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This paper introduces the Packing While Traveling problem as a new non-linear knapsack problem. Given are a set of cities that have a set of items of distinct profits and weights and a vehicle that may collect the items when visiting all…

数据结构与算法 · 计算机科学 2017-03-22 Sergey Polyakovskiy , Frank Neumann

Understanding the interactions between different combinatorial optimisation problems in real-world applications is a challenging task. Recently, the traveling thief problem (TTP), as a combination of the classical traveling salesperson…

数据结构与算法 · 计算机科学 2017-02-20 Frank Neumann , Sergey Polyakovskiy , Martin Skutella , Leen Stougie , Junhua Wu

This research proposes a novel indicator-based hybrid evolutionary approach that combines approximate and exact algorithms. We apply it to a new bi-criteria formulation of the travelling thief problem, which is known to the Evolutionary…

人工智能 · 计算机科学 2018-02-08 Junhua Wu , Sergey Polyakovskiy , Markus Wagner , Frank Neumann

In practise, it is often desirable to provide the decision-maker with a rich set of diverse solutions of decent quality instead of just a single solution. In this paper we study evolutionary diversity optimization for the knapsack problem…

神经与进化计算 · 计算机科学 2021-04-28 Jakob Bossek , Aneta Neumann , Frank Neumann

Addressing a complex real-world optimization problem is a challenging task. The chance-constrained knapsack problem with correlated uniform weights plays an important role in the case where dependent stochastic components are considered. We…

数据结构与算法 · 计算机科学 2021-02-12 Yue Xie , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Evolutionary algorithms (EAs) are general-purpose problem solvers that usually perform an unbiased search. This is reasonable and desirable in a black-box scenario. For combinatorial optimization problems, often more knowledge about the…

神经与进化计算 · 计算机科学 2020-04-23 Vahid Roostapour , Jakob Bossek , Frank Neumann

Evolutionary algorithms are bio-inspired algorithms that can easily adapt to changing environments. Recent results in the area of runtime analysis have pointed out that algorithms such as the (1+1)~EA and Global SEMO can efficiently…

神经与进化计算 · 计算机科学 2022-06-07 Vahid Roostapour , Aneta Neumann , Frank Neumann

We present a pseudopolynomial-time algorithm for the Knapsack problem that has running time $\widetilde{O}(n + t\sqrt{p_{\max}})$, where $n$ is the number of items, $t$ is the knapsack capacity, and $p_{\max}$ is the maximum item profit.…

数据结构与算法 · 计算机科学 2024-07-02 Karl Bringmann , Anita Dürr , Adam Polak

Evolutionary algorithms are well suited for solving the knapsack problem. Some empirical studies claim that evolutionary algorithms can produce good solutions to the 0-1 knapsack problem. Nonetheless, few rigorous investigations address the…

神经与进化计算 · 计算机科学 2014-10-07 Jun He , Boris Mitavskiy , Yuren Zhou

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. However, theoretical results regarding the $(\mu+\lambda)$ evolutionary algorithm (EA) for combinatorial optimization…

神经与进化计算 · 计算机科学 2025-07-04 Min Huang , Pengxiang Chen , Han Huang , Tongli He , Yushan Zhang , Zhifeng Hao

Linear functions play a key role in the runtime analysis of evolutionary algorithms and studies have provided a wide range of new insights and techniques for analyzing evolutionary computation methods. Motivated by studies on separable…

神经与进化计算 · 计算机科学 2022-08-12 Frank Neumann , Carsten Witt

The \Problem{knapsack} problem is a fundamental problem in combinatorial optimization. It has been studied extensively from theoretical as well as practical perspectives as it is one of the most well-known NP-hard problems. The goal is to…

计算机科学与博弈论 · 计算机科学 2018-12-03 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Saeed Seddighin , Cliff Stein

The development of a satisfying and rigorous mathematical understanding of the performance of neural networks is a major challenge in artificial intelligence. Against this background, we study the expressive power of neural networks through…

机器学习 · 计算机科学 2024-07-12 Christoph Hertrich , Martin Skutella

On-policy reinforcement learning (RL) algorithms are widely used for their strong asymptotic performance and training stability, but they struggle to scale with larger batch sizes, as additional parallel environments yield redundant data…

机器学习 · 计算机科学 2025-11-13 Jianren Wang , Yifan Su , Abhinav Gupta , Deepak Pathak

Evolutionary algorithms (EAs) have been well acknowledged as a promising paradigm for solving optimisation problems with multiple conflicting objectives in the sense that they are able to locate a set of diverse approximations of Pareto…

神经与进化计算 · 计算机科学 2016-06-17 Jianyong Sun , Hu Zhang , Aimin Zhou , Qingfu Zhang

The chance-constrained knapsack problem is a variant of the classical knapsack problem where each item has a weight distribution instead of a deterministic weight. The objective is to maximize the total profit of the selected items under…

神经与进化计算 · 计算机科学 2020-04-09 Yue Xie , Aneta Neumann , Frank Neumann

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

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…

神经与进化计算 · 计算机科学 2023-05-31 Jakob Bossek , Aneta Neumann , Frank Neumann

The travelling thief problem (TTP) is a well-known multi-component optimisation problem that captures the interdependence between two components: the tour across cities and the packing of items. The packing while travelling problem (PWT) is…

神经与进化计算 · 计算机科学 2026-04-16 Thilina Pathirage Don , Aneta Neumann , Frank Neumann

This paper explores the enhancement of solution diversity in evolutionary algorithms (EAs) for the maximum matching problem, concentrating on complete bipartite graphs and paths. We adopt binary string encoding for matchings and use Hamming…

神经与进化计算 · 计算机科学 2024-04-19 Jonathan Gadea Harder , Aneta Neumann , Frank Neumann
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