Note that the optimal solution to Gonzaga’s problem denoted by (G) is [a, 0] T with an optimal value of the objective function equal to a, a ≥ 10. From the infeasible starting point e = [1, 1] T, the ...

Numerical performance of HPR-LP and cuPDLP.jl on 18 LP relaxations (>10M nonzeros in $A$) from MIPLIB 2017 without Gurobi's presolve. Time limit 18000 seconds. Before ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. There is a need for design strategies that can support rapid and widespread deployment ...

The artificial intelligence start-up said the new system, OpenAI o3, outperformed leading A.I. technologies on tests that rate skills in math, science, coding and logic. By Cade Metz Reporting from ...

Abstract: This study proposes LiP-LLM: integrating linear programming and dependency graph with large language models (LLMs) for multi-robot task planning. For multi-robots to efficiently perform ...

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NVIDIA's cuOpt leverages GPU technology to drastically accelerate linear programming, achieving performance up to 5,000 times faster than traditional CPU-based solutions. The landscape of linear ...

Since the open-pit precedence-constrained production scheduling problem is an NP-hard problem, solving it is always a challenging task, especially from a long-term perspective because a mineral ...