• Title/Summary/Keyword: VRP(Vehicle Routing Problem)

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A Simultaneous Delivery and Pick-up Heterogeneous Vehicle Routing Problem with Separate Loading Area (다품종 독립 적재공간을 갖는 배달과 수거를 동시에 고려한 차량경로문제)

  • Kim, Gak-Gyu;Kim, Seong-Woo;Kim, Seong-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.6
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    • pp.554-561
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    • 2013
  • As a special topic of the vehicle routing problems (VRP), VRPSDP extends the vehicle routing problem as considering simultaneous pickup and delivery for goods. The past studies have mainly dealt with a only weight constraint of a loading capacity for heterogeneous products. However. this study suggests VRPSDP considering separate loading area according to characteristics of loading species. The objective is to design a set of minimum distance routes for the vehicle routing assignment with independent capacity for heterogeneous species. And then we present a another HVRPSDP model which is easy to utilizes in a unique circumstance that is a guarantee of executing a task simultaneously from the various areas under restricted time and raising an application of vehicles that returns at the depot for the next mission like the military group. The optimal results of the suggested mathematical models are solved by the ILOG CPLEX software ver. 12.4 that is provided by IBM company.

The Sludge Collection Scheduling and Vehicle Routing Strategies (하수처리시설의 슬러지 수거 일정계획 수립 및 수거차량 경로결정)

  • Kim Min-Je;No Ui-Su;Heo Eun-Jeong;Choi Gyeong-Hyeon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1170-1177
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    • 2006
  • We apply VRP(Vehicle Routing Problem) to sludge collection system in this study. Sewage stores of villages are located in each village around a multipurpose dam. Sludge which is produced in sewage store of village is transported from the sewage store of village to the sewage treatment plants by the special purpose vehicle such as the tank lorry. In this paper, we propose sludge collection strategies which allocate each sewage store of village to sewage treatment plants and decide the schedule of sludge collection in order to collect sludge efficiently. The strategies aim to decrease transportation cost with deciding proposed vehicle routing and scheduling the sludge collection. When we decide route of vehicles, we consider the collection time in sewage store of village, distance between sewage store of villages and vehicle information as average velocity of vehicle, operation time of vehicle driver. We also develop the SCMS(Sludge Collection Management System) based on windows system with real data which is used in certain circumstance. And we experiment to figure out vehicle route and transportation cost throughout changing input data.

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A VRP Model for Pickup and Delivery Problem (배달 및 수거를 고려한 차량운송계획모델)

  • 황흥석;조규성;홍창우
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.285-288
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    • 2000
  • 본 연구는 Heuristic 알고리즘 및 유전자알고리즘(GA)을 이용하여 수거(Pickup) 및 배달(Delivery)을 동시에 고려한 통합차량운송계획 모델의 개발이다. 본 연구는 기존의 TSP의 문제를 확장 응용하였으며, 이는 한 Route에서 수거지(Origin)와 운반지(Destination)를 포함하는 수요들을 만족하도록 운반되어야 하는 문제이다. 이러한 통합차량경로계획문제(VRP Vehicle Routing Problem)를 해결하기 위한 접근방법으로 Heuristic 방법을 사용하였으며, 기존의 Saving 알고리즘과 유전자알고리즘(Genetic Algorithm)의 각종 연산자(Operators)들을 계산하여 사용한 TSP문제의 해를 본 연구의 해의 초기해로 사용하였으며 수거 및 배달문제의 특성을 고려하여 해를 구하였다. 본 연구의 결과를 다양한 운송환경에서, 거리산정방법, 가용운송장비 대수, 운송시간의 제한, 물류센터 및 운송지점의 위치 및 수요량 등 다양한 인자들을 고려한 통합시스템으로 프로그램을 개발하고 Sample 문제를 통하여 응용결과를 보였다.

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Optimal path planning and analysis for the maximization of multi UAVs survivability for missions involving multiple threats and locations (다수의 위협과 복수의 목적지가 존재하는 임무에서 복수 무인기의 생존율 극대화를 위한 최적 경로 계획 및 분석)

  • Jeong, Seongsik;Jang, Dae-Sung;Park, Hyunjin;Seong, Taehyun;Ahn, Jaemyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.6
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    • pp.488-496
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    • 2015
  • This paper proposes a framework to determine the routes of multiple unmanned aerial vehicles (UAVs) to conduct multiple tasks in different locations considering the survivability of the vehicles. The routing problem can be formulated as the vehicle routing problem (VRP) with different cost matrices representing the trade-off between the safety of the UAVs and the mission completion time. The threat level for a UAV at a certain location was modeled considering the detection probability and the shoot-down probability. The minimal-cost path connecting two locations considering the threat level and the flight distance was obtained using the Dijkstra algorithm in hexagonal cells. A case study for determining the optimal routes for a persistent multi-UAVs surveillance and reconnaissance missions given multiple enemy bases was conducted and its results were discussed.

A Study of the Development of Algorithm for Optimal Route Design of the Vehicle Routing Problems (차량경로문제 (VRP)의 최적루트 설계를 위한 알고리듬 개발에 관한 연구)

  • 이규헌
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.1
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    • pp.153-168
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    • 1994
  • This paper is concerned with the development of tree-search algorithm for the exact solution to the vehicle problem (VRP), where set of vehicles of known capacity based at depot, have to be routed in order to supply customers with known requirements. When is required is to design routes, so that the total cost (i. e. total route length or time duration, ect.) is minimized. For obtianing the exact solution, the most important factors are the value of bound and branching strategy. Using the bound based on with bound ascent procedures from subgradient and state-space ascents, the incorporation of bounds into tree search algorithm to solve the problem is shown. Computational results of the corresponding algorithm show that VRPs with up to 40 customers can be solved optimally with this algorithm.

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A Scalable Heuristic for Pickup-and-Delivery of Splittable Loads and Its Application to Military Cargo-Plane Routing

  • Park, Myoung-Ju;Lee, Moon-Gul
    • Management Science and Financial Engineering
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    • v.18 no.1
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    • pp.27-37
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    • 2012
  • This paper is motivated by a military cargo-plane routing problem which is a pickup-and-delivery problem in which load splits and node revisits are allowed (PDPLS). Although this recent evolution of a VRP-model enhances the efficiency of routing, a solution method is more of a challenge since the node revisits entail closed walks in modeling vehicle routes. For such a case, even a compact IP-formulation is not available and an effective method had been lacking until Nowak et al. (2008b) proposed a heuristic based on a tabu search. Their method provides very reasonable solu-tions as demonstrated by the experiments not only in their paper (Nowak et al., 2008b) but also in ours. However, the computation time seems intensive especially for the class of problems with dynamic transportation requests, including the military cargo-plane routing problem. This paper proposes a more scalable algorithm hybridizing a tabu search for pricing subproblem paused as a single-vehicle routing problem, with a column generation approach based on Dantzig-Wolfe decomposition. As tested on a wide variety of instances, our algorithm produces, in average, a solution of an equiva-lent quality in 10~20% of the computation time of the previous method.

Freight and Fleet Optimization Models under CVO Environment (CVO 환경을 고려한 차량 및 화물 운송 최적 모델)

  • Choe Gyeong-Hyeon;Pyeon Je-Beom;Gwak Ho-Man
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
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    • 2002.05a
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    • pp.209-215
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    • 2002
  • In this paper, we propose a freight and fleet optimization model under CVO environment. The model is a kind of multi commodity network flow model based on Vehicle Routing Problem(VRP) and Vehicle Scheduling Problem(VSP), and considering operations and purposes of CVO. The main purpose of CVO is the freight and fleet management to reduce logistics cost and to Improve in vehicle safety. Thus, the objective of this model is to minimize routing cost of all the vehicle and to find the location of commodities which have origin and destination. We also present some computing test results.

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Uncapacitated Multiple Traveling Purchaser Problem (용량제약이 없는 복수 순회구매자 문제)

  • Choi, Myung-Jin;Lee, Sang-Heon
    • Journal of Korean Institute of Industrial Engineers
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    • v.36 no.2
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    • pp.78-86
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    • 2010
  • The traveling purchaser problem(TPP) is a generalization of the well-known traveling salesman problem(TSP), which has many real-world applications such as purchasing the required raw materials for the manufacturing factories and the scheduling of a set of jobs over some machines, and many others. TPP also could be extended to the vehicle routing problem(VRP) by incorporating additional constraints such as multi-purchaser, capacity, distance and time restrictions. In the last decade, TPP has received some attention of the researchers in the operational research area. However it has not received the equivalent interest as much as TSP and VRP. Therefore, there does not exist a review of the TPP. The purpose of this paper is to review the TPP and to describe solution procedures proposed for this problem. We also introduce the ILP formulation for the multiple TPP(mTPP) which is generalized type of TPP. We compare the system performance according to change from TPP to mTPP.

A Hierarchical Hybrid Meta-Heuristic Approach to Coping with Large Practical Multi-Depot VRP

  • Shimizu, Yoshiaki;Sakaguchi, Tatsuhiko
    • Industrial Engineering and Management Systems
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    • v.13 no.2
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    • pp.163-171
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    • 2014
  • Under amazing increase in markets and certain demand on qualified service in the delivery system, global logistic optimization is becoming a keen interest to provide an essential infrastructure coping with modern competitive prospects. As a key technology for such deployment, we have been engaged in the practical studies on vehicle routing problem (VRP) in terms of Weber model, and developed a hybrid approach of meta-heuristic methods and the graph algorithm of minimum cost flow problem. This paper extends such idea to multi-depot VRP so that we can give a more general framework available for various real world applications including those in green or low carbon logistics. We show the developed procedure can handle various types of problem, i.e., delivery, direct pickup, and drop by pickup problems in a common framework. Numerical experiments have been carried out to validate the effectiveness of the proposed method. Moreover, to enhance usability of the method, Google Maps API is applied to retrieve real distance data and visualize the numerical result on the map.

A Decentralized Coordination Algorithm for a Highly Dynamic Vehicle Routing Problem (동적 차량경로 문제에 대한 분산 알고리즘)

  • Okpoti, Evans Sowah;Jeong, In-Jae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.42 no.4
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    • pp.116-125
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    • 2019
  • The Dynamic Vehicle Routing Problem (DVRP) involves a combinatorial optimization problem where new customer demands become known over time, and old routes must be reconfigured to generate new routes while executing the current solution. We consider the high level of dynamism problem. An application of highly dynamic DVRP is the ambulance service where a patient contacts the service center, followed by an evaluation of case severity, and a visit by a practitioner/ ambulance is scheduled accordingly. This paper considers a variant of the DVRP and proposes a decentralized algorithm in which collaborators (Depot and Vehicle), both have only partial information about the entire system. The DVRP is modeled as a periodic re optimization of VRP using the proposed decentralized algorithm where collaborators exchange local information to achieve the best global objective for the current state of the system. We assume the existence of a dispatcher e.g., headquarter of the company who can communicate to vehicles in order to gather information and assigns the new visits to them. The effectiveness of the proposed decentralized coordination algorithm is further evaluated using benchmark data given in literature. The results show that the proposed method performed better than the compared algorithms which utilize the centralized coordination in 12 out of 21 benchmark problems.