Discounted Pseudocosts in MILP

التفاصيل البيبلوغرافية
العنوان: Discounted Pseudocosts in MILP
المؤلفون: Patel, Krunal Kishor
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Computer Science - Artificial Intelligence, Computer Science - Machine Learning, Mathematics - Optimization and Control, 90C11 (Primary), 90C10, 90-08 (Secondary)
الوصف: In this article, we introduce the concept of discounted pseudocosts, inspired by discounted total reward in reinforcement learning, and explore their application in mixed-integer linear programming (MILP). Traditional pseudocosts estimate changes in the objective function due to variable bound changes during the branch-and-bound process. By integrating reinforcement learning concepts, we propose a novel approach incorporating a forward-looking perspective into pseudocost estimation. We present the motivation behind discounted pseudocosts and discuss how they represent the anticipated reward for branching after one level of exploration in the MILP problem space. Initial experiments on MIPLIB 2017 benchmark instances demonstrate the potential of discounted pseudocosts to enhance branching strategies and accelerate the solution process for challenging MILP problems.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.06237
رقم الأكسشن: edsarx.2407.06237
قاعدة البيانات: arXiv