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Given a network, allocating resources at clusters level, rather than at each node, enhances efficiency in resource allocation and usage. In this paper, we study the problem of finding fully connected disjoint clusters to minimize the…

Machine Learning · Computer Science 2024-02-16 Benedikt Schesch , Marco Caserta

In this paper we study a dynamic vehicle routing problem in which there are multiple vehicles and multiple classes of demands. Demands of each class arrive in the environment randomly over time and require a random amount of on-site service…

Robotics · Computer Science 2009-03-17 Marco Pavone , Stephen L. Smith , Francesco Bullo , Emilio Frazzoli

We study the problem of deploying a fleet of mobile robots to service tasks that arrive stochastically over time and at random locations in an environment. This is known as the Dynamic Vehicle Routing Problem (DVRP) and requires robots to…

The traveling-salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We study the traveling salesman problem when the positions of the…

Disordered Systems and Neural Networks · Physics 2019-10-18 Sergio Caracciolo , Andrea Di Gioacchino , Enrico M. Malatesta , Carlo Vanoni

We extend a previous statistical mechanical treatment of the traveling salesman problem by defining a discrete "site disordered'' problem in which fluctuations about saddle points can be computed. The results clarify the basis of our…

Disordered Systems and Neural Networks · Physics 2009-11-13 David S. Dean , David Lancaster

Given a graph whose arc traversal times vary over time, the Time-Dependent Travelling Salesman Problem consists in finding a Hamiltonian tour of least total duration covering the vertices of the graph. The main goal of this work is to…

Artificial Intelligence · Computer Science 2023-01-05 Tommaso Adamo , Gianpaolo Ghiani , Pierpaolo Greco , Emanuela Guerriero

We study how an e-commerce firm should make real-time fulfillment decisions in a two-layer distribution network when multi-item customer orders arrive sequentially and future demand is unknown. The central managerial tension is whether to…

Machine Learning · Computer Science 2026-05-26 Xi Chen , Yuze Chen , Ziyi Chen , Yuan Zhou

Mobile manipulators have gained attention for the potential in performing large-scale tasks which are beyond the reach of fixed-base manipulators. The Robotic Task Sequencing Problem for mobile manipulators often requires optimizing the…

Robotics · Computer Science 2023-10-03 Quang-Nam Nguyen , Nicholas Adrian , Quang-Cuong Pham

This paper introduces a new generic problem to the literature of Workforce Scheduling and Routing Problem. In this problem, multiple workers are assigned to a shared vehicle based on their qualifications and customer demands, and then the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Ömer Öztürkoğlu , Gökberk Özsakallı

Resolution of incidents or problem tickets is a common theme in service industries in any sector, including billing and charging systems in telecom domain. Machine learning can help to identify patterns and suggest resolutions for the…

Machine Learning · Computer Science 2025-07-30 Harish Saragadam , Chetana K Nayak , Joy Bose

In this paper, we present formulations and an exact method to solve the Time Dependent Traveling Salesman Problem with Time Window (TD-TSPTW) under a generic travel cost function where waiting is allowed. A particular case in which the…

Discrete Mathematics · Computer Science 2023-11-15 Duc Minh Vu , Mike Hewitt , Duc Duy Vu

Resource allocation problems in which demand is splittable are usually solved using different solution methods from their unsplittable equivalents. Although splittable problem instances can be the easier of the two (for example, they might…

Data Structures and Algorithms · Computer Science 2025-05-16 Bo Jones , Julien Yu , John Gunnar Carlsson

In this paper, we investigate the problem of a last-mile delivery service that selects up to $N$ available vehicles to deliver $M$ packages from a centralized depot to $M$ delivery locations. The objective of the last-mile delivery service…

Multiagent Systems · Computer Science 2023-01-05 Meera Ratnagiri , Clare O'Dwyer , Logan E. Beaver , Heeseung Bang , Behdad Chalaki , Andreas A. Malikopoulos

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

Fixed pickup and delivery times can strongly limit the performance of freight transportation. Against this backdrop, fleet operators can use compensation mechanisms such as monetary incentives to buy delay time from their customers, in…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Canqi Yao , Shibo Chen , Mauro Salazar , Zaiyue Yang

Surveillance applications require a collection of heterogeneous vehicles to visit a set of targets. In this article, we consider a fundamental routing problem that arises in these applications involving two vehicles. Specifically, we…

Discrete Mathematics · Computer Science 2015-03-19 Jungyun Bae , Sivakumar Rathinam

We study the statistical mechanics of a class of problems whose phase space is the set of permutations of an ensemble of quenched random positions. Specific examples analyzed are the finite temperature traveling salesman problem on several…

Disordered Systems and Neural Networks · Physics 2009-11-11 David S. Dean , David Lancaster , Satya. N. Majumdar

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

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

In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

Robotics · Computer Science 2007-05-23 Ketan Savla , Francesco Bullo , Emilio Frazzoli