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Constraint Programming (CP) and Local Search (LS) are different paradigms for dealing with combinatorial search and optimization problems. Their complementary features motivated researchers to create hybrid CP/LS solutions, maintaining both…

神经与进化计算 · 计算机科学 2019-09-19 Mateusz Ślażyński

In this paper the approach to solving several combinatorial optimization problems using the local search and the genetic algorithm techniques is proposed. Initially this approach was developed in purpose to overcome some difficulties…

神经与进化计算 · 计算机科学 2010-04-30 Anton Bondarenko

This is a survey of "Iterated Local Search", a general purpose metaheuristic for finding good solutions of combinatorial optimization problems. It is based on building a sequence of (locally optimal) solutions by: (1) perturbing the current…

最优化与控制 · 数学 2007-05-23 H. R. Lourenco , O. C. Martin , T. Stutzle

Constrained Optimum Path (COP) problems appear in many real-life applications, especially on communication networks. Some of these problems have been considered and solved by specific techniques which are usually difficult to extend. In…

人工智能 · 计算机科学 2009-10-08 Quang Dung Pham , Yves Deville , Pascal Van Hentenryck

Maritime inventory routing optimization is an important yet challenging combinatorial optimization problem. We propose a machine learning-based local search approach for finding feasible solutions of large-scale maritime inventory routing…

最优化与控制 · 数学 2025-08-22 Rui Chen , Defeng Liu , Nan Jiang , Rishabh Gupta , Mustafa Kilinc , Andrea Lodi

What is the effectiveness of local search algorithms for geometric problems in the plane? We prove that local search with neighborhoods of magnitude $1/\epsilon^c$ is an approximation scheme for the following problems in the Euclidian…

计算几何 · 计算机科学 2015-09-10 Vincent Cohen-Addad , Claire Mathieu

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

数据结构与算法 · 计算机科学 2020-06-03 Kaito Fujii

Combinatorial optimization problems are encountered in many practical contexts such as logistics and production, but exact solutions are particularly difficult to find and usually NP-hard for considerable problem sizes. To compute…

机器学习 · 计算机科学 2023-05-22 Jonas K. Falkner , Daniela Thyssens , Ahmad Bdeir , Lars Schmidt-Thieme

Local search is a fundamental optimization technique that is both widely used in practice and deeply studied in theory, yet its computational complexity remains poorly understood. The traditional frameworks, PLS and the standard algorithm…

计算复杂性 · 计算机科学 2026-01-05 Robert Ganian , Hung P. Hoang , Christian Komusiewicz , Nils Morawietz

Local Search meta-heuristics have been proven a viable approach to solve difficult optimization problems. Their performance depends strongly on the search space landscape, as defined by a cost function and the selected neighborhood…

神经与进化计算 · 计算机科学 2019-09-19 Mateusz Ślażyński , Salvador Abreu , Grzegorz J. Nalepa

Local search algorithms use the neighborhood relations among search states and often perform well for a variety of NP-hard combinatorial search problems. This paper shows how quantum computers can also use these neighborhood relations. An…

量子物理 · 物理学 2007-05-23 Tad Hogg , Mehmet Yanik

Local Search is one of the fundamental approaches to combinatorial optimization and it is used throughout AI. Several local search algorithms are based on searching the k-exchange neighborhood. This is the set of solutions that can be…

数据结构与算法 · 计算机科学 2012-08-20 Serge Gaspers , Eun Jung Kim , Sebastian Ordyniak , Saket Saurabh , Stefan Szeider

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

人工智能 · 计算机科学 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

Among sub-optimal MAPF solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that brings each agent to its target, preventing deadlock…

最优化与控制 · 数学 2024-04-10 S. Ardizzoni , I. Saccani , L. Consolini , M. Locatelli

We present a local search framework to design and analyze both combinatorial algorithms and rounding algorithms for experimental design problems. This framework provides a unifying approach to match and improve all known results in…

数据结构与算法 · 计算机科学 2020-12-21 Lap Chi Lau , Hong Zhou

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

最优化与控制 · 数学 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

计算与语言 · 计算机科学 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

Combinatorial optimization problems implicitly define fitness landscapes that combine the numeric structure of the 'fitness' function to be maximized with the combinatorial structure of which assignments are 'adjacent'. Local search starts…

数据结构与算法 · 计算机科学 2026-01-13 Artem Kaznatcheev , Sofia Vazquez Alferez

Finding high-quality solutions to mixed-integer linear programming problems (MILPs) is of great importance for many practical applications. In this respect, the refinement heuristic local branching (LB) has been proposed to produce…

最优化与控制 · 数学 2022-08-04 Defeng Liu , Matteo Fischetti , Andrea Lodi

In this paper, we study the parameterized complexity of local search, whose goal is to find a good nearby solution from the given current solution. Formally, given an optimization problem where the goal is to find the largest feasible…

数据结构与算法 · 计算机科学 2025-12-04 Aditya Anand , Vincent Cohen-Addad , Tommaso d'Orsi , Anupam Gupta , Euiwoong Lee , Debmalya Panigrahi , Sijin Peng
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