• Title/Summary/Keyword: VRPTW

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A 3-D Genetic Algorithm for Finding the Number of Vehicles in VRPTW

  • Paik, Si-Hyun;Ko, Young-Min;Kim, Nae-Heon
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.53
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    • pp.37-44
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    • 1999
  • The problem to be studied here is the minimization of the total travel distance and the number of vehicles used for delivering goods to customers. Vehicle routes must also satisfy a variety of constraints such as fixed vehicle capacity, allowed operating time. Genetic algorithm to solve the VRPTW with heterogeneous fleet is presented. The chromosome of the proposed GA in this study has the 3-dimension. We propose GA that has the cubic-chromosome for VRPTW with heterogeneous fleet. The newly suggested ‘Cubic-GA (or 3-D GA)’ in this paper means the 2-D GA with GLS(Genetic Local Search) algorithms and is quite flexible. To evaluate the performance of the algorithm, we apply it to the Solomon's VRPTW instances. It produces a set of good routes and the reasonable number of vehicles.

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A Two-phase Method for the Vehicle Routing Problems with Time Windows (시간대 제약이 있는 차량경로 결정문제를 위한 2단계 해법의 개발)

  • Hong, Sung-Chul;Park, Yang-Byung
    • IE interfaces
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    • v.17 no.spc
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    • pp.103-110
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    • 2004
  • This paper presents a two-phase method for the vehicle routing problems with time windows(VRPTW). In a supply chain management(SCM) environment, timely distribution is very important problem faced by most industries. The VRPTW is associated with SCM for each customer to be constrained the time of service. In the VRPTW, the objective is to design the least total travel time routes for a fleet of identical capacitated vehicles to service geographically scattered customers with pre-specified service time windows. The proposed approach is based on ant colony optimization(ACO) and improvement heuristic. In the first phase, an insertion based ACO is introduced for the route construction and its solutions is improved by an iterative random local search in the second phase. Experimental results show that the proposed two-phase method obtains very good solutions with respect to total travel time minimization.

Vehicle Routing Problem with Time Windows considering Outsourcing Vehicles (외주차량을 고려한 시간제약이 있는 차량경로문제에 대한 연구)

  • Seong, June;Moon, Il-Kyeong
    • Journal of Korean Institute of Industrial Engineers
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    • v.32 no.2
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    • pp.91-97
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    • 2006
  • The vehicle routing problem with time windows (VRPTW) is an important problem in third party logistics and supply chain management. We extend the VRPTW to the VRPTW with overtime and outsourcing vehicles (VRPTWOV) which allows the overtime of drivers and the possibility of using outsourcing vehicles. This problem can be applied to third party logistics companies for managing central distributor-local distributors, local distributor-retailers (or customers), and a manufacturer. We develop a mixed integer programming model and a genetic algorithm. Computational results demonstrate the efficiency of the developed genetic algorithm. We also develop a decision support system based on this genetic algorithm.

A Performance Evaluation of the Variations of Ant Colony Optimization for Vehicle Routing Problems with Time Windows (시간대 제약이 있는 차량경로문제를 위한 Ant Colony Optimization의 변형들의 성능평가)

  • Hong, Sung-Chul;Park, Yang-Byung
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.05a
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    • pp.319-322
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    • 2004
  • 물류/택배업계의 공급사슬관리에서 차량에 의한 고객의 요구 서비스 시간대 만족은 고객의 재고수준을 낮추고 또한 서비스 수준의 향상에 매우 중요한 제약조건이다. 최근에 소개된 메타휴리스틱인 개미해법(Ant Colony Optimization: ACO)은 NP-hard 문제의 해공간 탐색에 있어서 상당한 장점을 가지고 있으나, 시간대 제약이 있는 차량경로문제(Vehicle Routing Problems with Time Windows: VRPTW)에 대한 적용은 아주 미비한 실정이다. 따라서, 본 연구에서는 ACO 를 VRPTW에 적용하여 최선의 차량경로 해를 구하기 위한 여러 변형을 제시하고, 이들의 영향을 다양한 실험문제를 이용하여 분석하고자 한다. 계산실험 결과, 기본 ACO 에 여러 설계 요소들을 추가함에 따라 계산시간이 다소 증가하지만 보다 우수한 차량경로 해를 구할 수 있었다.

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Ant Colony System for Vehicle Routing Problem with Time Window (시간제약이 있는 차량경로문제에 대한 개미군집 시스템 해법)

  • Lee, Sang-Heon;Lee, Seung-Won
    • Journal of the Korean Operations Research and Management Science Society
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    • v.34 no.1
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    • pp.153-165
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    • 2009
  • This paper apollos an ant colony system (ACS) for the vehicle routing problem with time window (VRPTW). The VRPTW is a generalization of the VRP where the service of a customer can begin within the time windows defined by the earliest and latest times when the customer will permit the start of service. The ACS has been applied effectively in geographical environment such as TSP or VRP by meta-heuristic that imitate an ant's biologic special duality in route construction, 3 saving based ACS (SB-ACS) is introduced and its solution is improved by local search. Through iterative precesses, the SB-ACS is shown to drive the best solution. The algorithm has been tested on 56 Solomon benchmarking problems and compared to the best-known solutions on literature. Experimental results shows that SB-ACS algorithm could obtain food solution in total travel distance minimization.

A Tabu Search Algorithm for the Vehicle Routing Problem with Time Window and Dock Capacity Constraints (시간제약과 하역장 용량제약이 있는 차량경로문제에 대한 타부탐색 알고리즘)

  • Zang Heejeong;Lee Kyungsik;Choi Eunjeung;Park Sungsoo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.4
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    • pp.45-60
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    • 2005
  • We consider a vehicle routing problem with time window and dock capacity constraints (VRPTD). In most traditional models of vehicle routing problems with time window (VRPTW), each customer must be assigned to only one vehicle route. However demand of a customer may exceed the capacity of one vehicle, hence at least two vehicles may need to visit the customer We assume that each customer has Its own dock capacity. Hence, the customer can be served by only a limited number of vehicles simultaneously. Given a depot, customers, their demands, their time windows and dock capacities, VRPTD is to get a set of feasible routes which pass the depot and some customers such that all demands of each customer are satisfied Since VRPTD is NP-hard, a meta-heuristic algorithm is developed. The algorithm consists of two Procedures : the route construction procedure and the route scheduling procedure. We tested the algorithm on a number of instances and computational results are reported.

An Interpretation-based Genetic Algorithm and a Post Local Search Method for Vehicle Routing Problems with Time Windows (시간 제약을 갖는 차량 라우팅 문제에서 염색체 해석에 기초한 유전자 알고리듬과 부분 최적화 알고리듬)

  • Yim, Dong-Soon;Oh, Hyun-Seung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.31 no.2
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    • pp.132-140
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    • 2008
  • 본 논문은 시간 제약을 갖는 차량 라우팅 문제를 해결하기 위해 유전자 알고리듬과 부분 최적화 알고리듬을 적용한 방법을 소개한다. 유전자 알고리듬에서의 염색체는 노드를 나타내는 정수의 순열로 표현되어 직접적인 해를 나타내지 않지만, 경험적 방법에 의한 해석을 통해 유효한 해로 변형되도록 하였다. 유전자 알고리듬에 의해 생성된 주어진 수의 우수한 해들에는 세 부분 최적화 방법이 순차적으로 적용되어 보다 좋은 해를 생성하도록 하였다. 부분 최적화 방법들에 의한 해는 다시 유전자 알고리듬의 해로 바뀌지 않도록 하여 두 알고리듬은 느슨하게 연결되도록 하였다. 솔로몬의 데이터를 이용한 실험에서 본 연구에서의 방법이 모든 문제에 대해 우수한 해를 생성함을 나타내었다. 특히, 지금까지 알려진 가장 우수한 경험적 방법에 비교될 만한 결과를 가져옴을 보였다.

Study on Vehicle Routing Problem of Artillery Position Construction for Survivability Support (포병화력 생존성지원을 위한 진지구축경로문제 연구)

  • Moon, Jung-Hyun;Lee, Sang-Heon
    • Journal of Korean Institute of Industrial Engineers
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    • v.37 no.3
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    • pp.171-179
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    • 2011
  • In this paper, we deal with the vehicle routing problem that could establish operational plan of military engineer for survivability support of artillery position construction. We propose VRPTW(vehicle routing problem with time-window) model of special form that considered service level to reflect the characteristics of military operations rather than the logic of economic efficiencies in the objective function. Furthermore we suggest modified particle swarm optimization algorithm for service based vehicle routing problem solution that can be possible to search in complicated and uncertain area and control relation softly between global and local search.

A War-time Engineering Equipment's Assignment and Operation Model (전시 공병장비 할당 및 운용 모형)

  • Jae-Hyeong Lee;Moon-Gul Lee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.46 no.4
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    • pp.294-303
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    • 2023
  • During wartime, the operation of engineering equipment plays a pivotal role in bolstering the combat prowess of military units. To fully harness this combat potential, it is imperative to provide efficient support precisely when and where it is needed most. While previous research has predominantly focused on optimizing equipment combinations to expedite individual mission performance, our model considers routing challenges encompassing multiple missions and temporal constraints. We implement a comprehensive analysis of potential wartime missions and developed a routing model for the operation of engineering equipment that takes into account multiple missions and their respective time windows of required start and completion time. Our approach focused on two primary objectives: maximizing overall capability and minimizing mission duration, all while adhering to a diverse set of constraints, including mission requirements, equipment availability, geographical locations, and time constraints.