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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…

Data Structures and Algorithms · Computer Science 2010-07-06 Glenn Langford

The Traveling Tournament Problem is a sports-scheduling problem where the goal is to minimize the total travel distance of teams playing a double round-robin tournament. The constraint 'k' is an imposed upper bound on the number of…

Computational Complexity · Computer Science 2021-10-07 Diptendu Chatterjee

The Traveling Tournament Problem (TTP) is a hard but interesting sports scheduling problem inspired by Major League Baseball, which is to design a double round-robin schedule such that each pair of teams plays one game in each other's home…

Data Structures and Algorithms · Computer Science 2022-12-26 Jingyang Zhao , Mingyu Xiao

A sport tournament problem is considered the Traveling Tournament Problem (TTP). One interesting type is the mirrored Traveling Tournament Problem (mTTP). The objective of the problem is to minimize either the total number of traveling or…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Tinnaluk Rutjanisarakul , Thiradet Jiarasuksakun

The Traveling Tournament Problem (TTP) is a hard but interesting sports scheduling problem inspired by Major League Baseball, which is to design a double round-robin schedule such that each pair of teams plays one game in each other's home…

Data Structures and Algorithms · Computer Science 2021-08-31 Jingyang Zhao , Mingyu Xiao

The Traveling Tournament Problem (TTP-$k$) is a well-known benchmark problem in tournament timetabling, which asks us to design a double round-robin schedule such that the total traveling distance of all $n$ teams is minimized under the…

Data Structures and Algorithms · Computer Science 2023-09-06 Jingyang Zhao , Mingyu Xiao

The Traveling Tournament Problem (TTP) is a well-known benchmark problem in the field of tournament timetabling, which asks us to design a double round-robin schedule such that each pair of teams plays one game in each other's home venue,…

Data Structures and Algorithms · Computer Science 2024-04-18 Jingyang Zhao , Mingyu Xiao , Chao Xu

We present a new problem called the incomplete Traveling Tournament problem, which introduces the well known Traveling Tournament Problem into the realm of incomplete round-robin tournaments. We focus on the case where teams can face each…

Optimization and Control · Mathematics 2026-03-23 Karel Devriesere , David Van Bulck , Dries Goossens

The Traveling Tournament Problem (TTP-$k$) is a well-known benchmark problem in sports scheduling, which asks us to design a double round-robin schedule such that each pair of teams plays one game in each other's home venue, no pair of…

Data Structures and Algorithms · Computer Science 2025-05-29 Jingyang Zhao , Mingyu Xiao

The traveling tournament problem (TTP) is to minimize the total traveling distance of all teams in a double round-robin tournament. In this paper, we focus on TTP-2, in which each team plays at most two consecutive home games and at most…

Data Structures and Algorithms · Computer Science 2024-03-01 Yuga Kanaya , Kenjiro Takazawa

In some domestic professional sports leagues, the home stadiums are located in cities connected by a common train line running in one direction. For these instances, we can incorporate this geographical information to determine optimal or…

Artificial Intelligence · Computer Science 2014-01-24 Richard Hoshino , Ken-ichi Kawarabayashi

The traveling tournament problem is a well-known benchmark problem of the sports scheduling. We propose an approximation algorithm for the traveling tournament problem with the constraints such that both the number of consecutive home games…

Data Structures and Algorithms · Computer Science 2021-08-20 Shinji Imahori

In many professional sports leagues, teams from opposing leagues/conferences compete against one another, playing inter-league games. This is an example of a bipartite tournament. In this paper, we consider the problem of reducing the total…

Artificial Intelligence · Computer Science 2014-01-17 Richard Hoshino , Ken-ichi Kawarabayashi

The Traveling Tournament Problem (TTP) is a benchmark problem in sports scheduling and has been extensively studied in recent years. The Mirrored Traveling Tournament Problem (mTTP) is variation of the TTP that represents certain types of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-12 Vijay Menon , Saurabh Jha

The bipartite traveling tournament problem (BTTP) addresses inter-league sports scheduling, which aims to design a feasible bipartite tournament between two $n$-team leagues under some constraints such that the total traveling distance of…

Data Structures and Algorithms · Computer Science 2025-05-13 Jingyang Zhao , Mingyu Xiao

We study the so-called the traveling tournament problem (TTP), to find an optimal tournament schedule. Differently from the original TTP, in which the total travel distance of all the participants is the objective function to minimize, we…

Physics and Society · Physics 2012-08-13 Hyang Min Jeong , Sang-Woo Kim , Aaram J. Kim , Younguk Choi , Jonghyoun Eun , Beom Jun Kim

A 2.75-approximation algorithm is proposed for the unconstrained traveling tournament problem, which is a variant of the traveling tournament problem. For the unconstrained traveling tournament problem, this is the first proposal of an…

Data Structures and Algorithms · Computer Science 2016-01-15 Shinji Imahori , Tomomi Matsui , Ryuhei Miyashiro

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…

Artificial Intelligence · Computer Science 2016-09-05 Markus Wagner , Marius Lindauer , Mustafa Misir , Samadhi Nallaperuma , Frank Hutter

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…

Data Structures and Algorithms · Computer Science 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

Constructing a suitable schedule for sports competitions is a crucial issue in sports scheduling. The round-robin tournament is a competition adopted in many professional sports. For most round-robin tournaments, it is considered…

Discrete Mathematics · Computer Science 2024-11-26 Koichi Fujii , Tomomi Matsui
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