Arc Routing Problems, Part I: The Chinese Postman Problem-- &#; Arc routing problems arise in several areas of distribution management and have long been the object of study by mathematicians and operations researchers. In the first of a two-part survey, the Chinese postman problem ( CPP) is considered. The main : H. A. Eiselt, Michel Gendreau, Gilbert Laporte
Arc routing problems: A review of the past, present, and -- &#; Arc routing problems (ARPs) are defined and introduced. Following a brief history of developments in this area of research, different types of ARPs are described : &#;ngel Corber&#;n, Richard Eglese, Geir Hasle, Isaac Plana, Jos&#; Mar&#;a Sanchis
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The open capacitated arc routing problem - ScienceDirect-- &#; The Capacitated Arc Routing Problem (CARP), proposed by Golden and Wong [], is a combinatorial optimization problem defined in a connected undirected graph G ( : F&#;bio Luiz Usberti, Paulo Morelato Fran&#;a, Andr&#; Luiz Morelato Fran&#;a
Arc routing problems: A review of the past, present, and -- &#; Arc Routing Problems (ARPs) are a special kind of Vehicle Routing Problem (VRP), in which the demands are located on edges or arcs, instead of nodes. There is a ：
Arc routing problems: A review of the past, present, and -- &#; Arc routing problems (ARPs) are defined and introduced. Following a brief history of developments in this area of research, different types of ARPs are described
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Arc Routing | Chapter : The Capacitated Arc Routing -- &#; . Introduction The Capacitated Arc Routing Problem (CARP) was formally introduced by Golden and Wong [] in . Roughly speaking, the CARP consists of
Routing Problem - an overview | ScienceDirect TopicsArc routing problems (ARPs) are one of the classical constrained multiobjective optimization problems [].In many disciplines such as electronic information, artificial intelligence,
The capacitated arc routing problem with profitsEnter the email address you signed up with and we'll email you a reset link.
Arc routing problems: A review of the past, present, and -- &#; Arc Routing Problems (ARPs) are a special kind of Vehicle Routing Problem (VRP), in which the demands are located on edges or arcs, instead of nodes. There is a huge literature on ARPs, and a
Arc Routing | Chapter : The Capacitated Arc Routing -- &#; . Introduction The Capacitated Arc Routing Problem (CARP) was formally introduced by Golden and Wong [] in . Roughly speaking, the CARP consists of finding a set of minimum cost routes for vehicles with limited capacity that service some street segments with known demand, represented by a subset of edges of a graph. The
(PDF) Chapter : Arc Routing Problems with Profits-- &#; Problem with Profits, and the T eam Orienteering Arc Routing Problem. .. The Profitable Arc T our Problem The Profitable Arc Tour Problem (P ATP) was introduced in F eillet, Dejax, and Gendreau
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[PDF]Arc Routing Problems: History, Applications and -- &#; Arc routing problems with aesthetic constraints . Eulerian graphs . . A Eulerian tour is a closed walk (tour) that traverses each edge of the graph exactly once. A Eulerian graph is one for which there is a Eulerian tour. An undirected connected graph G=(V,E) is Eulerian if and
DIMACS :: Capacitated Arc RoutingThe Capacitated Arc Routing Problem (CARP) is stated on a network consisting of nodes and (undirected) edges. An edge ( i,j) between nodes i and j can be used to travel over and has a cost dij for traversing it. Some of the edges ( i, j) require demand for a service quantity qij ≥ . Each vehicle has a capacity Q on the demand it can serve
Competitive Memetic Algorithms for Arc Routing The Capacitated Arc Routing Problem or CARP arises in applications like waste collection or winter gritting. Metaheuristics are tools of choice for solving large instances of this NP-hard problem. The paper presents basic components that can be combined into powerful memetic algorithms (MAs) for solving an extended version of the CARP (ECARP). The best
[PDF] Drone arc routing problems | Semantic Scholar-- &#; This research was supported by the Ministerio de Economia y Competitividad and FEDER - European Regional Development Fund, MTM--P. In this article, we present some drone arc routing problems (Drone ARPs) and study their relation with well‐known postman ARPs. Applications for Drone ARPs include traffic monitoring by
Heuristics for the periodic capacitated arc routing problemThe Capacitated Arc Routing Problem (CARP) involves the routing of vehicles to service a set of arcs in a network. This NP-hard problem is extended to a multiperiod horizon, giving a new tactical problem called the Periodic CARP (PCARP). This problem actually occurs in municipal waste collection. Its objective is to assign arcs to periods and to compute the
Stochastic Capacitated Arc Routing Problem - ： This paper deals with the Stochastic Capacitated Arc Routing Problem (SCARP), obtained by randomizing quantities on the arcs in the CARP. Optimization problems for the SCARP are characterized by decisions that are made without knowing their full
Arc Routing | Chapter : The Capacitated Arc Routing -- &#; . Introduction The Capacitated Arc Routing Problem (CARP) was formally introduced by Golden and Wong [] in . Roughly speaking, the CARP consists of finding a set of minimum cost routes for vehicles with limited capacity that service some street segments with known demand, represented by a subset of edges of a graph. The
The Arc Oriented Location Routing Problem | Semantic In this paper, an Arc Oriented Location Routing Problem (AOLRP) is described, where the customers to be serviced are represented by arcs and the allocation of customers to depots is an arc oriented problem as well as the resulting routing problem. AbstractThe location routing problem is concerned with locating depots and creating routes to service
Arc Routing Problems, Part II: The Rural Postman Problem-- &#; This is the second half of a two-part survey on arc routing problems. The first part appeared in the March–April issue of this journal. Here, the rural postman problem ( RPP) is reviewed. The paper is organized as follows: applications, the undirected RPP, the directed RPP, the stacker crane problem, and the capacitated arc routing problem.
The Capacitated Arc Routing Problem: Lower bounds-- &#; New lower bounds are developed for the Capacitated Arc Routing Problem, in which a fleet of vehicles must service a subset of the edges of a graph, with minimum total cost and such that the load assigned to each vehicle does not exceed its capacity. In this paper, we consider the Capacitated Arc Routing Problem (CARP), in which a fleet of
The Capacitated Arc Routing Problem: Valid Inequalities -- &#; The resulting partial description of the polyhedron has been used to develop a cutting plane algorithm for the Capacitated Arc Routing Problem that outperformed all the existing lower bounds for the CARP on a set of instances taken from the literature. In this paper we study the polyhedron associated with the Capacitated Arc Routing Problem
(PDF) Chapter : Arc Routing Problems with Profits-- &#; Problem with Profits, and the T eam Orienteering Arc Routing Problem. .. The Profitable Arc T our Problem The Profitable Arc Tour Problem (P ATP) was introduced in F eillet, Dejax, and Gendreau
[PDF]Arc Routing Problems: History, Applications and -- &#; Arc routing problems with aesthetic constraints . Eulerian graphs . . A Eulerian tour is a closed walk (tour) that traverses each edge of the graph exactly once. A Eulerian graph is one for which there is a Eulerian tour. An undirected connected graph G=(V,E) is Eulerian if and
Arc Routing | SpringerLinkArc Routing: Theory, Solutions and Applications is about arc traversal and the wide variety of arc routing problems, which has had its foundations in the modern graph theory work of Leonhard Euler. Arc routing methods and computation has become a fundamental optimization concept in operations research and has numerous applications in
Efficient Solution of Capacitated Arc Routing Problems Capacitated Arc Routing Problem (CARP) is a well known combinatorial problem that requires the identification of the minimum total distance travelled by a set of vehicles to service a given set of roads subject to the vehicle’s capacity constraints. While a number of optimization algorithms have been proposed over the years to solve CARP
A Branch-Cut-and-Price Algorithm for the Capacitated Arc We tackle the Capacitated Arc Routing Problem where demands are spread over a subset of the edges of a given graph, called the required edge set. Costs for traversing edges, demands on the required ones and the capacity of the available identical vehicles at a vertex depot are given. Routes that collect all the demands at minimum cost are sought.