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Constraint Satisfaction Problems (CSPs) typically have many solutions that satisfy all constraints. Often though, some solutions are preferred over others, that is, some solutions dominate other solutions. We present solution dominance as a…

人工智能 · 计算机科学 2018-12-24 Tias Guns , Peter J. Stuckey , Guido Tack

The Set Cover Problem (SCP) and the Hitting Set Problem (HSP) are well-studied optimization problems. In this paper we introduce the Reward-Penalty-Selection Problem (RPSP) which can be understood as a combination of the SCP and the HSP…

计算复杂性 · 计算机科学 2021-06-29 T. Heller , S. O. Krumke , K. -H. Küfer

This article presents an overview of a research study of a crucial optimization problem in the Computer Science/Operations research field: The Job-shop Scheduling Problem (JSP). The JSP is a challenging task in which a set of operations…

计算机科学中的逻辑 · 计算机科学 2022-08-08 Mohammed M. S. El-Kholany

In order to achieve both fast and coordinated data transfer to collaborative sites as well as to create a distribution of data over multiple sites, efficient data movement is one of the most essential aspects in distributed environment.…

性能 · 计算机科学 2009-04-14 Michal Zerola , Jerome Lauret , Roman Bartak , Michal Sumbera

This paper presents a hybrid CPU-GPU framework for solving combinatorial scheduling problems formulated as Integer Linear Programming (ILP). While scheduling underpins many optimization tasks in computing systems, solving these problems…

机器学习 · 计算机科学 2026-04-01 Mingju Liu , Jiaqi Yin , Alvaro Velasquez , Cunxi Yu

Solving combinatorial optimization problems involve satisfying a set of hard constraints while optimizing some objectives. In this context, exact or approximate methods can be used. While exact methods guarantee the optimal solution, they…

人工智能 · 计算机科学 2024-09-13 Aymen Ben Said , Malek Mouhoub

Distributed Pseudo-tree Optimization Procedure (DPOP) is a well-known message passing algorithm that has been used to provide optimal solutions of Distributed Constraint Optimization Problems (DCOPs) -- a framework that is designed to…

多智能体系统 · 计算机科学 2019-09-17 Mashrur Rashik , Md. Musfiqur Rahman , Md. Mamun-or-Rashid , Md. Mosaddek Khan

We introduce a problem class we call Polynomial Constraint Satisfaction Problems, or PCSP. Where the usual CSPs from computer science and optimization have real-valued score functions, and partition functions from physics have monomials,…

离散数学 · 计算机科学 2010-01-14 Alexander D. Scott , Gregory B. Sorkin

Many discrete minimization problems, including various versions of the shortest path problem, can be efficiently solved by dynamic programming (DP) algorithms that are "pure" in that they only perform basic operations, as min, max, +, but…

计算复杂性 · 计算机科学 2020-12-24 Stasys Jukna , Hannes Seiwert

Dynamic programming (DP) solves a variety of structured combinatorial problems by iteratively breaking them down into smaller subproblems. In spite of their versatility, DP algorithms are usually non-differentiable, which hampers their use…

机器学习 · 统计学 2018-02-21 Arthur Mensch , Mathieu Blondel

This paper develops a dynamic programming (DP) approach for decentralized stochastic optimal control problems with delayed sharing information patterns, which exhibits the fundamental Properties of classical DP of centralized partially…

系统与控制 · 电气工程与系统科学 2026-04-28 Charalambos D. Charalambous , Umarbek Guvercin , Seddik Djouadi

We introduce the online stochastic Convex Programming (CP) problem, a very general version of stochastic online problems which allows arbitrary concave objectives and convex feasibility constraints. Many well-studied problems like online…

机器学习 · 计算机科学 2014-10-29 Shipra Agrawal , Nikhil R. Devanur

We consider a general class of Dynamic Programming (DP) problems with non-separable objective functions. We show that for any problem in this class, there exists an augmented-state DP problem which satisfies the Principle of Optimality and…

最优化与控制 · 数学 2020-06-11 Morgan Jones , Matthew M. Peet

Dynamic Programming (DP) provides standard algorithms to solve Markov Decision Processes. However, these algorithms generally do not optimize a scalar objective function. In this paper, we draw connections between DP and (constrained)…

机器学习 · 计算机科学 2019-10-30 Nino Vieillard , Olivier Pietquin , Matthieu Geist

Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential for data science applications. This paper develops a provably correct randomized algorithm for solving large, weakly constrained SDP…

最优化与控制 · 数学 2021-03-26 Alp Yurtsever , Joel A. Tropp , Olivier Fercoq , Madeleine Udell , Volkan Cevher

The Flexible Job-shop Scheduling Problem (FJSP) is a classical combinatorial optimization problem that has a wide-range of applications in the real world. In order to generate fast and accurate scheduling solutions for FJSP, various deep…

机器学习 · 计算机科学 2025-09-10 Xinquan Wu , Xuefeng Yan , Mingqiang Wei , Donghai Guan

Differential Dynamic Programming (DDP) has become a well established method for unconstrained trajectory optimization. Despite its several applications in robotics and controls however, a widely successful constrained version of the…

最优化与控制 · 数学 2020-05-05 Yuichiro Aoyama , George Boutselis , Akash Patel , Evangelos A. Theodorou

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

计算机科学与博弈论 · 计算机科学 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

This paper studies a combinatorial optimization problem which is obtained by combining the flow shop scheduling problem and the shortest path problem. The objective of the obtained problem is to select a subset of jobs that constitutes a…

数据结构与算法 · 计算机科学 2013-09-03 Kameng Nip , Zhenbo Wang , Fabrice Talla Nobibon , Roel Leus

The Bus Driver Scheduling Problem (BDSP) is a combinatorial optimization problem with the goal to design shifts to cover prearranged bus tours. The objective takes into account the operational cost as well as the satisfaction of drivers.…

最优化与控制 · 数学 2026-04-23 Lucas Kletzander , Tommaso Mannelli Mazzoli , Nysret Musliu , Pascal Van Hentenryck