Domain-Independent Dynamic Programming

التفاصيل البيبلوغرافية
العنوان: Domain-Independent Dynamic Programming
المؤلفون: Kuroiwa, Ryo, Beck, J. Christopher
سنة النشر: 2024
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Artificial Intelligence, F.2.2, I.2.8
الوصف: For combinatorial optimization problems, model-based paradigms such as mixed-integer programming (MIP) and constraint programming (CP) aim to decouple modeling and solving a problem: the `holy grail' of declarative problem solving. We propose domain-independent dynamic programming (DIDP), a new model-based paradigm based on dynamic programming (DP). While DP is not new, it has typically been implemented as a problem-specific method. We introduce Dynamic Programming Description Language (DyPDL), a formalism to define DP models based on a state transition system, inspired by AI planning. We show that heuristic search algorithms can be used to solve DyPDL models and propose seven DIDP solvers. We experimentally compare our DIDP solvers with commercial MIP and CP solvers (solving MIP and CP models, respectively) on common benchmark instances of eleven combinatorial optimization problem classes. We show that DIDP outperforms MIP in nine problem classes, CP also in nine problem classes, and both MIP and CP in seven.
Comment: Manuscript submitted to Artificial Intelligence
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.13883
رقم الأكسشن: edsarx.2401.13883
قاعدة البيانات: arXiv