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Binary file added LSNDP_Frontier_AI_Paper.docx
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17 changes: 17 additions & 0 deletions README.md
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**Frontier AI Techniques for LSNDP**
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The Liner Shipping Network Design Problem (LSNDP) — deciding which cyclic vessel routes to operate, which vessels to deploy, and how to route
containerized cargo through the resulting network — is among the most challenging problems in transportation optimization. Despite three decades of
operations research effort, no exact method can solve real-world instances to optimality, and even state-of-the-art metaheuristics leave significant
optimality gaps on benchmark instances. We argue that the LSNDP’s unique structure — the coupling of combinatorial service design with continuous
cargo flow, the exponential service generation space, and the deceptive fitness landscape — demands a fundamentally new class of hybrid solvers.
We survey six frontier techniques: AlphaEvolve-style LLM-guided program evolution, multi-agent LLM orchestration, GNN-accelerated column generation,
hierarchical deep reinforcement learning, OPRO-style LLM-as-optimizer, and simulation-based robust optimization. For each, we analyze which
specific computational bottleneck of LSNDP it addresses and where it falls short. We then propose a three-layer architecture — evolved
heuristics (AlphaEvolve), structural reasoning (multi-agent LLM with critic), and mathematical guarantees (column generation backbone) — that
synergistically combines these paradigms. We ground our analysis in the LINERLIB benchmark suite, the standard testbed for LSNDP research.

Below are details from the original Linerlib paper where the problem is forumated along with some data. This repo is suggesting use of modern AI techniques to solve this problem. The details are available in the paper called **'LSNDP_Frontier_AI_Paper.docx'**

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LINERLIB
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