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Related papers: Improved Approximations for Dial-a-Ride Problems

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Ride-sharing is an essential aspect of modern urban mobility. In this paper, we consider a classical problem in ride-sharing - the Multi-Vehicle Dial-a-Ride Problem (Multi-Vehicle DaRP). Given a fleet of vehicles with a fixed capacity…

Data Structures and Algorithms · Computer Science 2023-04-25 Kelin Luo , Alexandre M. Florio , Syamantak Das , Xiangyu Guo

The k-forest problem is a common generalization of both the k-MST and the dense-$k$-subgraph problems. Formally, given a metric space on $n$ vertices $V$, with $m$ demand pairs $\subseteq V \times V$ and a ``target'' $k\le m$, the goal is…

Data Structures and Algorithms · Computer Science 2007-07-05 Anupam Gupta , MohammadTaghi Hajiaghayi , Viswanath Nagarajan , R. Ravi

Dial a ride problems consist of a metric space (denoting travel time between vertices) and a set of m objects represented as source-destination pairs, where each object requires to be moved from its source to destination vertex. We consider…

Data Structures and Algorithms · Computer Science 2011-03-01 Inge Li Goertz , Viswanath Nagarajan , R. Ravi

The Multiple-Depot Split Delivery Vehicle Routing Problem (MD-SDVRP) is a challenging problem with broad applications in logistics. The goal is to serve customers' demand using a fleet of capacitated vehicles located in multiple depots,…

Data Structures and Algorithms · Computer Science 2026-01-06 Jingyang Zhao , Yonghang Su , Mingyu Xiao

Dial-a-Ride problems have been proposed to model the challenge to consolidate passenger transportation requests with a fleet of shared vehicles. The line-based Dial-a-Ride problem (LiDARP) is a variant where the passengers are transported…

Computational Complexity · Computer Science 2026-05-01 Antonio Lauerbach , Kendra Reiter , Marie Schmidt

The paper addresses a variant of the Dial-A-Ride problem with additional features. It is referred to as the DARP with driver preferences, which attempts to determine a solution more driver-oriented by designing a short trip in a specific…

Optimization and Control · Mathematics 2024-06-10 Sana Ouasaid , Mohammed Saddoune

Multi-vehicle routing has become increasingly important with the rapid development of autonomous vehicle technology. Dial-a-ride problem, a variant of vehicle routing problem (VRP), deals with the allocation of customer requests to…

Artificial Intelligence · Computer Science 2018-02-15 Songguang Ho , Sarat Chandra Nagavarapu , Ramesh Ramasamy Pandi , Justin Dauwels

Accurately predicting the real-life performance of algorithms solving the Dial-a-Ride Problem (DARP) in the context of Mobility on Demand (MoD) systems with ridesharing requires evaluating them on representative instances. However, the…

Artificial Intelligence · Computer Science 2023-05-31 David Fiedler , Jan Mrkos

The classic Dial-A-Ride Problem (DARP) aims at designing the minimum-cost routing that accommodates a set of user requests under constraints at an operations planning level, where users' preferences and revenue management are often…

Optimization and Control · Mathematics 2020-11-19 Xiaotong Dong , Joseph YJ Chow , S Travis Waller , David Rey

The Dial-a-Ride Problem (DARP) is an optimization problem that involves determining optimal routes and schedules for several vehicles to pick up and deliver items at minimum cost. Motivated by real-world carpooling and crowdshipping…

Theoretical Economics · Economics 2025-06-24 Boshuai Zhao , Kai Wang , Wenchao Wei , Roel Leus

Ridepooling services play an increasingly important role in modern transportation systems. With soaring demand and growing fleet sizes, the underlying route planning problems become increasingly challenging. In this context, we consider the…

Optimization and Control · Mathematics 2024-10-03 Daniela Gaul , Kathrin Klamroth , Christian Pfeiffer , Arne Schulz , Michael Stiglmayr

Modular vehicles (MV) possess the ability to physically connect/disconnect with each other and travel in platoon with less energy consumption. A fleet of demand-responsive transit vehicles with such technology can serve passengers door to…

Computers and Society · Computer Science 2024-09-04 Zhexi Fu , Joseph Y. J. Chow

In this paper, we present the Electric Mobility Dial-a-Ride Problem (EM-DARP), which extends the Electric Vehicle Dial-a-Ride Problem (EV-DARP) to better accommodate human-focused mobility services. The problem involves utilizing a fleet of…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Mostafa Emam , Björn Martens , Thomas Rottmann , Matthias Gerdts

This paper offers a new algorithm to efficiently optimize scheduling decisions for dial-a-ride problems (DARPs), including problem variants considering electric and autonomous vehicles (e-ADARPs). The scheduling heuristic, based on linear…

Optimization and Control · Mathematics 2023-04-24 Claudia Bongiovanni , Nikolas Geroliminis , Mor Kaspi

In the Online-Dial-a-Ride Problem (OLDARP) a server travels through a metric space to serve requests for rides. We consider a variant where each request specifies a source, destination, release time, and revenue that is earned for serving…

Data Structures and Algorithms · Computer Science 2019-12-16 Ananya Christman , Christine Chung , Nicholas Jaczko , Tianzhi Li , Scott Westvold , Xinyue Xu

Ridepooling services require efficient optimization algorithms to simultaneously plan routes and pool users in shared rides. We consider a static dial-a-ride problem (DARP) where a series of origin-destination requests have to be assigned…

Optimization and Control · Mathematics 2024-07-29 Daniela Gaul , Kathrin Klamroth , Michael Stiglmayr

The Multidepot Capacitated Vehicle Routing Problem (MCVRP) is a well-known variant of the classic Capacitated Vehicle Routing Problem (CVRP), where we need to route capacitated vehicles located in multiple depots to serve customers' demand…

Data Structures and Algorithms · Computer Science 2024-04-18 Jingyang Zhao , Mingyu Xiao

On-demand ridepooling systems offer flexible services pooling multiple passengers into one vehicle, complementing traditional bus services. We propose a transportation system combining the spatial aspects of a fixed sequence of bus stops…

Optimization and Control · Mathematics 2025-09-25 Kendra Reiter , Marie Schmidt , Michael Stiglmayr

The capacitated vehicle routing problem (CVRP) is one of the most extensively studied problems in combinatorial optimization. In this problem, we are given a depot and a set of customers, each with a demand, embedded in a metric space. The…

Data Structures and Algorithms · Computer Science 2026-01-30 Jingyang Zhao , Mingyu Xiao

Mobility-on-demand (MoD) ridesharing is a promising way to improve the occupancy rate of personal vehicles and reduce traffic congestion and emissions. Maximizing the number of passengers served and maximizing a profit target are major…

Data Structures and Algorithms · Computer Science 2023-10-10 Qian-Ping Gu , Jiajian Leo Liang
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