A survey of the stable marriage problem and its variants
K Iwama, S Miyazaki - International conference on informatics …, 2008 - ieeexplore.ieee.org
The stable marriage problem is to find a matching between men and women, considering
preference lists in which each person expresses his/her preference over the members of the …
preference lists in which each person expresses his/her preference over the members of the …
Geometric stable roommates
We consider instances of the Stable Roommates problem that arise from geometric
representation of participants' preferences: a participant is a point in a metric space, and his …
representation of participants' preferences: a participant is a point in a metric space, and his …
Multidimensional stable roommates with master list
R Bredereck, K Heeger, D Knop… - … Conference on Web and …, 2020 - Springer
Since the early days of research in algorithms and complexity, the computation of stable
matchings is a core topic. While in the classic setting the goal is to match up two agents …
matchings is a core topic. While in the classic setting the goal is to match up two agents …
The three-dimensional stable roommates problem with additively separable preferences
Abstract The Stable Roommates problem involves matching a set of agents into pairs based
on the agents' strict ordinal preference lists. The matching must be stable, meaning that no …
on the agents' strict ordinal preference lists. The matching must be stable, meaning that no …
Stable roommate problem with diversity preferences
In the multidimensional stable roommate problem, agents have to be allocated to rooms and
have preferences over sets of potential roommates. We study the complexity of finding good …
have preferences over sets of potential roommates. We study the complexity of finding good …
Multi-dimensional stable roommates in 2-dimensional Euclidean space
J Chen, S Roy - arXiv preprint arXiv:2108.03868, 2021 - arxiv.org
We investigate the Euclidean $ d $-Dimensional Stable Roommates problem, which asks
whether a given set~ $ V $ of $ d\cdot n $ points from the 2-dimensional Euclidean space …
whether a given set~ $ V $ of $ d\cdot n $ points from the 2-dimensional Euclidean space …
Optimum versus Nash-equilibrium in taxi ridesharing
Abstract In recent years, Transportation Network Companies (TNC) such as Uber and Lyft
have embraced ridesharing: a passenger who requests a ride may decide to save money in …
have embraced ridesharing: a passenger who requests a ride may decide to save money in …
A roommate problem and room allocation in dormitories using mathematical modeling and multi-attribute decision-making techniques
A Khalili-Fard, R Tavakkoli-Moghaddam… - Journal of Modelling in …, 2024 - emerald.com
Purpose In recent decades, the student population in dormitories has increased notably,
primarily attributed to the growing number of international students. Dormitories serve as …
primarily attributed to the growing number of international students. Dormitories serve as …
Solving the team composition problem in a classroom
F Manyà, S Negrete, C Roig… - Fundamenta …, 2020 - content.iospress.com
Given a classroom containing a fixed number of students and a fixed number of tables that
can be of different sizes, as well as a list of preferred classmates to sit with for each student …
can be of different sizes, as well as a list of preferred classmates to sit with for each student …
Envy-freeness in 3D hedonic games
We study the problem of fairly partitioning a set of agents into coalitions based on the agents'
additively separable preferences, which can also be viewed as a hedonic game. We study …
additively separable preferences, which can also be viewed as a hedonic game. We study …