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With an increasing need for more flexible mobility services, we consider an operational problem arising in the planning of Demand Adaptive Systems (DAS). Motivated by the decision of whether to accept or reject passenger requests in real…

最优化与控制 · 数学 2025-03-12 Benedikt Lienkamp , Mike Hewitt , Axel Parmentier , Maximilian Schiffer

The length-constrained cycle partition problem (LCCP) is a graph optimization problem in which a set of nodes must be partitioned into a minimum number of cycles. Every node is associated with a critical time and the length of every cycle…

最优化与控制 · 数学 2024-02-05 Mohammed Ghannam , Gioni Mexi , Edward Lam , Ambros Gleixner

Some of today's most significant challenges in urban environments concern individual mobility and rapid parcel delivery. With the surge of e-commerce and the ever-increasing volume of goods to be handled, new logistic solutions are in high…

数据结构与算法 · 计算机科学 2023-02-22 Ana Beatriz Herthel , Richard Hartl , Anand Subramanian , Thibaut Vidal

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

数据结构与算法 · 计算机科学 2019-11-05 David Holzmüller

This paper addresses a new vehicle routing problem that simultaneously involves time windows, split collection and linear weight-related cost, which is a generalization of the split delivery vehicle routing problem with time windows…

数据结构与算法 · 计算机科学 2014-01-28 Zhixin Luo , Hu Qin , Wenbin Zhu , Andrew Lim

The min-max vehicle routing problem (min-max VRP) traverses all given customers by assigning several routes and aims to minimize the length of the longest route. Recently, reinforcement learning (RL)-based sequential planning methods have…

机器学习 · 计算机科学 2024-06-07 Zhi Zheng , Shunyu Yao , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Ke Tang

The two-echelon inventory-routing problem (2E-IRP) addresses the coordination of inventory management and freight transportation throughout a two-echelon supply network. The latter consists of geographically widespread customers whose…

最优化与控制 · 数学 2022-06-29 Sara Charaf , Duygu Taş , Simme Douwe Flapper , Tom van Woensel

The Discrete Ordered Median Problem (DOMP) is formulated as a set partitioning problem using an exponential number of variables. Each variable corresponds to a set of demand points allocated to the same facility with the information of the…

最优化与控制 · 数学 2018-02-12 Samuel Deleplanque , Martine Labbé , Diego Ponce , Justo Puerto

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…

最优化与控制 · 数学 2021-03-16 Sergey S. Ketkov , Oleg A. Prokopyev , Evgenii P. Burashnikov

The Minimum Path Cover (MPC) problem consists of finding a minimum-cardinality set of node-disjoint paths that cover all nodes in a given graph. We explore a variant of the MPC problem on acyclic digraphs (DAGs) where, given a subset of…

离散数学 · 计算机科学 2025-01-17 Nour ElHouda Tellache , Roberto Baldacci

Ride-pooling services have been growing in popularity, increasing the need for efficient and effective operations. The main goal of ride-pooling services is to maximize the number of passengers served while minimizing wait and delay times.…

最优化与控制 · 数学 2023-05-23 Arash Dehghan , Mucahit Cevik , Merve Bodur

We propose a Branch-and-Cut (B&C) method for solving general MAP-MRF inference problems. The core of our method is a very efficient bounding procedure, which combines scalable semidefinite programming (SDP) and a cutting-plane method for…

计算机视觉与模式识别 · 计算机科学 2015-09-10 Peng Wang , Chunhua Shen , Anton van den Hengel , Philip Torr

On-demand peer-to-peer ride-sharing services provide flexible mobility options, and are expected to alleviate congestion by sharing empty car seats. An efficient matching algorithm is essential to the success of a ride-sharing system. The…

数据结构与算法 · 计算机科学 2021-05-28 Rui Yao , Shlomo Bekhor

Ridesharing has been emerging as a new type of mobility. However, the early promises of ridesharing for alleviating congestion in cities may be undermined by a number of challenges, including the growing number of proposed services and the…

计算机与社会 · 计算机科学 2020-01-09 Venktesh Pandey , Julien Monteil , Claudio Gambella , Andrea Simonetto

In the Distance-constrained Vehicle Routing Problem (DVRP), we are given a graph with integer edge weights, a depot, a set of $n$ terminals, and a distance constraint $D$. The goal is to find a minimum number of tours starting and ending at…

数据结构与算法 · 计算机科学 2022-10-11 Marc Dufay , Claire Mathieu , Hang Zhou

We consider the stochastic shortest path planning problem in MDPs, i.e., the problem of designing policies that ensure reaching a goal state from a given initial state with minimum accrued cost. In order to account for rare but important…

系统与控制 · 电气工程与系统科学 2021-03-30 Mohamadreza Ahmadi , Anushri Dixit , Joel W. Burdick , Aaron D. Ames

The orienteering problem is a route optimization problem which consists in finding a simple cycle that maximizes the total collected profit subject to a maximum distance limitation. In the last few decades, the occurrence of this problem in…

最优化与控制 · 数学 2021-01-14 Gorka Kobeaga , María Merino , Jose A. Lozano

This paper analyzes simultaneous route-and-departure-time (SRDT) dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure time and route choices. Intrinsically, the…

最优化与控制 · 数学 2016-03-25 Ke Han , W. Y. Szeto , Terry L. Friesz

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

人工智能 · 计算机科学 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

The Ride-Pool Matching Problem (RMP) is central to on-demand ride-pooling services, where vehicles must be matched with multiple requests while adhering to service constraints such as pickup delays, detour limits, and vehicle capacity. Most…

机器人学 · 计算机科学 2025-03-12 Hao Jiang , Yixing Xu , Pradeep Varakantham