In this study, we propose an exact method for optimizing a linear function over the efficient set of a multi-objective transportation problem (MOTP). This type of problem arises when a decision maker ...

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 ...

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Abstract: This study proposes algorithms for optimal well placement in oil and gas fields. These algorithms allow the initial discrete programming problem of large dimensionality to be replaced by a ...

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 ...

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Proponents of generative AI have claimed that the technology can make human workers more productive, especially when it comes to writing computer code. If anything, the study says usage of Copilot ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...