Scheme | (J/Arrived) | Completion | Drop | Throughput (Task/s) | |
|---|---|---|---|---|---|
| Fixed-Light | 100/300/ 500/1000 | 0.052/0.064/ 0.055/0.064 | 1.000/0.928/ 0.005/0.001 | 0.000/0.072/ 0.995/0.999 | 30.0/83.4/ 0.8/0.2 |
| Fixed-High | 100/300/ 500/1000 | 0.286/0.300/ 0.263/0.064 | 1.000/1.000/ 0.793/0.001 | 0.000/0.000/ 0.207/0.999 | 30.0/89.9/ 118.8/0.4 |
| Flat-DRL | 100/300/ 500/1000 | 0.158/0.095/ 0.090/0.026 | 1.000/0.207/ 0.105/0.001 | 0.000/0.793/ 0.895/0.999 | 30.0/18.6/ 15.7/0.4 |
| HMSC | 100/300/ 500/1000 | 0.104/0.084/ 0.102/0.127 | 1.000/0.991/ 0.959/0.826 | 0.000/0.008/ 0.041/0.174 | 30.0/89.1/ 143.7/248.1 |
| Condition | 0 ms | 10 ms | 50 ms | 100 ms | |
|---|---|---|---|---|---|
| Normal | 100 | 1.000 | 1.000 | 1.000 | 1.000 |
| 300 | 0.992 | 0.991 | 0.989 | 0.985 | |
| 500 | 0.959 | 0.958 | 0.952 | 0.944 | |
| 1000 | 0.826 | 0.825 | 0.819 | 0.780 | |
| Degraded | 100 | 1.000 | 1.000 | 1.000 | 1.000 |
| 300 | 0.857 | 0.835 | 0.729 | 0.589 | |
| 500 | 0.530 | 0.480 | 0.383 | 0.261 | |
| 1000 | 0.134 | 0.117 | 0.044 | 0.001 |
| 100 | 0.81 | 0.19 | 0.498 | 0.457 | 0.673 |
| 300 | 0.95 | 0.05 | 0.468 | 0.457 | 0.673 |
| 500 | 0.94 | 0.06 | 0.470 | 0.457 | 0.673 |
| 1000 | 0.95 | 0.05 | 0.468 | 0.457 | 0.673 |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Song, I.; Kang, S.; Ros, S.; Kim, S. Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks. Sensors 2026, 26, 4969. https://doi.org/10.3390/s26154969
Song I, Kang S, Ros S, Kim S. Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks. Sensors. 2026; 26(15):4969. https://doi.org/10.3390/s26154969
Chicago/Turabian StyleSong, Inseok, Seungwoo Kang, Seyha Ros, and Seokhoon Kim. 2026. "Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks" Sensors 26, no. 15: 4969. https://doi.org/10.3390/s26154969
APA StyleSong, I., Kang, S., Ros, S., & Kim, S. (2026). Hierarchical Model Selection and Control for Latency-Energy Optimization in MEC-Assisted Vehicular Networks. Sensors, 26(15), 4969. https://doi.org/10.3390/s26154969

