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LLMs can Schedule (2408.06993v1)

Published 13 Aug 2024 in cs.AI

Abstract: The job shop scheduling problem (JSSP) remains a significant hurdle in optimizing production processes. This challenge involves efficiently allocating jobs to a limited number of machines while minimizing factors like total processing time or job delays. While recent advancements in artificial intelligence have yielded promising solutions, such as reinforcement learning and graph neural networks, this paper explores the potential of LLMs for JSSP. We introduce the very first supervised 120k dataset specifically designed to train LLMs for JSSP. Surprisingly, our findings demonstrate that LLM-based scheduling can achieve performance comparable to other neural approaches. Furthermore, we propose a sampling method that enhances the effectiveness of LLMs in tackling JSSP.

Citations (1)

Summary

  • The paper demonstrates the viability of using a fine-tuned Phi-3 LLM to tackle the NP-hard Job Shop Scheduling Problem with a novel, extensive dataset.
  • It leverages LoRA fine-tuning and sampling techniques like top-k and top-p to effectively minimize makespan, achieving competitive results against existing neural methods.
  • The approach opens new avenues for applying LLMs to complex industrial optimization tasks and integrating multi-modal AI for scalable scheduling solutions.

Exploring the Utility of LLMs in Job Shop Scheduling Problems

The paper "LLMs can Schedule" by Henrik Abgaryan, Ararat Harutyunyan, and Tristan Cazenave addresses the challenging and computationally intensive Job Shop Scheduling Problem (JSSP) by leveraging LLMs. The strategic focus on JSSP stems from its pervasive role in optimizing production processes by minimizing overall completion times or job delays under multiple constraints.

Introduction and Motivation

JSSP, known for its NP-hard complexity, involves the allocation of a set of jobs, each requiring multiple operations, to a limited number of machines. Traditional techniques like heuristic algorithms and mathematical programming face limitations in scalability, especially for large-scale instances. Recent advances in AI, particularly in reinforcement learning (RL) and graph neural networks (GNNs), have shown promise in addressing JSSP. This paper pioneers the integration of LLMs for JSSP, positioning it as the first exploration into using LLMs for end-to-end job shop scheduling.

Problem Representation and Dataset

The researchers introduced a supervised dataset with approximately 120,000 instances tailored to train LLMs for JSSP. These instances range from small to relatively large problem sizes and include natural language descriptions of job operations and related scheduling constraints. The dataset also comprises feasible solutions generated through Google's OR-Tools within a bounded time limit, ensuring practical utility although not guaranteeing optimality for larger instances.

Methodology

The researchers utilized the Phi-3-Mini-128K-Instruct model, a lightweight yet robust LLM, fine-tuned using the LoRA (Low-Rank Adaptation) method. The representation of JSSP problems in human-readable, task-centric formats facilitated effective training. During the model evaluation phase, sampling methods such as top-k and top-p were employed to enhance solution generation.

Training and Fine-Tuning

The fine-tuning process involved training the Phi-3 model on the curated dataset with specific LoRA configurations to efficiently adapt the pre-trained LLM for scheduling tasks. The training utilized single-GPU setup with stringent memory management techniques to handle the extensive computational demands. The model's training and validation loss curves were carefully monitored to ensure convergence and effectiveness.

Evaluation and Comparative Analysis

Evaluation of the fine-tuned model was conducted on a separate dataset, with size limitations imposed by computational resources. The performance of the model was assessed against established neural methodologies, notably those based on deep reinforcement learning (L2D) and self-supervised learning strategies (SLJ). The comparative analysis revealed that the Phi-3 model, fine-tuned with LoRA and sampling techniques, achieved competitive results. Specifically, it minimized the makespan effectively, demonstrating comparability with existing neural approaches.

Implications and Future Directions

The research underscores the potential of LLMs in solving traditionally non-textual, optimization-centric problems like JSSP. The successful implementation in this paper suggests promising avenues for using LLMs in various complex scheduling and optimization tasks. The paper's implications extend to both practical applications in manufacturing and theoretical explorations in AI.

Future research directions involve scaling up the LLM to handle larger JSSP instances, integrating multi-modal AI techniques to enhance performance, and exploring more sophisticated inference techniques. Additionally, further fine-tuning and hyper-parameter optimization could yield even better performance metrics, making LLMs a robust tool for industrial scheduling challenges.

Conclusion

The paper "LLMs can Schedule" presents a compelling case for using LLMs in job shop scheduling, marking significant progress in the intersection of natural language processing and optimization problems. It opens up new research pathways and practical applications, promising more efficient and scalable solutions to complex scheduling tasks in production environments.

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