Driven by the swift progression of smart construction, the number of sensors and smart devices on construction sites has increased dramatically, posing new challenges to data processing and communications. However, conventional cloud computing framework can hardly meet the requirement for processing enormous real-time data from construction sites, while existing approaches to deploying multi-access edge computing (MEC) servers overlooked the energy usage of MEC servers, as well as the unique physical and network security requirements within the multi-story structure of complex construction sites. Therefore, this work presents a mathematical programming model for private 5G network MEC systems on smart construction sites considering installation, connectivity, energy consumption, security maintenance, and cybersecurity; and further solve it with a hybrid metaheuristic approach that combines simplified harmony search (SHS) and variable neighborhood search (VNS) algorithms. The deployment of private 5G network edge computing servers and base stations is recognized as an NP-hard problem, where conventional mathematical models may fall short in finding practical, optimal solutions. Our proposed hybrid algorithm integrates the global search capability of SHS with the local search efficiency of VNS to comprehensively explore the solution space, providing a robust yet implementable method for complex optimization. The efficacy of this approach is validated through experimental evaluations in real-world construction site scenarios, demonstrating notable advantages in solution quality, stability, energy consumption, and overall cost reduction. Results show that the proposed algorithm significantly minimizes costs related to installation, security maintenance, and data protection, fulfilling diverse constraints effectively and making it a promising solution of deploying the MEC systems in private 5G networks for smart construction sites.
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