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For integers $n, D, q$ we define a two player perfect information game with no chance moves called the Waiter-Client Maximum Degree game. In this game, two players (Waiter and Client) play on the edges of $K_n$ as follows: in each round,…

Combinatorics · Mathematics 2018-07-31 Michael Krivelevich , Nadav Trumer

There are 134,459 distinct initial hands at the video poker game Jacks or Better, taking suit exchangeability into account. A computer program can determine the optimal strategy (i.e., which cards to hold) for each such hand, but a complete…

Optimization and Control · Mathematics 2020-02-24 S. N. Ethier , John Jungtae Kim , Jiyeon Lee

We consider an online version of a longest path problem in an undirected and planar graph that is motivated by a location and routing problem occurring in the board game "Turn & Taxis". Path extensions have to be selected based on only…

Optimization and Control · Mathematics 2023-05-23 Konstantin Kraus , Kathrin Klamroth , Michael Stiglmayr

In this paper we present matrix game-theoretic models for joint routing, network coding, and scheduling problem. First routing and network coding are modeled by using a new approach based on compressed topology matrix that takes into…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Ebrahim Karami , Savo Glisic

We consider the charge scheduling coordination of a fleet of plug-in electric vehicles, developing a hybrid decision-making framework for efficient and profitable usage of the distribution grid. Each charging dynamics, affected by the…

Optimization and Control · Mathematics 2019-10-24 Carlo Cenedese , Filippo Fabiani , Michele Cucuzzella , Jacquelien M. A. Scherpen , Ming Cao , Sergio Grammatico

We present a new approach to solving games with a countably or uncountably infinite number of players. Such games are often used to model multiagent systems with a large number of agents. The latter are frequently encountered in economics,…

Computer Science and Game Theory · Computer Science 2025-01-17 Carlos Martin , Tuomas Sandholm

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

This paper extends our previous work in [1],[2], on optimal scheduling of autonomous vehicle arrivals at intersections, from one to a grid of intersections. A scalable distributed Mixed Integer Linear Program (MILP) is devised that solves…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Faraz Ashtiani , S. Alireza Fayazi , Ardalan Vahidi

In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

Optimization and Control · Mathematics 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

Routing games are one of the most successful domains of application of game theory. It is well understood that simple dynamics converge to equilibria, whose performance is nearly optimal regardless of the size of the network or the number…

Computer Science and Game Theory · Computer Science 2017-03-08 Barnabé Monnot , Francisco Benita , Georgios Piliouras

We present approximation algorithms for almost all variants of the multi-criteria traveling salesman problem (TSP). First, we devise randomized approximation algorithms for multi-criteria maximum traveling salesman problems (Max-TSP). For…

Data Structures and Algorithms · Computer Science 2011-07-14 Bodo Manthey

Freight train services in a railway network system are generally divided into two categories: one is the unscheduled train, whose operating frequency fluctuates with origin-destination (OD) demands; the other is the scheduled train, which…

Artificial Intelligence · Computer Science 2018-11-21 Boliang Lin

The evolution of existing transportation systems,mainly driven by urbanization and increased availability of mobility options, such as private, profit-maximizing ride-hailing companies, calls for tools to reason about their design and…

Travel time or speed estimation are part of many intelligent transportation applications. Existing estimation approaches rely on either function fitting or aggregation and represent different trade-offs between generalizability and…

Machine Learning · Computer Science 2021-04-28 Tobias Skovgaard Jepsen , Christian S. Jensen , Thomas Dyhre Nielsen

We study a setting where tickets for an experience are allocated by lottery. Each agent belongs to a group, and a group is successful if and only if its members receive enough tickets for everyone. A lottery is efficient if it maximizes the…

Computer Science and Game Theory · Computer Science 2022-05-24 Nick Arnosti , Carlos Bonet

The recently presented idea to learn heuristics for combinatorial optimization problems is promising as it can save costly development. However, to push this idea towards practical implementation, we need better models and better ways of…

Machine Learning · Statistics 2019-02-08 Wouter Kool , Herke van Hoof , Max Welling

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

Global infrastructure robustness and local transport efficiency are critical requirements for transportation networks. However, since passengers often travel greedily to maximize their own benefit and trigger traffic jams, overall…

Adaptation and Self-Organizing Systems · Physics 2024-01-09 Alessandro Lonardi , Caterina De Bacco

Train marshalling is the process of reordering the railcars of a train in such a way that the railcars with the same destination appear consecutively in the final, reassembled train. The process takes place in the shunting yard by means of…

Data Structures and Algorithms · Computer Science 2020-08-10 Hossein Falsafain , Mohammad Tamannaei

In this article, a heuristic is proposed for a min-max heterogeneous multi-vehicle multi-depot traveling salesman problem (TSP), wherein heterogeneous vehicles start from given depot positions and need to cover a given set of targets. The…

Optimization and Control · Mathematics 2024-01-01 Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl