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Generalized traveling salesman problem (GTSP) is an extension of classical traveling salesman problem (TSP), which is a combinatorial optimization problem and an NP-hard problem. In this paper, an efficient discrete state transition…

最优化与控制 · 数学 2015-09-22 Xiaolin Tang , Chunhua Yang , Xiaojun Zhou , Weihua Gui

The Makespan Scheduling problem is an extensively studied NP-hard problem, and its simplest version looks for an allocation approach for a set of jobs with deterministic processing times to two identical machines such that the makespan is…

神经与进化计算 · 计算机科学 2025-04-25 Feng Shi , Daoyu Huang , Xiankun Yan , Frank Neumann

This paper gives a detailed review of reinforcement learning (RL) in combinatorial optimization, introduces the history of combinatorial optimization starting in the 1950s, and compares it with the RL algorithms of recent years. This paper…

机器学习 · 计算机科学 2023-10-04 Yunhao Yang , Andrew Whinston

The Generalised Travelling Salesman Problem (GTSP) is a well-known problem that, among other applications, arises in warehouse order picking, where each stock is distributed between several locations -- a typical approach in large modern…

人工智能 · 计算机科学 2019-08-12 Olegs Nalivajevs , Daniel Karapetyan

The world is connected through the Internet. As the abundance of Internet users connected into the Web and the popularity of cloud computing research, the need of Artificial Intelligence (AI) is demanding. In this research, Genetic…

神经与进化计算 · 计算机科学 2018-02-12 Aryo Pinandito , Novanto Yudistira , Fajar Pradana

The travelling salesperson problem (TSP) is a classic resource allocation problem used to find an optimal order of doing a set of tasks while minimizing (or maximizing) an associated objective function. It is widely used in robotics for…

机器人学 · 计算机科学 2022-07-19 Ishaan Mehta , Sharareh Taghipour , Sajad Saeedi

The traveling salesman problem (TSP) is a fundamental problem in combinatorial optimization. Several semidefinite programming relaxations have been proposed recently that exploit a variety of mathematical structures including, e.g.,…

数据结构与算法 · 计算机科学 2019-07-23 Samuel C. Gutekunst , David P. Williamson

The Traveling Salesman Problem (TSP) is a prototypical combinatorial optimization problem, but its quantum implementation is limited by the O(n^2)-qubit overhead of standard one-hot encodings. Here, we propose a resource-efficient…

量子物理 · 物理学 2026-05-04 Yuefeng Lin , Chao Zheng , Cong Guo

The Traveling salesman problem (TSP) is proved to be NP-complete in most cases. The genetic algorithm (GA) is one of the most useful algorithms for solving this problem. In this paper a conventional GA is compared with an improved hybrid GA…

神经与进化计算 · 计算机科学 2014-09-11 Keivan Borna , Vahid Haji Hashemi

This paper considers multi-goal motion planning in unstructured, obstacle-rich environments where a robot is required to reach multiple regions while avoiding collisions. The planned motions must also satisfy the differential constraints…

机器人学 · 计算机科学 2025-03-27 Yuanjie Lu , Erion Plaku

Self Organizing Migrating Algorithm (SOMA) is a meta-heuristic algorithm based on the self-organizing behavior of individuals in a simulated social environment. SOMA performs iterative computations on a population of potential solutions in…

神经与进化计算 · 计算机科学 2017-09-13 Shubham Dokania , Sunyam Bagga , Rohit Sharma

The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods…

量子物理 · 物理学 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

The Traveling Tournament Problem (TTP) is a challenging combinatorial optimization problem that has attracted the interest of researchers around the world. This paper proposes an improved search neighbourhood for the TTP that has been…

数据结构与算法 · 计算机科学 2010-07-06 Glenn Langford

A well known N P-hard problem called the Generalized Traveling Salesman Problem (GTSP) is considered. In GTSP the nodes of a complete undirected graph are partitioned into clusters. The objective is to find a minimum cost tour passing…

人工智能 · 计算机科学 2017-08-15 Camelia-M. Pintea , Petrica C. Pop , Camelia Chira

The paper investigates stochastic resource allocation problems with scarce, reusable resources and non-preemtive, time-dependent, interconnected tasks. This approach is a natural generalization of several standard resource management…

机器学习 · 计算机科学 2014-01-16 Balázs Csanád Csáji , László Monostori

The optimal transmission switching problem (OTSP) is an established problem of changing a power grid's topology to obtain an improved operation by controlling the switching status of transmission lines. This problem was proven to be…

系统与控制 · 电气工程与系统科学 2025-06-05 Anton Hinneck , David Pozo

Quantum computing is offering a novel perspective for solving combinatorial optimization problems. To fully explore the possibilities offered by quantum computers, the problems need to be formulated as unconstrained binary models, taking…

量子物理 · 物理学 2022-02-01 Özlem Salehi , Adam Glos , Jarosław Adam Miszczak

In this paper we study the following multi-robot coordination problem: given a graph, where each edge is weighted by the probability of surviving while traversing it, find a set of paths for $K$ robots that maximizes the expected number of…

机器人学 · 计算机科学 2016-12-13 Stefan Jorgensen , Robert H. Chen , Mark B. Milam , Marco Pavone

In this work, a novel idea is presented for combinatorial optimization problems, a hybrid network, which results in a superior outcome. We applied this method to graph pointer networks [1], expanding its capabilities to a higher level. We…

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