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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

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

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

Robotics · Computer Science 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

We formalize Multi-Agent Path Finding with Deadlines (MAPF-DL). The objective is to maximize the number of agents that can reach their given goal vertices from their given start vertices within the deadline, without colliding with each…

Artificial Intelligence · Computer Science 2018-06-13 Hang Ma , Glenn Wagner , Ariel Felner , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

The Tail Assignment Problem (TAP) is a critical optimization challenge in airline operations, requiring the optimal assignment of aircraft to scheduled flights to maximize efficiency and minimize costs. To address the TAP, this work applies…

Quantum Physics · Physics 2024-12-18 Marta Gili , Paul San Sebastian , Ane Blázquez-García

Modern aircraft are designed with redundant control effectors to cater for fault tolerance and maneuverability requirements. This leads to aircraft being over-actuated and requires control allocation schemes to distribute the control…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Hafiz Zeeshan Iqbal Khan , Surrayya Mobeen , Jahanzeb Rajput , Jamshed Riaz

We formalize the problem of multi-agent path finding with deadlines (MAPF-DL). The objective is to maximize the number of agents that can reach their given goal vertices from their given start vertices within a given deadline, without…

Artificial Intelligence · Computer Science 2018-05-15 Hang Ma , Glenn Wagner , Ariel Felner , Jiaoyang Li , T. K. Satish Kumar , Sven Koenig

Efficient utilization of cooperating robots in the assembly of aircraft structures relies on balancing the workload of the robots and ensuring collision-free scheduling. We cast this problem as that of allocating a large number of…

The ARRIVAL problem is to decide the fate of a train moving along the edges of a directed graph, according to a simple (deterministic) pseudorandom walk. The problem is in $NP \cap coNP$ but not known to be in $P$. The currently best…

Data Structures and Algorithms · Computer Science 2021-04-12 Bernd Gärtner , Sebastian Haslebacher , Hung P. Hoang

Recently, with the advancement of the GPS-enabled cellular technologies, the location-based services (LBS) have gained in popularity. Nowadays, an increasingly larger number of map-based applications enable users to ask a wider variety of…

Data Structures and Algorithms · Computer Science 2017-06-27 Radi Muhammad Reza , Mohammed Eunus Ali , Muhammad Aamir Cheema

We propose integer-programming formulations for an optimal safety-landing site (SLS) location problem that arises in the design of urban air-transportation networks. We first develop a set-cover based approach for the case where the…

Optimization and Control · Mathematics 2025-07-10 Claudia D'Ambrosio , Marcia Fampa , Jon Lee , Felipe Sinnecker

The aircraft loading optimization problem is a computationally hard problem with the best known classical algorithm scaling exponentially with the number of objects. We propose a quantum approach based on a multi-angle variant of the QAOA…

One of the most important open problems in machine scheduling is the problem of scheduling a set of jobs on unrelated machines to minimize the makespan. The best known approximation algorithm for this problem guarantees an approximation…

Discrete Mathematics · Computer Science 2015-03-17 José Verschae , Andreas Wiese

Avoiding hybrid obstacles in unknown scenarios with an efficient flight strategy is a key challenge for unmanned aerial vehicle applications. In this paper, we introduce a technique to distinguish dynamic obstacles from static ones with…

Robotics · Computer Science 2021-05-17 Han Chen , Peng Lu

In this paper we study a facility location problem in the plane in which a single point (facility) and a rapid transit line (highway) are simultaneously located in order to minimize the total travel time from the clients to the facility,…

Computational Geometry · Computer Science 2012-05-09 José Miguel Díaz-Báñez , Matias Korman , Pablo Pérez-Lantero , Inmaculada Ventura

Consolidation of loose packages into transport units is a fundamental activity offered by logistics service-providers. Moving the transport units instead of loose packages is faster (with one movement only, multiple packages are loaded…

Optimization and Control · Mathematics 2022-10-24 Enrico Angelelli , Claudia Archetti , Lorenzo Peirano

We study the optimization version of the set partition problem (where the difference between the partition sums are minimized), which has numerous applications in decision theory literature. While the set partitioning problem is NP-hard and…

Data Structures and Algorithms · Computer Science 2021-09-13 Kaan Gokcesu , Hakan Gokcesu

An NP-hard problem is considered of intersecting a given set of $n$ straight line segments on the plane with the smallest cardinality set of disks of fixed radii $r>0,$ where the set of segments forms a straight line drawing $G=(V,E)$ of a…

Computational Geometry · Computer Science 2020-10-05 Konstantin Kobylkin

On-time performance is a critical challenge in the airline industry, leading to large operational and customer dissatisfaction costs. The tail assignment problem builds the sequences of flights or routes followed by individual airplanes.…

Optimization and Control · Mathematics 2026-02-12 Léo Baty , Axel Parmentier

We study a novel graph path planning problem for multiple agents that may crash at runtime, and block part of the workspace. In our setting, agents can detect neighboring crashed agents, and change followed paths at runtime. The objective…

Robotics · Computer Science 2022-11-28 Keisuke Okumura , Sébastien Tixeuil