Next-generation edge intelligence is anticipated to bring huge benefits to various applications, e.g., offloading systems. However, traditional deep offloading architectures face several issues, including heterogeneous constraints, partial perception, uncertain generalization, and lack of tractability. In this context, the integration of offloading with large language models (LLMs) presents numerous advantages. Therefore, we propose an LLM-Based Offloading (LAMBO) framework for mobile edge computing (MEC), which comprises four components: (i) Input embedding (IE), which is used to represent the information of the offloading system with constraints and prompts through learnable vectors with high quality; (ii) Asymmetric encoderdecoder (AED) model, which is a decision-making module with a deep encoder and a shallow decoder. It can achieve high performance based on multi-head self-attention schemes; (iii) Actor-critic reinforcement learning (ACRL) module, which is employed to pre-train the whole AED for different optimization tasks under corresponding prompts; and (iv) Active learning from expert feedback (ALEF), which can be used to finetune the decoder part of the AED while adapting to dynamic environmental changes. Our simulation results corroborate the advantages of the proposed LAMBO framework.

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