The Time-Dependent Multiple-Vehicle Prize-Collecting Arc Routing Problem

In this paper, we introduce a multi vehicle version of the Time-Dependent Prize-Collecting Arc Routing Problem (TD-MPARP). It is inspired by a situation where a transport manager has to choose between a number of full truck load pick-ups and deliveries to be performed by a fleet of vehicles. Real-life traffic situations where the travel times change with the time of day are taken into account. Two metaheuristic algorithms, one based on Variable Neighborhood Search and one based on Tabu Search, are proposed and tested for a set of benchmark problems, generated from real road networks and travel time information. Both algorithms are capable of finding good solutions, though the Tabu Search approach generally shows better performance for large instances whereas the VNS is superior for small instances. We discuss the structural differences of the implementation of the algorithms which explain these results

An updated annotated bibliography on arc routing problems

The number of arc routing publications has increased significantly in the last decade. Such an increase justifies a second annotated bibliography, a sequel to Corberán and Prins (Networks 56 (2010), 50–69), discussing arc routing studies from 2010 onwards. These studies are grouped into three main sections: single vehicle problems, multiple vehicle problems and applications. Each main section catalogs problems according to their specifics. Section 2 is therefore composed of four subsections, namely: the Chinese Postman Problem, the Rural Postman Problem, the General Routing Problem (GRP) and Arc Routing Problems (ARPs) with profits. Section 3, devoted to the multiple vehicle case, begins with three subsections on the Capacitated Arc Routing Problem (CARP) and then delves into several variants of multiple ARPs, ending with GRPs and problems with profits. Section 4 is devoted to applications, including distribution and collection routes, outdoor activities, post-disaster operations, road cleaning and marking. As new applications emerge and existing applications continue to be used and adapted, the future of arc routing research looks promising.info:eu-repo/semantics/publishedVersio

Arc routing problems: A review of the past, present, and future

[EN] 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 that are currently relevant for study. In addition, particular features of ARPs that are important from a theoretical or practical point of view are discussed. A section on applications describes some of the changes that have occurred from early applications of ARP models to the present day and points the way to emerging topics for study. A final section provides information on libraries and instance repositories for ARPs. The review concludes with some perspectives on future research developments and opportunities for emerging applicationsThis research was supported by the Ministerio de Economia y Competitividad and Fondo Europeo de Desarrollo Regional, Grant/Award Number: PGC2018-099428-B-I00. The Research Council of Norway, Grant/Award Numbers: 246825/O70 (DynamITe), 263031/O70 (AXIOM).Corberán, Á.; Eglese, R.; Hasle, G.; Plana, I.; Sanchís Llopis, JM. (2021). Arc routing problems: A review of the past, present, and future. Networks. 77(1):88-115. https://doi.org/10.1002/net.21965S8811577

The Position-Aware-Market: Optimizing Freight Delivery for Less-Than-Truckload Transportation

The increasing competition faced by logistics carriers requires them to ship at lower cost and higher efficiency. In reality, however, many trucks are running empty or with a partial load. Bridging such residual capacity with real time transportation demand enhances the efficiency of the carriers. We therefore introduce the Position-Aware-Market (PAM), where transportation requests are traded in real time to utilize transportation capacities optimally. In this paper we mainly focus on the decision support system for the truck driver, which solves a profit- maximizing Pickup and Delivery Problem with Time Windows (PM-PDPTW). We propose a novel Recursive Branch-and-Bound algorithm that solves the problem optimally, and apply it to a Tabu-Search heuristic for larger problem instances. Simulations show that problems with up to 50 requests can be solved optimally within seconds. Larger problems with 200 requests can be solved approximately by Tabu-Search in seconds, retaining 60% of the optimal profit

Debris removal during disaster response phase : a case for Turkey

Ankara : The Department of Industrial Engineering and the Graduate School of Engineering and Science of Bilkent University, 2013.Thesis (Master's) -- Bilkent University, 2013.Includes bibliographical references leaves 88-93.In this study, a methodology to provide emergency relief supplies to the disaster affected regions is developed. As a result of destructive effects of disasters, debris, which is the ruin and wreckage of the structures, occurs. Proper removal of debris has significant importance since it blocks the roads and prohibits emergency aid teams to access the disaster affected regions. Wrong disaster management, lack of efficiency and delays in debris removal cause disruptions in providing sheltering, nutrition, healthcare and communication services to the disaster victims, and more importantly they result in loss of lives. Due to the importance of a systematic and efficient way of debris removal from the point of improving disaster victims’ life quality and its contributions to transportation of emergency relief materials to the disaster affected regions, the focus of this study is providing emergency relief supplies to the disaster affected regions as soon as possible, by considering unblocking operations of roads through removing the accumulated debris. To come up with a scientific solution methodology to the problem, mathematical models that select the paths in order to transport emergency aid materials in the presence of debris to the pre-determined disaster affected regions are developed. The performances of the models are tested on two distinct data sets from İstanbul. Since it is crucial to act quickly in an emergency case, a constructive and an improvement heuristic are also proposed.Şahin, HalenurM.S

A branch-and-cut algorithm for the multidepot rural postman problem

This paper considers the Multidepot Rural Postman Problem, an extension of the classical Rural Postman Problem in which there are several depots instead of only one. The aim is to construct a minimum cost set of routes traversing each required edge of the graph, where each route starts and ends at the same depot. The paper makes the following scientific contributions: (i) It presents optimality conditions and a worst case analysis for the problem; (ii) It proposes a compact integer linear programming formulation containing only binary variables, as well as a polyhedral analysis; (iii) It develops a branch-and-cut algorithm that includes several new exact and heuristic separation procedures. Instances involving up to four depots, 744 vertices, and 1,315 edges are solved to optimality. These instances contain up to 140 required components and 1,000 required edges.Peer ReviewedPostprint (author's final draft

Otimização de itinerários para a fiscalização de estacionamento

Mestrado em Métodos Quantitativos para a Decisão Económica e EmpresarialAo longo dos últimos anos os problemas de roteamento nos arcos têm vindo a ser estudados com grande intensidade. Neste tipo de problemas, o objetivo é atravessar determinadas ligações, habitualmente relacionadas com as ruas ou vias, representadas num grafo que, no presente trabalho, se integram em zonas de estacionamento na cidade de Lisboa, geridas pela EMEL (Empresa Municipal de Mobilidade e Estacionamento de Lisboa). A ideia central consiste em construir percursos de trabalho para cada fiscal de estacionamento que permitam atender todas as necessidades de fiscalização de estacionamento da melhor maneira possível. Os fiscais iniciam os seus percursos de modo a fiscalizar as ligações especificadas e, de seguida, retornam ao depósito, respeitando a capacidade. A restrição de capacidade de cada veículo corresponde à duração do turno de cada fiscal. Para avaliar a necessidade de fiscalização de cada rua foi introduzido um parâmetro, denominado por criticidade, que varia de acordo com a hora do dia. Assim, o objetivo do problema assenta na maximização da criticidade total associada a todos os percursos. São propostas uma heurística construtiva para obtenção de soluções admissíveis iniciais e uma abordagem metaheurística, baseada em Tabu Search (TS), para resolver instâncias de grande dimensão. Esta, por sua vez, inclui uma heurística melhorativa de pesquisa local, 2-opt. Os algoritmos propostos foram implementados com recurso ao Microsoft Excel Visual Basic for Applications e testes relativamente ao seu desempenho foram realizados em pequenos exemplos gerados aleatoriamente e também em instâncias da vida real baseadas em dados de ruas de Lisboa.Over the past years, arc routing problems have been studied intensively. In this type of problems, the main purpose is to cross certain connections that are related to streets or roads of a graph, which, in this case, represent the parking lot areas in the city of Lisbon, managed by EMEL (Empresa Municipal de Mobilidade e Estacionamento de Lisboa). The main idea is to build paths for each parking enforcement officer that may attend all the inspection needs in the best way possible. The officers start their routes in order to inspect the requested links and then return to the depot taking into account the capacity. The capacity constraint is related to the duration of the officers' shifts. In order to assess the inspection needs of each area, a parameter was assigned, called criticality, which changes throughout the day. Therefore, the objective of the problem is to maximize the total criticality of all routes.A constructive heuristic to obtain initial feasible solutions, and a metaheuristic approach based on a Tabu Search (TS) for solving larges instances are proposed. TS includes an improving local search heuristic, 2-opt. The proposed algorithms were implemented using Microsoft Excel Visual Basic for Applications and their performance were tested through randomly generated examples and also real life instances based data from streets of Lisbon.info:eu-repo/semantics/publishedVersio

Multi-vehicle prize collecting arc routing for connectivity problem

© 2017 Elsevier Ltd For effective disaster response, roads should be cleared or repaired to provide accessibility and relief services to the affected people in shortest time. We study an arc routing problem that aims to regain the connectivity of the road network components by clearing a subset of the blocked roads. In this problem, we maximize the total prize gained by reconnecting disconnected network components within a specified time limit. The solution should determine the coordinated routes of each work troop starting at a depot node such that none of the closed roads can be traversed unless their unblocking/clearing procedure is finished. We develop an exact Mixed Integer Program (MIP) and a matheuristic method. The matheuristic solves single vehicle problems sequentially with updated prizes. To obtain an upper bound, we first relax the timing elements in the exact formulation and then solve its relaxed MIP, which decomposes into single vehicle problems, by Lagrangian Relaxation. We show the effectiveness of the proposed methods computationally on both random Euclidean and Istanbul road network data generated with respect to predicted earthquake scenarios