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A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle…

Discrete Mathematics · Computer Science 2016-06-10 Angelo Fanelli , Gianluigi Greco

The Dynamic Pickup and Delivery Problem (DPDP) is aimed at dynamically scheduling vehicles among multiple sites in order to minimize the cost when delivery orders are not known a priori. Although DPDP plays an important role in modern…

Artificial Intelligence · Computer Science 2021-05-28 Xijun Li , Weilin Luo , Mingxuan Yuan , Jun Wang , Jiawen Lu , Jie Wang , Jinhu Lu , Jia Zeng

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

Data Structures and Algorithms · Computer Science 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

Robotics · Computer Science 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

Agricultural environments present high proportions of spatially dense navigation bottlenecks for long-term navigation and operational planning of agricultural mobile robots. The existing agent-centric multi-robot path planning (MRPP)…

Robotics · Computer Science 2026-03-16 James R. Heselden , Gautham P. Das

We study ROUND-UFP and ROUND-SAP, two generalizations of the classical BIN PACKING problem that correspond to the unsplittable flow problem on a path (UFP) and the storage allocation problem (SAP), respectively. We are given a path with…

Data Structures and Algorithms · Computer Science 2022-02-09 Debajyoti Kar , Arindam Khan , Andreas Wiese

This paper considers a generalization of the Path Finding (PF) problem with refuelling constraints referred to as the Gas Station Problem (GSP). Similar to PF, given a graph where vertices are gas stations with known fuel prices, and edge…

Robotics · Computer Science 2025-02-25 Shizhe Zhao , Anushtup Nandy , Howie Choset , Sivakumar Rathinam , Zhongqiang Ren

When planning transportation whose operation requires non-consumable resources, the peak demand for allocated resources is often of higher interest than the duration of resource usage. For instance, it is more cost-effective to deliver…

Data Structures and Algorithms · Computer Science 2025-07-16 Mariia Anapolska , Emma Ahrens , Christina Büsing , Felix Engelhardt , Timo Gersing , Corinna Mathwieser , Sabrian Schmitz , Sophia Wrede

We study a stochastic variant of the vehicle routing problem arising in the context of domestic donor collection services. The problem we consider combines the following attributes. Customers requesting services are variable, in the sense…

Optimization and Control · Mathematics 2022-07-15 Mohsen Dastpak , Fausto Errico , Ola Jabali

Challenges in last-mile delivery have encouraged innovative solutions like crowdsourced delivery, where online platforms leverage the services of drivers who occasionally perform delivery tasks for compensation. A key challenge is that…

Optimization and Control · Mathematics 2026-03-23 Alim Buğra Çınar , Claudia Archetti , Wout Dullaert , Markus Leitner , Stefan Waldherr

The nonlinear filtering problem is concerned with finding the conditional probability distribution (posterior) of the state of a stochastic dynamical system, given a history of partial and noisy observations. This paper presents a…

Optimization and Control · Mathematics 2024-03-26 Mohammad Al-Jarrah , Bamdad Hosseini , Amirhossein Taghvaei

The load pick-up (LPP) problem searches the optimal configuration of the electrical distribution system (EDS), aiming to minimize the power loss or provide maximum power to the load ends. The piecewise linearization (PWL) approximation…

Optimization and Control · Mathematics 2018-11-27 Jingyang Yun , Yun Zhou , Weidong Hu , Peichao Zhang , Zheng Yan , Donghan Feng

This paper develops a computationally efficient algorithm for the Multiple Vehicle Pickup and Delivery Problem (MVPDP) with the objective of minimizing the tour cost incurred while completing the task of pickup and delivery of customers. To…

Optimization and Control · Mathematics 2018-05-15 Jinsun Liu , Hyongju Park , Matthew Johnson-Roberson , Ram Vasudevan

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

Data Structures and Algorithms · Computer Science 2013-11-26 Zachary Friggstad , Chaitanya Swamy

Both pedestrian and robot comfort are of the highest priority whenever a robot is placed in an environment containing human beings. In the case of pedestrian-unaware mobile robots this desire for safety leads to the freezing robot problem,…

Robotics · Computer Science 2022-06-03 Emily Pruc , Shlomo Zilberstein , Joydeep Biswas

In this study we consider the shortest path problem, where the arc costs are subject to distributional uncertainty. Basically, the decision-maker attempts to minimize her worst-case expected loss over an ambiguity set (or a family) of…

Optimization and Control · Mathematics 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

Ride-hailing services, such as Didi Chuxing, Lyft, and Uber, arrange thousands of cars to meet ride requests throughout the day. We consider a Markov decision process (MDP) model of a ride-hailing service system, framing it as a…

Optimization and Control · Mathematics 2021-04-30 Jiekun Feng , Mark Gluzman , J. G. Dai

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

The problem of mobile sequential recommendation is presented to suggest a route connecting some pick-up points for a taxi driver so that he/she is more likely to get passengers with less travel cost. Essentially, a key challenge of this…

Data Structures and Algorithms · Computer Science 2013-04-09 Jianbin Huang , Xuejun Huangfu , Heli Sun , Hong Cheng , Qinbao Song

In this paper, a learning-based optimal transportation algorithm for autonomous taxis and ridesharing vehicles is presented. The goal is to design a mechanism to solve the routing problem for multiple autonomous vehicles and multiple…

Optimization and Control · Mathematics 2020-05-06 Salar Rahili , Benjamin Riviere , Soon-Jo Chung