• 한국산학기술학회논문지
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• 제8권5호
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• pp.1279-1288
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• 2007

시간제한을 가지는 차량경로문제는 배송 및 물류에서 가장 중요한 문제 중의 하나이다. 실제적으로 고객의 서비스를 위하여 주어진 시간 안에 출발해서 배송을 끝마쳐야 한다. 본 연구는 복수 물류센터의 최적차량경로문제를 위하여 유전자 알고리즘을 이용한 2단계 접근방법을 사용한 VRP(Vehicle Routing Problem)모델의 개발이다. 1단계로 구역별로 Clustering한 것은 복수 물류센터의 문제를 쉽게 해결하기 위해 단일 물류센터의 문제로 전환하여 모델을 개발하였다. 2단계로 시간제한을 가지는 최적차량경로를 찾을 수 있는 개선된 유전자 알고리즘을 이용하여 GA-TSP(Genetic Algorithm-Traveling Salesman Problem)모델을 개발하였다. 따라서 본 연구에서 개발한 Network VRP는 ActiveX와 분산객체기술을 이용한 VRP문제의 해를 구하기 위한 전산프로그램을 개발한다.

• 경영과학
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• 제17권2호
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• pp.175-187
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• 2000

The stochastic vehicle routing problem (VRP) is a problem of growing importance since it includes a reality that the deterministic VRP does not have. The stochastic VRP arises whenever some elements of the problem are random. Common examples are stochastic service quantities and stochastic travel times. The solution methodologies for the stochastic VRP are very intricate and regarded as computationally intractable. Even heuristics are hard to develope and implement. On possible way of solving it is to apply a solution for the deterministic VRP. This paper presents a performance evaluation of four simple heuristic for the deterministic VRP is a stochastic environment. The heuristics are modified to consider the time window constraints. The computational results show that some of them perform very well in different cases of the stochastic VRP.

• 산업경영시스템학회지
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• 제35권1호
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• pp.140-147
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• 2012

Vehicle routing problem is one of the traveling salesman problems with various conditions such as vehicle capacity limits, delivery time windows, as well as time dependent speeds in metropolitan area. In this research hourly vehicle moving speeds information in a typical metropolitan area are analyzed to use the results in the design procedure of VRP heuristic. Quality initial vehicle routing solutions can be obtained with adaption of the analysed results of the time periods with no vehicle speed changes. This strategy makes complicated time dependent vehicle speed simple to solve. Time dependent vehicle speeds are too important to ignore to obtain optimum vehicle routing search for real life logistics systems.

• Journal of Information Processing Systems
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• 제5권4호
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• pp.237-242
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• 2009

The classical vehicle routing problem (VRP) can be extended by including customers who want to send goods to the depot. This type of VRP is called the vehicle routing problem with pickups and deliveries (VRPPD). This study proposes a novel way to solve VRPPD by introducing a two-phase heuristic routing algorithm which consists of a clustering phase and uses the geometrical center of a cluster and route establishment phase by applying a two-way search of each route after applying the TSP algorithm on each route. Experimental results show that the suggested algorithm can generate better initial solutions for more computer-intensive meta-heuristics than other existing methods such as the giant-tour-based partitioning method or the insertion-based method.

• 대한산업공학회지
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• 제25권4호
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• pp.490-499
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• 1999

Vehicle routing problem(VRP) is known to be NP-hard problem, and good heuristic algorithm needs to be developed. To develop a heuristic algorithm for the VRP, this study suggests a parallel genetic algorithm(PGA), which determines each vehicle route in order to minimize the transportation costs. The PGA developed in this study uses two dimensional array chromosomes, which rows represent each vehicle route. The PGA uses new genetic operators. New mutation operator is composed of internal and external operators. internal mutation swaps customer locations within a vehicle routing, and external mutation swaps customer locations between vehicles. Ten problems were solved using this algorithm and showed good results in a relatively short time.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회 2005년도 추계학술대회 및 정기총회
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• pp.57-78
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• 2005

차량경로문제의 Set-Partitioning 모형에 적용된 열생성 프로세스에서 차량경로를 생성하는 하위문제는 순회외판원 문제와 같은 combinatorial 구조를 가지므로 연산상의 어려움이 크다. 본 논문은 각 차량경로를 분할하여 하위문제에서 분할된 부분경로를 생성하는 경로분할모형을 소개한다. 열생성이 용이해지는 반면 주문제가 복잡해지는 단점이 있으나 이 모형은 set-partitioning 모형으로 다루기 힘든 크기의 VRP에 접근하도록 한다. 경로분할모형은 최대 199곳의 수요지를 갖는 Symmetric VRP의 실험문제에서 평균93.5%, 수요지수 최대 70곳의 Asymmetric VRP의 실험문제에서 평균 97.6%의 하한값을 도출해 특히 Asymmetric VRP의 경우에서 잘 알려진 다른 하한값 기법들보다 우수함을 보였다. 개발된 Branch-and-Price 프로세스로는 도출된 하한값을 사용하여 수요지 최대 48곳의Asymmetric VRP의 최적해를 구할 수 있었다. 경로분할모형은 성능이 비교되는 다른 모형과 달리 다른 크기의 차량을 다룰 수 있는 장점이 있고, Asymmetric VRP 문제에서는 현재 가장 우수한 하한값을 제시한다. 이러한 점에서 본 모형은 향후 연구가치가 있다고 판단된다.

• Industrial Engineering and Management Systems
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• 제12권2호
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• pp.161-170
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• 2013

Deployment of green transportation in reverse logistics is a key issue for low carbon technologies. To cope with such logistic innovation, this paper proposes a hybrid approach to solve practical vehicle routing problem (VRP) of pickup type that is common when considering the reverse logistics. Noticing that transportation cost depends not only on distance traveled but also on weight loaded, we propose a hierarchical procedure that can design an economically efficient reverse logistics network even when the scale of the problem becomes very large. Since environmental concerns are of growing importance in the reverse logistics field, we need to reveal some prospects that can reduce $CO_2$ emissions from the economically optimized VRP in the same framework. In order to cope with manifold circumstances, the above idea has been deployed by extending the Weber model to the generalized Weber model and to the case with an intermediate destination. Numerical experiments are carried out to validate the effectiveness of the proposed approach and to explore the prospects for future green reverse logistics.

• 한국경영과학회지
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• 제34권1호
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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.

• 대한산업공학회지
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• 제35권1호
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• pp.1-14
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• 2009

The efficiency of transportation requests fulfillment can be increased through extending the problem of vehicle routing and scheduling by the possibility of subcontracting a part of the requests to external carriers. This problem extension transforms the usual vehicle routing and scheduling problems to the more general integrated operational transportation problems. In this contribution, we analyze the motivation, the chances, the realization, and the challenges of the integrated operational planning and report on experiments for extending the plain Vehicle Routing Problem to a corresponding problem combining vehicle routing and request forwarding by means of different sub-contraction types. The extended problem is formalized as a mixed integer linear programming model and solved by a commercial mathematical programming solver. The computational results show tremendous costs savings even for small problem instances by allowing subcontracting. Additionally, the performed experiments for the operational transportation planning are used for an analysis of the decision on the optimal fleet size for own vehicles and regularly hired vehicles.

• 대한산업공학회지
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• 제33권2호
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• pp.265-272
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• 2007

The purpose of Vehicle Routing Problem (VRP) is to design the least costly (distance, time) routes for a fleet of identically capacitated vehicles to serve geographically scattered customers. There may be some restrictions such as the maximal capacity for each vehicle, maximal distance for each vehicle, time window to visit the specific customers, and so forth. This paper is concerned with VRP to minimize the sum of elapsed time from departure, where the elapsed time is defined as the time taken in a moving vehicle from the depot to each customer. It is important to control the time taken from departure in the delivery of perishable products or foods, whose freshness may deteriorate during the delivery time. An integer linear programming formulation is suggested and a heuristic for practical use is constructed. The heuristic is based on the set partitioning problem whose performances are compared with those of ILOG dispatcher. It is shown that the suggested heuristic gave good solutions within a short computation time by computational experiments.