Adaptive solution prediction for combinatorial optimization

نویسندگان

چکیده

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality efficiently, existing work uses a ML prediction of the solution guide heuristic search, where model is trained offline under supervision solved problem instances with known solutions. sufficient accuracy, it critical provide adequate features that can effectively characterize decision variables. However, acquiring such challenging due high complexity COPs. proposes framework better variables by harnessing feedback from search over several iterative steps, enabling an offline-trained in adaptive manner. We refer this approach as (ASP). Specifically, we employ set statistical measures features, which extract useful information feasible found and inform value variable likely take Our experiments on three NP-hard COPs show ASP substantially improves quality achieves competitive results compared methods terms quality. Furthermore, demonstrate be used heuristic-pricing method column generation, boost exact branch-and-price algorithm solving graph coloring problem.

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ژورنال

عنوان ژورنال: European Journal of Operational Research

سال: 2023

ISSN: ['1872-6860', '0377-2217']

DOI: https://doi.org/10.1016/j.ejor.2023.01.054