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Related papers: Vehicle Routing with Subtours

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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…

Data Structures and Algorithms · Computer Science 2014-01-28 Zhixin Luo , Hu Qin , Wenbin Zhu , Andrew Lim

We develop a general framework for designing polynomial-time approximation schemes (PTASs) for various vehicle routing problems in trees. In these problems, the goal is to optimally route a fleet of vehicles, originating at a depot, to…

Data Structures and Algorithms · Computer Science 2019-02-27 Amariah Becker , Alice Paul

We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates…

Optimization and Control · Mathematics 2017-06-13 Teobaldo Bulhões , Minh Hoàng Hà , Rafael Martinelli , Thibaut Vidal

We study the NP-hard problem of approximating a Minimum Routing Cost Spanning Tree in the message passing model with limited bandwidth (CONGEST model). In this problem one tries to find a spanning tree of a graph $G$ over $n$ nodes that…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-06 Alexandra Hochuli , Stephan Holzer , Roger Wattenhofer

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 give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

Data Structures and Algorithms · Computer Science 2019-12-03 Thomas Bosman , Neil Olver

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

We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length.…

Data Structures and Algorithms · Computer Science 2013-04-23 Shalabh Vidyarthi , Kaushal K Shukla

Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

Data Structures and Algorithms · Computer Science 2011-01-21 Greg N. Frederickson , Barry Wittman

The cost-distance Steiner tree problem seeks a Steiner tree that minimizes the total congestion cost plus the weighted sum of source-sink delays. This problem arises as a subroutine in timing-constrained global routing with a linear delay…

Data Structures and Algorithms · Computer Science 2025-03-07 Stephan Held , Edgar Perner

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

Routing algorithms for public transport, particularly the widely used RAPTOR and its variants, often face performance bottlenecks during the transfer relaxation phase, especially on dense transfer graphs, when supporting unlimited…

Data Structures and Algorithms · Computer Science 2026-05-27 Andrii Rohovyi , Abdallah Abuaisha , Toby Walsh

We consider the model of a transportation problem with the objective of finding a minimum-cost transportation plan for shipping a given commodity from a set of supply centers to the customers. Since the exact values of supply and demand and…

Optimization and Control · Mathematics 2023-01-31 Elif Garajová , Miroslav Rada

The profitable tour problem (PTP) is a well-known NP-hard routing problem searching for a tour visiting a subset of customers while maximizing profit as the difference between total revenue collected and traveling costs. PTP is known to be…

Data Structures and Algorithms · Computer Science 2025-03-03 Enrico Angelelli , Renata Mansini , Romeo Rizzi

We introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

Data Structures and Algorithms · Computer Science 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

Optimization and Control · Mathematics 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

We consider an e-commerce retailer operating a supply chain that consists of middle- and last-mile transportation, and study its ability to deliver products stored in warehouses within a day from customer's order time. Successful next-day…

Data Structures and Algorithms · Computer Science 2025-04-22 Konstantinos Benidis , Georgios Paschos , Martin Gross , George Iosifidis

Energy consumption is the major contributor associated with large and growing transportation cost in logistics. Optimal vehicle routing approaches can provide solutions to reduce their operating costs and address implications on energy.…

Optimization and Control · Mathematics 2020-01-24 Harshavardhan Desai , Ben Remer , Behdad Chalaki , Liuhui Zhao , Andreas Malikopoulos , Jackeline Rios-Torres

We study the problem of planning routes in road networks when certain streets or areas are closed at certain times. For heavy vehicles, such areas may be very large since many European countries impose temporary driving bans during the…

Data Structures and Algorithms · Computer Science 2020-04-21 Alexander Kleff , Frank Schulz , Jakob Wagenblatt , Tim Zeitz

The maximum common subtree isomorphism problem asks for the largest possible isomorphism between subtrees of two given input trees. This problem is a natural restriction of the maximum common subgraph problem, which is ${\sf NP}$-hard in…

Data Structures and Algorithms · Computer Science 2016-08-23 Andre Droschinsky , Nils M. Kriege , Petra Mutzel
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