# A Universal Load Balancing Principle and Its Application to Large Language Model Serving

arXiv: https://arxiv.org/abs/2601.17855 · HTML: https://mlsanity.com/paper/2601.17855/

## Key facts

- Cited by 8 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Jan 2026.

## Built on by (most cited first, 8 of 8)

- [MoE-SpAc: Efficient MoE Inference Based on Speculative Activation Utility in Heterogeneous Edge Scenarios](https://mlsanity.com/paper/2603.09983/) (2026)
- [Analytical Provisioning for Attention-FFN Disaggregated LLM Serving under Stochastic Workloads](https://mlsanity.com/paper/2601.21351/) (2026)
- [A Queueing-Theoretic Framework for Stability Analysis of LLM Inference with KV Cache Memory Constraints](https://mlsanity.com/paper/2605.04595/) (2026)
- [Position: LLM Serving Needs Mathematical Optimization and Algorithmic Foundations, Not Just Heuristics](https://mlsanity.com/paper/2605.01280/) (2026)
- [Tackling the Data-Parallel Load Balancing Bottleneck in LLM Serving: Practical Online Routing at Scale](https://mlsanity.com/paper/2605.06113/) (2026)
- [Service-Induced Congestion in Memory-Constrained LLM Serving](https://mlsanity.com/paper/2606.15555/) (2026)
- [LLM Serving in the Wild: An Empirical Study of Frameworks, Methods, and System Designs](https://mlsanity.com/paper/2608.03036/) (2026)
- [End-to-End Latency-Minimizing and Load-Balanced Request Scheduling for Edge LLM Inference in Agentic AI Services](https://mlsanity.com/paper/2609.17193/) (2026)

## Abstract (arXiv)

Over 40% of computational power in Large Language Model (LLM) serving systems can be systematically wasted - not from hardware limits, but from load imbalance in barrier-synchronized parallel processing. When progress is gated by the slowest worker at each step, heterogeneous and evolving workloads create persistent stragglers; faster workers idle while drawing power, producing nothing. In large language model inference alone, this translates to gigawatt-hours of wasted electricity daily. Here we develop a universal load-balancing principle for barrier-synchronized systems with non-migratable state. We prove worst-case theoretical guarantees: imbalance reduction grows with system scale, and the resulting energy savings can exceed 52% for modern hardware at fleet scale. Experiments corroborate the theory, demonstrating 28% energy reduction alongside substantial throughput and latency improvements. Formulated as an online integer optimization with provable guarantees, the principle extends beyond LLM serving to broad classes of barrier-synchronized parallel systems, establishing a theoretical foundation for sustainable high-performance computing.
