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NP hard optimization problems like the Traveling Salesman Problem (TSP) defy efficient solutions in the worst case, yet real-world instances often exhibit exploitable patterns. We propose a novel patternaware complexity framework that…

人工智能 · 计算机科学 2025-06-18 Olivier Saidi

New operating systems for mobile devices allow their users to download millions of applications created by various individual programmers, some of which may be malicious or flawed. In order to detect that an application is malicious,…

多智能体系统 · 计算机科学 2010-09-29 Yaniv Altshuler , Shlomi Dolev , Yuval Elovici

The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Rabab Alkhalifa , Fatima Alkhomayes , Boushra Almazroua , Dana Alhaidan , Maryam Alothman , Jumana Almuhaidib

The multi-agent path-finding (MAPF) problem has recently received a lot of attention. However, it does not capture important characteristics of many real-world domains, such as automated warehouses, where agents are constantly engaged with…

人工智能 · 计算机科学 2017-06-01 Hang Ma , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

Generating diverse populations of high quality solutions has gained interest as a promising extension to the traditional optimization tasks. This work contributes to this line of research with an investigation on evolutionary diversity…

神经与进化计算 · 计算机科学 2022-11-01 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

The profitable tour problem (PTP) is a well-known NP-hard routing problem searching for a tour visiting a subset of customers while maximizing profit as the difference between total revenue collected and traveling costs. PTP is known to be…

数据结构与算法 · 计算机科学 2025-03-03 Enrico Angelelli , Renata Mansini , Romeo Rizzi

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

软凝聚态物质 · 物理学 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

In nearly every discipline, scientific computations are limited by the cost and speed of computation. For example, the best-known exact algorithms for the canonical Traveling Salesman Problem would take centuries to run on an instance of…

数据结构与算法 · 计算机科学 2026-05-04 Jeffery Li , Jayson Lynch , Liva Olina , Cecilia Chen , Andrew Lucas , Neil Thompson

We propose a novel exact algorithm for the transportation problem, one of the paradigmatic network optimization problems. The algorithm, denoted Iterated Inside Out, requires in input a basic feasible solution and is composed by two main…

最优化与控制 · 数学 2023-03-30 Roberto Bargetto , Federico Della Croce , Rosario Scatamacchia

Solving the Multi-Agent Path Finding (MAPF) problem optimally is known to be NP-Hard for both make-span and total arrival time minimization. While many algorithms have been developed to solve MAPF problems, there is no dominating optimal…

多智能体系统 · 计算机科学 2024-12-20 Jingyao Ren , Vikraman Sathiyanarayanan , Eric Ewing , Baskin Senbaslar , Nora Ayanian

We consider the a priori traveling repairman problem, which is a stochastic version of the classic traveling repairman problem (also called the traveling deliveryman or minimum latency problem). Given a metric $(V,d)$ with a root $r\in V$,…

数据结构与算法 · 计算机科学 2019-01-23 Inge Li Gørtz , Viswanath Nagarajan , Fatemeh Navidi

The genetic algorithm includes some parameters that should be adjusted, so as to get reliable results. Choosing a representation of the problem addressed, an initial population, a method of selection, a crossover operator, mutation…

神经与进化计算 · 计算机科学 2012-03-15 Otman Abdoun , Jaafar Abouchabaka , Chakir Tajani

We propose an algorithm for constructing efficient patrolling strategies in the Internet environment, where the protected targets are nodes connected to the network and the patrollers are software agents capable of detecting/preventing…

人工智能 · 计算机科学 2018-05-11 Tomáš Brázdil , Antonín Kučera , Vojtěch Řehák

The Traveling Salesman Problem (TSP) is a classical NP-hard problem that plays a crucial role in combinatorial optimization. In this paper, we are interested in the quantum search framework for the TSP because it has robust theoretical…

量子物理 · 物理学 2025-04-25 Bai Xujun , Shang Yun

People solve different problems and know that some of them are simple, some are complex and some insoluble. The main goal of this work is to develop a mathematical theory of algorithmic complexity for problems. This theory is aimed at…

计算复杂性 · 计算机科学 2008-07-08 Mark Burgin

Multi-robot systems are integral to modern logistics, but their capabilities are often limited to tasks executable by individual agents. This paper addresses a critical gap in existing frameworks like Multi-Agent Path Finding (MAPF) and…

多智能体系统 · 计算机科学 2026-05-18 Ning Zhou , Nikolai W. F. Bode , Edmund R. Hunt

In a multi-agent pathfinding (MAPF) problem, agents need to navigate from their start to their goal locations without colliding into each other. There are various MAPF algorithms, including Windowed Hierarchical Cooperative A*, Flow…

人工智能 · 计算机科学 2019-06-18 Devon Sigurdson , Vadim Bulitko , Sven Koenig , Carlos Hernandez , William Yeoh

Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics that asks us to compute collision-free paths for a team of agents, all moving across a shared map. Although many works appear on this topic, all current algorithms…

人工智能 · 计算机科学 2024-02-01 Zhe Chen , Daniel Harabor , Jiaoyang Li , Peter J. Stuckey

The traveling tournament problem (TTP) is to minimize the total traveling distance of all teams in a double round-robin tournament. In this paper, we focus on TTP-2, in which each team plays at most two consecutive home games and at most…

数据结构与算法 · 计算机科学 2024-03-01 Yuga Kanaya , Kenjiro Takazawa

We present a black-box reduction from the path version of the Traveling Salesman Problem (Path TSP) to the classical tour version (TSP). More precisely, we show that given an $\alpha$-approximation algorithm for TSP, then, for any $\epsilon…

离散数学 · 计算机科学 2019-07-25 Vera Traub , Jens Vygen , Rico Zenklusen