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This paper proposes a new formulation for the school bus scheduling problem (SBSP) which optimizes school start times and bus operation times to minimize transportation cost. Our goal is to minimize the number of buses to serve all bus…

Optimization and Control · Mathematics 2020-08-04 Liwei Zeng , Sunil Chopra , Karen Smilowitz

Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

Data Structures and Algorithms · Computer Science 2011-01-21 Greg N. Frederickson , Barry Wittman

In this paper, we study the problem of optimal multi-robot path planning (MPP) on graphs. We propose two multiflow based integer linear programming (ILP) models that computes minimum last arrival time and minimum total distance solutions…

Robotics · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

Multi-agent path finding (MAPF) is the problem of moving agents to the goal vertex without collision. In the online MAPF problem, new agents may be added to the environment at any time, and the current agents have no information about…

Multiagent Systems · Computer Science 2023-01-12 Mingkai Tang , Boyi Liu , Yuanhang Li , Hongji Liu , Ming Liu , Lujia Wang

We consider the a priori traveling repairman problem, which is a stochastic version of the classic traveling repairman problem (also called the traveling deliveryman or minimum latency problem). Given a metric $(V,d)$ with a root $r\in V$,…

Data Structures and Algorithms · Computer Science 2019-01-23 Inge Li Gørtz , Viswanath Nagarajan , Fatemeh Navidi

The \textit{Multi-Constraint Shortest Path (MCSP)} problem aims to find the shortest path between two nodes in a network subject to a given constraint set. It is typically processed as a \textit{skyline path} problem. However, the number of…

Data Structures and Algorithms · Computer Science 2021-09-10 Ziyi Liu , Lei Li , Mengxuan Zhang , Wen Hua , Xiaofang Zhou

The Trigger Arc Traveling Salesman Problem (TA-TSP) extends the classical TSP by introducing dynamic arc costs that change when specific "trigger" arcs are traversed, modeling scenarios such as warehouse operations with compactable storage…

Artificial Intelligence · Computer Science 2025-10-08 Joan Salvà Soler , Grégoire de Lambertye

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

Artificial Intelligence · Computer Science 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

Soft Condensed Matter · Physics 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

In this paper we consider the Recoverable Traveling Salesman Problem (TSP). Here the task is to find two tours simultaneously, such that the intersection between the tours is at least a given minimum size, while the sum of travel distances…

Data Structures and Algorithms · Computer Science 2021-11-19 Marc Goerigk , Stefan Lendl , Lasse Wulf

In this work we compare several new computational approaches to an inventory routing problem, in which a single product is shipped from a warehouse to retailers via an uncapacitated vehicle. We survey exact algorithms for the Traveling…

Optimization and Control · Mathematics 2020-07-30 Yasemin Malli , Marco Laumanns , Roberto Rossi , Steven Prestwich , S. Armagan Tarim

In this paper we address the optimal planning of autonomous teams for general purpose tasks including a wide spectrum of situations: from project management of human teams to the coordination of an automated assembly lines, focusing in the…

Systems and Control · Electrical Eng. & Systems 2024-11-07 Antonio Sojo , Iván Maza , Aníbal Ollero

Public transit systems in urban areas usually require large state subsidies, primarily due to high fare evasion rates. In this paper, we study new models for optimizing fare inspection strategies in transit networks based on bilevel…

Computer Science and Game Theory · Computer Science 2014-05-13 José R. Correa , Tobias Harks , Vincent J. C. Kreuzen , Jannik Matuschke

The main goal of this paper is to time-effectively route and schedule a fleet of Electric Vehicles (EVs) on a road network in order to serve a set of customers. In particular, we aim to propose an optimized route planning by exploiting the…

Optimization and Control · Mathematics 2015-06-02 Maurizio Bruglieri , Ferdinando Pezzella , Ornella Pisacane , Stefano Suraci

The Moving Target Vehicle Routing Problem (MT-VRP) seeks trajectories for several agents that intercept a set of moving targets, subject to speed, time window, and capacity constraints. We introduce an exact algorithm, Branch-and-Price with…

Robotics · Computer Science 2026-04-20 Anoop Bhat , Geordan Gutow , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Multi-Agent Pathfinding (MAPF) is the problem of finding paths for multiple agents such that every agent reaches its goal and the agents do not collide. Most prior work on MAPF was on grids, assumed agents' actions have uniform duration,…

Artificial Intelligence · Computer Science 2019-06-17 Anton Andreychuk , Konstantin Yakovlev , Dor Atzmon , Roni Stern

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

Safe-interval path planning (SIPP) is a powerful algorithm for finding a path in the presence of dynamic obstacles. SIPP returns provably optimal solutions. However, in many practical applications of SIPP such as path planning for robots,…

Artificial Intelligence · Computer Science 2020-06-03 Konstantin Yakovlev , Anton Andreychuk , Roni Stern

Recent studies and industry advancements indicate that modular vehicles (MVs) have the potential to enhance transportation systems through their ability to dock and split during a trip. Although various applications of MVs have been…

Optimization and Control · Mathematics 2025-03-17 Hang Zhou , Yang Li , Chengyuan Ma , Keke Long , Xiaopeng Li

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