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Learning to solve combinatorial optimization problems, such as the vehicle routing problem, offers great computational advantages over classical operations research solvers and heuristics. The recently developed deep reinforcement learning…

Machine Learning · Computer Science 2022-01-06 Daniela Thyssens , Jonas Falkner , Lars Schmidt-Thieme

The Flexible Job Shop Scheduling Problem (FJSP) is the optimal allocation of a set of jobs to machines. Two primary challenges persist in FJSP: the unpredictable arrival of future jobs and the combinatorial complexity of the problem,…

Artificial Intelligence · Computer Science 2026-05-22 Yu Tang , Muhammad Zakwan , Efe Balta , John Lygeros , Alisa Rupenyan

Optical camera communications (OCC) has emerged as a key enabling technology for the seamless operation of future autonomous vehicles. In this paper, we introduce a spectral efficiency optimization approach in vehicular OCC. Specifically,…

Machine Learning · Computer Science 2022-05-06 Amirul Islam , Leila Musavian , Nikolaos Thomos

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…

Quantum Physics · Physics 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee

In this paper we discuss the application of Artificial Intelligence (AI) to the exemplary industrial use case of the two-dimensional commissioning problem in a high-bay storage, which essentially can be phrased as an instance of Traveling…

Neural and Evolutionary Computing · Computer Science 2024-04-16 Stefan Wintersteller , Martin Uray , Michael Lehenauer , Stefan Huber

We introduce Limited Rollout Beam Search (LRBS), a beam search strategy for deep reinforcement learning (DRL) based combinatorial optimization improvement heuristics. Utilizing pre-trained models on the Euclidean Traveling Salesperson…

Machine Learning · Computer Science 2024-12-16 Federico Julian Camerota Verdù , Lorenzo Castelli , Luca Bortolussi

Evolutionary algorithms have been shown to obtain good solutions for complex optimization problems in static and dynamic environments. It is important to understand the behaviour of evolutionary algorithms for complex optimization problems…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Jakob Bossek , Aneta Neumann , Frank Neumann

Real-world problems are very difficult to optimize. However, many researchers have been solving benchmark problems that have been extensively investigated for the last decades even if they have very few direct applications. The Traveling…

Artificial Intelligence · Computer Science 2016-03-25 Mohamed El Yafrani , Belaïd Ahiod

Deep reinforcement learning (DRL) has shown great promise in addressing multi-objective combinatorial optimization problems (MOCOPs). Nevertheless, the robustness of these learning-based solvers has remained insufficiently explored,…

Machine Learning · Computer Science 2026-01-06 Wei Liu , Yaoxin Wu , Yingqian Zhang , Thomas Bäck , Yingjie Fan

Many real-world scenarios involve solving bi-level optimization problems in which there is an outer discrete optimization problem, and an inner problem involving expensive or black-box computation. This arises in space-time dependent…

Optimization and Control · Mathematics 2024-07-12 Isaac Rudich , Quentin Cappart , Manuel López-Ibáñez , Michael Römer , Louis-Martin Rousseau

In recent years, there has been a notable surge in research on machine learning techniques for combinatorial optimization. It has been shown that learning-based methods outperform traditional heuristics and mathematical solvers on the…

Machine Learning · Computer Science 2024-03-05 Shiqing Liu , Xueming Yan , Yaochu Jin

Model free reinforcement learning (RL) provides a potential alternative to earlier formulations of adaptive transit signal priority (TSP) algorithms based on mathematical programming that require complex and nonlinear objective functions.…

Machine Learning · Computer Science 2024-08-02 Dickness Kwesiga , Angshuman Guin , Michael Hunter

An important variant of the classic Traveling Salesman Problem (TSP) is the Dynamic TSP, in which a system with dynamic constraints is tasked with visiting a set of n target locations (in any order) in the shortest amount of time. Such…

Robotics · Computer Science 2023-02-02 Aviv Adler , Oren Gal , Sertac Karaman

Tradable credit schemes (TCS) are an increasingly studied alternative to congestion pricing, given their revenue neutrality and ability to address issues of equity through the initial credit allocation. Modeling TCS to aid future design and…

Machine Learning · Computer Science 2025-04-14 Xiaoyi Wu , Ravi Seshadri , Filipe Rodrigues , Carlos Lima Azevedo

The job shop scheduling problem (JSSP) and its solution algorithms have been of enduring interest in both academia and industry for decades. In recent years, machine learning (ML) is playing an increasingly important role in advancing…

Artificial Intelligence · Computer Science 2025-02-05 Constantin Waubert de Puiseau , Fabian Wolz , Merlin Montag , Jannik Peters , Hasan Tercan , Tobias Meisen

In this paper, we evaluate the use of Reinforcement Learning (RL) to solve a classic combinatorial optimization problem: the Capacitated Vehicle Routing Problem (CVRP). We formalize this problem in the RL framework and compare two of the…

Artificial Intelligence · Computer Science 2022-01-17 Leo Ardon

The travelling thief problem (TTP) is a multi-component optimisation problem involving two interdependent NP-hard components: the travelling salesman problem (TSP) and the knapsack problem (KP). Recent state-of-the-art TTP solvers modify…

Artificial Intelligence · Computer Science 2023-03-01 Majid Namazi , Conrad Sanderson , M. A. Hakim Newton , Abdul Sattar

The min-max vehicle routing problem (min-max VRP) traverses all given customers by assigning several routes and aims to minimize the length of the longest route. Recently, reinforcement learning (RL)-based sequential planning methods have…

Machine Learning · Computer Science 2024-06-07 Zhi Zheng , Shunyu Yao , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Ke Tang

We propose a framework of genetic algorithms which use multi-level hierarchies to solve an optimization problem by searching over the space of simpler objective functions. We solve a variant of Travelling Salesman Problem called…

Neural and Evolutionary Computing · Computer Science 2019-08-06 Harshavardhan Kamarthi , Kousik Krishnan

We present a trajectory optimization algorithm for the traveling salesman problem (TSP) in graphs of convex sets (GCS). Our framework uses an augmented graph of convex sets to encode the TSP specification and solve it exactly as a shortest…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Gael Luna , Tyler Summers
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