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In logistic applications that require the pickup and delivery of items, route optimization problems can be modeled as precedence constrained traveling salesperson problems. The combinatorial nature of this problem restricts the application…

Combinatorics · Mathematics 2024-08-23 Mithun Goutham , Stephanie Stockar

Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost…

Optimization and Control · Mathematics 2024-10-11 Hongyi Jiang , Samitha Samaranayake

Current methods of routing are based on network information in the form of routing tables, in which routing protocols determine how to update the tables according to the network changes. Despite the variability of data in routing tables,…

Networking and Internet Architecture · Computer Science 2007-10-11 Mohsen Ravanbakhsh , Yasin Abbasi-Yadkori , Maghsoud Abbaspour , Hamid Sarbazi-Azad

An essential issue that a freight transportation system faced is how to deliver shipments (OD pairs) on a capacitated physical network optimally; that is, to determine the best physical path for each OD pair and assign each OD pair into the…

Optimization and Control · Mathematics 2017-07-27 Boliang Lin

In this research, a new variant of the vehicle routing problem with time windows is addressed. The nodes associated with the customers are related to each other through AND/OR precedence constraints. The objective is minimizing the total…

Optimization and Control · Mathematics 2021-06-04 Mina Roohnavazfar , Seyed Hamid Reza Pasandideh , Roberto Tadei

This paper reviews the overview of the dynamic shortest path routing problem and the various neural networks to solve it. Different shortest path optimization problems can be solved by using various neural networks algorithms. The routing…

Neural and Evolutionary Computing · Computer Science 2010-06-01 R. Nallusamy , K. Duraiswamy

Backpressure-based adaptive routing algorithms where each packet is routed along a possibly different path have been extensively studied in the literature. However, such algorithms typically result in poor delay performance and involve high…

Networking and Internet Architecture · Computer Science 2010-05-28 Eleftheria Athanasopoulou , Loc Bui , Tianxiong Ji , R. Srikant , Alexander Stoylar

We consider the problem of finding an optimal history-dependent routing strategy on a directed graph weighted by stochastic arc costs when the objective is to minimize the risk of spending more than a prescribed budget. To help mitigate the…

Data Structures and Algorithms · Computer Science 2016-02-23 Arthur Flajolet , Sebastien Blandin , Patrick Jaillet

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

Data Structures and Algorithms · Computer Science 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

The problem of constrained coverage path planning involves a robot trying to cover maximum area of an environment under some constraints that appear as obstacles in the map. Out of the several coverage path planning methods, we consider…

Robotics · Computer Science 2017-08-11 Ankit Manerikar , Debasmit Das , Pranay Banerjee

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

Data Structures and Algorithms · Computer Science 2015-04-16 Sergey Polyakovskiy , Frank Neumann

The Split algorithm is an essential building block of route-first cluster-second heuristics and modern genetic algorithms for vehicle routing problems. The algorithm is used to partition a solution, represented as a giant tour without…

Data Structures and Algorithms · Computer Science 2018-05-08 Thibaut Vidal

Parking in large metropolitan areas is often a time-consuming task with further implications toward traffic patterns that affect urban landscaping. Reducing the premium space needed for parking has led to the development of automated…

Robotics · Computer Science 2023-02-03 Teng Guo , Jingjin Yu

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be very efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-03 Nicolas A. Barriga , Mauricio Araya-López , Mauricio Solar

We propose an inexact infeasible arc-search interior-point method for solving linear optimization problems. The method combines an arc-search strategy with inexact solutions to Newton systems and admits a polynomial iteration complexity…

Optimization and Control · Mathematics 2026-01-08 Einosuke Iida , Makoto Yamashita

We present deterministic and randomized algorithms for the problem of online packet routing in grids in the competitive network throughput model \cite{AKOR}. In this model the network has nodes with bounded buffers and bounded link…

Data Structures and Algorithms · Computer Science 2014-09-02 Guy Even , Moti Medina

In vehicle production factories, the vehicle painting process employs multiple robotic arms to simultaneously apply paint to car bodies advancing along a conveyor line. Designing paint paths for these robotic arms, which involves assigning…

Robotics · Computer Science 2026-01-05 Yuya Nagai , Hiromitsu Nakamura , Narito Shinmachi , Yuta Higashizono , Satoshi Ono

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers, while respecting a given order of retrieval. However, the…

Data Structures and Algorithms · Computer Science 2017-10-13 Virgile Galle , Setareh Borjian Boroujeni , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

In robotics, coordinating a group of robots is an essential task. This work presents the communication-constrained multi-agent multi-goal path planning problem and proposes a graph-search based algorithm to address this task. Given a fleet…

Multiagent Systems · Computer Science 2024-12-19 Jáchym Herynek , Stefan Edelkamp