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A travelling thief problem (TTP) is a proxy to real-life problems such as postal collection. TTP comprises an entanglement of a travelling salesman problem (TSP) and a knapsack problem (KP) since items of KP are scattered over cities of…

人工智能 · 计算机科学 2023-11-01 Majid Namazi , M. A. Hakim Newton , Conrad Sanderson , Abdul Sattar

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…

人工智能 · 计算机科学 2023-03-01 Majid Namazi , Conrad Sanderson , M. A. Hakim Newton , Abdul Sattar

The Travelling Thief Problem (TTP) is a challenging combinatorial optimization problem that attracts many scholars. The TTP interconnects two well-known NP-hard problems: the Travelling Salesman Problem (TSP) and the 0-1 Knapsack Problem…

人工智能 · 计算机科学 2020-12-17 Lei Yang , Zitong Zhang , Xiaotian Jia , Peipei Kang , Wensheng Zhang , Dongya Wang

The Traveling Salesperson Problem (TSP) is one of the best-known combinatorial optimisation problems. However, many real-world problems are composed of several interacting components. The Traveling Thief Problem (TTP) addresses such…

神经与进化计算 · 计算机科学 2020-06-08 Jakob Bossek , Aneta Neumann , Frank Neumann

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

数据结构与算法 · 计算机科学 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

In real-world optimisation, it is common to face several sub-problems interacting and forming the main problem. There is an inter-dependency between the sub-problems, making it impossible to solve such a problem by focusing on only one…

神经与进化计算 · 计算机科学 2023-01-05 Adel Nikfarjam , Aneta Neumann , Frank Neumann

In this paper, we propose a method to solve a bi-objective variant of the well-studied Traveling Thief Problem (TTP). The TTP is a multi-component problem that combines two classic combinatorial problems: Traveling Salesman Problem (TSP)…

神经与进化计算 · 计算机科学 2020-07-29 Jonatas B. C. Chagas , Julian Blank , Markus Wagner , Marcone J. F. Souza , Kalyanmoy Deb

We tackle the Thief Orienteering Problem (ThOP), an academic multi-component problem that combines two classical combinatorial problems, namely the Knapsack Problem and the Orienteering Problem. In the ThOP, a thief has a time limit to…

神经与进化计算 · 计算机科学 2021-10-28 Jonatas B. C. Chagas , Markus Wagner

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…

人工智能 · 计算机科学 2016-03-25 Mohamed El Yafrani , Belaïd Ahiod

Investigation of detailed and complex optimisation problem formulations that reflect realistic scenarios is a burgeoning field of research. A growing body of work exists for the Travelling Thief Problem, including multi-objective…

神经与进化计算 · 计算机科学 2020-02-10 Daniel Herring , Michael Kirley , Xin Yao

While traditional optimization problems were often studied in isolation, many real-world problems today require interdependence among multiple optimization components. The traveling thief problem (TTP) is a multi-component problem that has…

神经与进化计算 · 计算机科学 2026-04-09 Helen Yuliana Angmalisang , 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

Many real-world optimization problems have multiple interacting components. Each of these can be NP-hard and they can be in conflict with each other, i.e., the optimal solution for one component does not necessarily represent an optimal…

神经与进化计算 · 计算机科学 2021-09-13 Jonatas B. C. Chagas , Markus Wagner

Many evolutionary and constructive heuristic approaches have been introduced in order to solve the Traveling Thief Problem (TTP). However, the accuracy of such approaches is unknown due to their inability to find global optima. In this…

数据结构与算法 · 计算机科学 2017-08-02 Junhua Wu , Markus Wagner , Sergey Polyakovskiy , Frank Neumann

Many real-world problems are composed of several interacting components. In order to facilitate research on such interactions, the Traveling Thief Problem (TTP) was created in 2013 as the combination of two well-understood combinatorial…

人工智能 · 计算机科学 2016-09-05 Markus Wagner , Marius Lindauer , Mustafa Misir , Samadhi Nallaperuma , Frank Hutter

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

There has been a growing interest in the evolutionary computation community to compute a diverse set of high-quality solutions for a given optimisation problem. This can provide the practitioners with invaluable information about the…

神经与进化计算 · 计算机科学 2022-04-07 Adel Nikfarjam , Aneta Neumann , Frank Neumann

TSP (Traveling Salesman Problem), a classic NP-complete problem in combinatorial optimization, is of great significance in multiple fields. Exact algorithms for TSP are not practical due to their exponential time cost. Thus, approximate…

数据结构与算法 · 计算机科学 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

Since its inception in 2013, the Travelling Thief Problem (TTP) has been widely studied as an example of problems with multiple interconnected sub-problems. The dependency in this model arises when tying the travelling time of the "thief"…

The Thief Orienteering Problem (ThOP) is a multi-component problem that combines features of two classic combinatorial optimization problems: Orienteering Problem and Knapsack Problem. The ThOP is challenging due to the given time…

人工智能 · 计算机科学 2020-09-01 Jonatas B. C. Chagas , Markus Wagner
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