Last fifty years of integer linear programming: A focus on recent practical advances

François Clautiaux and Ivana Ljubić

European Journal of Operational Research, 2025, vol. 324, issue 3, 707-731

Abstract: Mixed-integer linear programming (MILP) has become a cornerstone of operations research. This is driven by the enhanced efficiency of modern solvers, which can today find globally optimal solutions within seconds for problems that were out of reach a decade ago. The versatility of these solvers allowed successful applications in many areas, such as transportation, logistics, supply chain management, revenue management, finance, telecommunications, and manufacturing. Despite the impressive success already obtained, many challenges remain, and MILP is still a very active field.

Keywords: Combinatorial optimization; Mixed-integer linear programming; Branch-and-cut; Dantzig–Wolfe decomposition; Benders decomposition (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:324:y:2025:i:3:p:707-731

DOI: 10.1016/j.ejor.2024.11.018

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