• Title/Summary/Keyword: Routing problem

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Simultaneous Consideration of Delivery and Pick-Up in Vehicle Routing Problem (배달과 회수를 고려한 차량 경로 문제)

  • 김내헌
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.16 no.28
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    • pp.195-202
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    • 1993
  • This paper considers the vehicle routing problem taking account of not only delivery but pick-up at the same time. A mathematical formulation is presented for finding the route which satisfies all the demands of customers and enables picking up most containers without exceeding the capacity of the vehicle. A table comparing traveling distance and the pick-up amount is provided by using heuristic method, which will be of help to the decision makers.

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A Heuristic Algorithm for the Vehicle Routing Problem (차량 경로 문제의 발견적 해법)

  • 정영민;민계료
    • Journal of the military operations research society of Korea
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    • v.26 no.1
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    • pp.47-55
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    • 2000
  • The purpose of this paper is to develop a new heuristic algorithm for vehicle routing problem. The algorithm is composed of two steps. First step is to make a initial solution using sweeping algorithm. Second step is to improve initial solution for optimal solution using node exchange algorithm and tabu search algorithm. We have proven that our algorithm has produced better results than solutions obtained by saving algorithm and genetic in ten example problems with different unit size.

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A Voronoi Tabu Search Algorithm for the Capacitated Vehicle Routing Problem (차량경로 문제에 관한 보로노이 다이어그램 기반 타부서치 알고리듬)

  • Kwon, Yong-Ju;Kim, Jun-Gyu;Seo, Jeongyeon;Lee, Dong-Ho;Kim, Deok-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.4
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    • pp.469-479
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    • 2007
  • This paper focuses on the capacitated vehicle routing problem that determines the routes of vehicles in such a way that each customer must be visited exactly once by one vehicle starting and terminating at the depot while the vehicle capacity and the travel time constraints must be satisfied. The objective is to minimize the total traveling cost. Due to the complexity of the problem, we suggest a tabu search algorithm that combines the features of the existing search heuristics. In particular, our algorithm incorporates the neighborhood reduction method using the proximity information of the Voronoi diagram corresponding to each problem instance. To show the performance of the Voronoi tabu search algorithm suggested in this paper, computational experiments are done on the benchmark problems and the test results are reported.

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.

Adaptive Differentiated Integrated Routing Scheme for GMPLS-based Optical Internet

  • Wei, Wei;Zeng, Qingji;Ye, Tong;Lomone, David
    • Journal of Communications and Networks
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    • v.6 no.3
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    • pp.269-279
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    • 2004
  • A new online multi-layer integrated routing (MLIR) scheme that combines IP (electrical) layer routing with WDM (optical) layer routing is investigated. It is a highly efficient and cost-effective routing scheme viable for the next generation integrated optical Internet. A new simplified weighted graph model for the integrated optical Internet consisted of optical routers with multi-granularity optical-electrical hybrid switching capability is firstly proposed. Then, based on the proposed graph model, we develop an online integrated routing scheme called differentiated weighted fair algorithm (DWFA) employing adaptive admission control (routing) strategies with the motivation of service/bandwidth differentiation, which can jointly solve multi-layer routing problem by simply applying the minimal weighted path computation algorithm. The major objective of DWFA is fourfold: 1) Quality of service (QoS) routing for traffic requests with various priorities; 2) blocking fairness for traffic requests with various bandwidth granularities; 3) adaptive routing according to the policy parameters from service provider; 4) lower computational complexity. Simulation results show that DWFA performs better than traditional overlay routing schemes such as optical-first-routing (OFR) and electrical-first-routing (EFR), in terms of traffic blocking ratio, traffic blocking fairness, average traffic logical hop counts, and global network resource utilization. It has been proved that the DWFA is a simple, comprehensive, and practical scheme of integrated routing in optical Internet for service providers.

A Branch-and-price Algorithm for the Minimum ADM Problem on WDM Ring Networks (WDM 링에서의 ADM 최소화 문제에 대한 분지평가 해법)

  • Chung, Ji-Bok
    • Journal of the Korean Operations Research and Management Science Society
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    • v.32 no.4
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    • pp.51-60
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    • 2007
  • In this study, we consider the minimum ADM problem which is the fundamental problem for the cost-effective design of SONET ADM embedded in WDM ring networks. To minimize the number of SONET ADMs, efficient algorithms for the routing and wavelength assignment are needed. We propose a mathematical model based on the graph theory for the problem and propose a branch-and-price approach to solve the suggested model effectively within reasonable time. By exploiting the mathematical structure of ring networks, we developed polynomial time algorithms for column generation subroutine at branch-and-bound tree. In a computer simulation study, the suggested approach can find the optimal solution for sufficient size networks and shows better performance than the greedy heuristic method.

A Route-Splitting Approach to the Vehicle Routing Problem

  • Kang Sungmin;Thomas L. Joseph
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.389-392
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    • 2004
  • The column generation process for the set-partitioning model of the vehicle routing problem requires repeated solutions of column generation subproblems which has a combinatorial structure similar to that of the traveling salesman problem. This limits the size of the problem that can be addressed. We introduce a new modeling approach, termed route-splitting, which splits each vehicle route into segments, and results in more tractable subproblems. A lower bounding scheme that yields an updated bound at each iteration of the column generation process is developed. Implementation issues, including a technique of controlling columns in the master problem, are explored. Lower bounds are computed on standard benchmark problems with up to 199 customers.

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On the optimum ship routing by network modeling (네트워크 모형화에 의한 최적 항로 결정)

  • Lee, Hee-Yong;Kim, Si-Hwa;Song, Jae-Uk
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2001.10a
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    • pp.89-99
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    • 2001
  • Optimum Ship Routing can be defined as “The selection of an optimum track for a transoceanic crossing by the application of long-range predictions of wind, waves and currents to the knowledge of how the routed vessel reacts to these variables”. This paper treats the methodology how to serve optimum ship routing problem by network modeling and reveals the validity of the network model by some numerical experiments.

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An Analysis of the Multicast models for the Internet (인터넷 상에서의 멀티캐스트 구현을 위한 프로토콜 분석 및 네트워크 모델)

  • 최성미;김상언홍경표
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.23-26
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    • 1998
  • IP multicasting efficiently delivers a single datagram to multiple hosts. Its benefits have been demonstrated over the past six years on MBONE. Now, as the number of subnets in the MBONE are increased, the MBONE can no longer be managed as a single, flat routing domain. Its routing scalability must be improved. In this paper, to solve problem of routing scalability, serveral new multicast models for the internet are explained.

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VEHICLE ROUTING PROBLEM FOR PUBLIC TRANSPORT: A CASE STUDY

  • Gunadi W. Nurcahyo;Alias, Rose-Alinda;Mohd. Noor Md. Sap
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1180-1183
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    • 2002
  • Types of problems and solutions to vehicle routing problems are discussed. A case study on a public transport is conducted to discover the characteristics of problems in route selection. The characteristics of problems solved by certain technique or algorithm are also studied to investigate the capability of current techniques in solving public bus routing.

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