OptiVerse: A Comprehensive Benchmark towards Optimization Problem Solving

Fuente: arXiv
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Main Authors: Zhang, Xinyu, Zhang, Boxuan, Wan, Yuchen, Zhang, Lingling, Yao, YiXing, Wei, Bifan, Wu, Yaqiang, Liu, Jun
Format: Preprint
Published: 2026
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_version_ 1866918464370769920
author Zhang, Xinyu
Zhang, Boxuan
Wan, Yuchen
Zhang, Lingling
Yao, YiXing
Wei, Bifan
Wu, Yaqiang
Liu, Jun
author_facet Zhang, Xinyu
Zhang, Boxuan
Wan, Yuchen
Zhang, Lingling
Yao, YiXing
Wei, Bifan
Wu, Yaqiang
Liu, Jun
contents While Large Language Models (LLMs) demonstrate remarkable reasoning, complex optimization tasks remain challenging, requiring domain knowledge and robust implementation. However, existing benchmarks focus narrowly on Mathematical Programming and Combinatorial Optimization, hindering comprehensive evaluation. To address this, we introduce OptiVerse, a comprehensive benchmark of 1,000 curated problems spanning neglected domains, including Stochastic Optimization, Dynamic Optimization, Game Optimization, and Optimal Control, across three difficulty levels: Easy, Medium, and Hard. The experiments with 22 LLMs of different sizes reveal sharp performance degradation on hard problems, where even advanced models like GPT-5.2 and Gemini-3 struggle to exceed 27% accuracy. Through error analysis, we identify that modeling & logic errors remain the primary bottleneck. Consequently, we propose a Dual-View Auditor Agent that improves the accuracy of the LLM modeling process without introducing significant time overhead. OptiVerse will serve as a foundational platform for advancing LLMs in solving complex optimization challenges.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21510
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle OptiVerse: A Comprehensive Benchmark towards Optimization Problem Solving
Zhang, Xinyu
Zhang, Boxuan
Wan, Yuchen
Zhang, Lingling
Yao, YiXing
Wei, Bifan
Wu, Yaqiang
Liu, Jun
Computation and Language
While Large Language Models (LLMs) demonstrate remarkable reasoning, complex optimization tasks remain challenging, requiring domain knowledge and robust implementation. However, existing benchmarks focus narrowly on Mathematical Programming and Combinatorial Optimization, hindering comprehensive evaluation. To address this, we introduce OptiVerse, a comprehensive benchmark of 1,000 curated problems spanning neglected domains, including Stochastic Optimization, Dynamic Optimization, Game Optimization, and Optimal Control, across three difficulty levels: Easy, Medium, and Hard. The experiments with 22 LLMs of different sizes reveal sharp performance degradation on hard problems, where even advanced models like GPT-5.2 and Gemini-3 struggle to exceed 27% accuracy. Through error analysis, we identify that modeling & logic errors remain the primary bottleneck. Consequently, we propose a Dual-View Auditor Agent that improves the accuracy of the LLM modeling process without introducing significant time overhead. OptiVerse will serve as a foundational platform for advancing LLMs in solving complex optimization challenges.
title OptiVerse: A Comprehensive Benchmark towards Optimization Problem Solving
topic Computation and Language
url https://arxiv.org/abs/2604.21510