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This study examines the computational complexity of the decision problem modeled on the smartphone game Bus Out. The objective of the game is to load all the passengers in a queue onto appropriate buses using a limited number of bus parking…

Computational Complexity · Computer Science 2025-05-15 Takehiro Ishibashi , Ryo Yoshinaka , Ayumi Shinohara

For a given polygonal region $P$, the Lawn Mowing Problem (LMP) asks for a shortest tour $T$ that gets within Euclidean distance 1/2 of every point in $P$; this is equivalent to computing a shortest tour for a unit-diameter cutter $C$ that…

Computational Geometry · Computer Science 2023-07-04 Sándor P. Fekete , Dominik Krupke , Michael Perk , Christian Rieck , Christian Scheffer

We introduce the Constrained Least-cost Tour (CLT) problem: given an undirected graph with weight and cost functions on the edges, minimise the total cost of a tour rooted at a start vertex such that the total weight lies within a given…

Data Structures and Algorithms · Computer Science 2019-06-20 Patrick O'Hara , M. S. Ramanujan , Theodoros Damoulas

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…

Data Structures and Algorithms · Computer Science 2017-02-20 Frank Neumann , Sergey Polyakovskiy , Martin Skutella , Leen Stougie , Junhua Wu

The Traveling Salesman Problem is one of the most intensively studied combinatorial optimization problems due both to its range of real-world applications and its computational complexity. When combined with the Set Covering Problem, it…

Machine Learning · Computer Science 2020-07-08 Yuwen Yang , Jayant Rajgopal

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…

Neural and Evolutionary Computing · Computer Science 2020-06-08 Jakob Bossek , Aneta Neumann , Frank Neumann

In public transport networks disruptions may occur and lead to travel delays. It is thus interesting to determine whether a traveler can be resilient to delays that occur unexpectedly, ensuring that they can reach their destination in time…

Computational Complexity · Computer Science 2023-08-24 Thomas Depian , Christoph Kern , Sebastian Röder , Soeren Terziadis , Markus Wallinger

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…

Artificial Intelligence · Computer Science 2020-12-17 Lei Yang , Zitong Zhang , Xiaotian Jia , Peipei Kang , Wensheng Zhang , Dongya Wang

Tournament solutions provide methods for selecting the "best" alternatives from a tournament and have found applications in a wide range of areas. Previous work has shown that several well-known tournament solutions almost never rule out…

Computer Science and Game Theory · Computer Science 2020-02-18 Christian Saile , Warut Suksompong

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

Computer Science and Game Theory · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

For a fixed finite set of finite tournaments ${\mathcal F}$, the ${\mathcal F}$-free orientation problem asks whether a given finite undirected graph $G$ has an $\mathcal F$-free orientation, i.e., whether the edges of $G$ can be oriented…

Combinatorics · Mathematics 2024-09-02 Manuel Bodirsky , Santiago Guzmán-Pro

A knockout tournament is one of the most simple and popular forms of competition. Here, we are given a binary tournament tree where all leaves are labeled with seed position names. The players participating in the tournament are assigned to…

Discrete Mathematics · Computer Science 2025-06-05 Klim Efremenko , Hendrik Molter , Meirav Zehavi

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

We consider election scenarios with incomplete information, a situation that arises often in practice. There are several models of incomplete information and accordingly, different notions of outcomes of such elections. In one well-studied…

Computer Science and Game Theory · Computer Science 2016-10-27 Palash Dey , Neeldhara Misra

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…

Data Structures and Algorithms · Computer Science 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

We consider a matching problem, which is meaningful in team competitions, as well as in information theory, recommender systems, and assignment problems. In the competitions which we study, each competitor in a team order plays a match with…

Computer Science and Game Theory · Computer Science 2026-05-21 Haris Aziz , Jiarui Gan , Grzegorz Lisowski , Ali Pourmiri

The orientation completion problem for a class of oriented graphs asks whether a given partially oriented graph can be completed to an oriented graph in the class by orienting the unoriented edges of the partially oriented graph.…

Combinatorics · Mathematics 2022-11-07 Kevin Hsu , Jing Huang

We study a new modification of the Arrival problem, which allows for nodes that exhibit random as well as controlled behaviour, in addition to switching nodes. We study the computational complexity of these extensions, building on existing…

Computational Complexity · Computer Science 2024-09-17 Thomas Webster

We consider a problem of placing generators of rewards to be collected by randomly moving agents in a network. In many settings, the precise mobility pattern may be one of several possible, based on parameters outside our control, such as…

Multiagent Systems · Computer Science 2024-06-04 Petros Petsinis , Kaichen Zhang , Andreas Pavlogiannis , Jingbo Zhou , Panagiotis Karras

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…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Helen Yuliana Angmalisang , Frank Neumann