• 산업공학
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• 제24권4호
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• pp.341-350
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• 2011

This paper considers a problem of locating both distribution centers and retailers in a zone-dependent two-level distribution network where either a distribution center or a retailer should be located in each zone. Customer demands of each zone should be satisfied directly from either its own distribution center or its own retailer being supplied from a distribution center of another zone. The objective of the proposed problem is to minimize total cost being composed of distribution center/retailer setup costs and transportation costs. In the analysis, the problem is proved to be NP-hard, so that a branch-and-bound algorithm is derived for the problem. Numerical experiments show that the proposed branch-and-bound algorithm provides the optimal solution efficiently for some small problems.

• 한국경영과학회지
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• 제36권2호
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• pp.1-14
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• 2011

In this paper, we deal with an access network design problem of fiber-to-the-home passive optical network (FTTH-PON). The FTTH-PON network design problem seeks to minimize the total cost of optical splitters and cables that provide optical connectivity between central office and subscribers. We develop a flow-based mixed integer programming (MIP) model with nonlinear link cost. By developing valid inequalities and preprocessing rules, we enhance the strength of the proposed MIP model in generating tight lower bounds for the problem. We develop an effective Tabu Search (TS) heuristic algorithm that provides good quality feasible solutions to the problem. Computational results demonstrate that the valid inequalities and preprocessing rules are effective for improving the LP-relaxation lower bound and TS algorithm finds good quality solutions within reasonable time bounds.

• 한국경영과학회지
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• 제11권1호
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• pp.24-35
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• 1986

We investigate various methods of the Benders decoposition algorithm in its application to the simple plant location problem. We developed six variants. The master problem may be relaxed as an LP problem up to an appropriate point in time, or need not be solved to the optimality before a cut is added. Furthermore, since the subproblem is highly degenerated, we can generate more than one cuts at a time. The efficiency of the methods are examined using a sample problem. The result showed that the adding two-cut method was superior to the standard method. The LP relaxation and the non-optimization of the master program greatly improved the efficiency. Applying the LP relaxation method, we were able to reduce the computing time by two thirds of the time required by the standard method.

• Journal of applied mathematics & informatics
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• 제33권1_2호
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• pp.157-172
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• 2015

We introduce a non-Euclidean metric for transportation systems with a defined minimum transportation cost (initial fare) and investigate the continuous single-facility Weber location problem based on this metric. The proposed algorithm uses the results for solving the Weber problem with Euclidean metric by Weiszfeld procedure as the initial point for a special local search procedure. The results of local search are then checked for optimality by calculating directional derivative of modified objective functions in finite number of directions. If the local search result is not optimal then algorithm solves constrained Weber problems with Euclidean metric to obtain the final result. An illustrative example is presented.

• 경영과학
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• 제25권2호
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• pp.73-80
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• 2008

The location area planning is to assign cells to the location areas of a wireless communication network in an optimum manner. The two important cost components are cost of location update and cost of paging that are of conflicting in nature; i.e., minimizing the registration cost might increase the search cost. Hence, it is important to find a compromise between the location update and paging operations such that the cost of mobile terminal location tracking cost is a minimum. The complete mobile network is divided into location areas. Each location area consists of a group of cells. In fact this is shown to be an NP-complete problem in an earlier study. In this paper, we use an ant colony optimization method to obtain the best/optimal group of cells for a given a network.

• 한국경영과학회:학술대회논문집
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• 한국경영과학회/대한산업공학회 2003년도 춘계공동학술대회
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• pp.137-144
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• 2003

We consider Two-echelon Single source Capacitated Facility Location Problem (TSCFLP). TSCFLP is a variant or Capacitated Facility Location Problem (CFLP). which has been an important issue in boa academic and industrial aspects. Given a set or possible facility locations in two echelons (warehouse / plant), a set or customers, TSCFLP is a decision problem to find a set or facility locations to open and to determine an allocation schedule that satisfies the demands or the customers and the capacity constraints or the facilities, while minimizing the overall cost. It ran be shown that TSCFLP Is strongly NP-hard For TSCFLf, few algorithms are known. which are heuristics. We propose a disaggregated version or the standard mixed integer programming formulation or TSCFLP We also provide a class or valid Inequalities Branch-and-price algorithm with rutting plane method Is used to find an optimal solution Efficient branching strategy compatible with subproblem optimization problems Is also provided. We report computational results or tests on 15 randomly generated instances.

• 산업공학
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• 제22권2호
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• pp.153-164
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• 2009

An effective management for reverse flows of products such as reuse, repair and disposal, has become an important issue for every aspect of business. In this paper, we study the Location-Routing Problem (LRP) in the multi-stage closed-loop supply chain network. The closed-loop supply chain in this study integrated both forward and reverse flows. In forward flow, a factory, Distribution Center (DC) and retailer are considered as usual. Additionally in reverse flow, we consider the Central Returns collection Center (CRC) and disposal facility. We propose a mixed integer programming model for the design of closed-loop supply chain integrating both forward and reverse flows. Since the LRP belongs to an NP-hard problem, we suggest a heuristic algorithm based on genetic algorithm. For some test problems, we found the optimal locations and routes by changing the numbers of retailers and facility candidates. Furthermore, we compare the efficiencies between open-loop and closed-loop supply chain networks. The results show that the closed-loop design is better than the open one in respect to the total routing distance and cost. This phenomenon enlarges the cut down effect on cost as an experimental space become larger.

• 대한교통학회지
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• 제26권3호
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• pp.145-153
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• 2008

본 연구에서는 천연가스버스 충전소 위치 선정의 객관성과 효율성을 확보하기 위한 노력의 일환으로 공간적 접근성과 통행 비용을 고려한 천연가스 충전소 입지선정 모형을 개발하였다. 본 연구에서 제시한 충전소 입지선정 모형은 고정식 충전소를 대상으로 하였으며, 2단계로 구성되었다. 1단계에서는 천연가스버스의 노선 기종점으로부터 이동거리 제약조건을 만족하는 충전소 입지 대안들을 Heuristic Algorithm을 통해 선정하였으며, 모형의 2단계에서는 변형된 Transportation Problem을 이용하여 충전소 입지대안별 최소 통행비용을 산출하고 이를 충전소의 설치 및 운영비용과 비교분석하여 충전소 최적 입지대안을 도출하였다. 본 모형의 적용가능성 분석을 위해 수도권내의 대표적 중소도시인 안양시를 대상으로하여 천연가스버스 수요량에 따른 충전소의 입지와 규모를 산출하였다. 본 연구를 통해 객관적이고 합리적인 천연가스 충전소 입지선정 방법론의 기틀을 제시함으로써 향후 천연가스버스의 원활한 보급에 기여할 수 있을 것으로 판단된다.

• 한국인터넷방송통신학회논문지
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• 제12권2호
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• pp.135-143
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• 2012

요본 논문은 혈액의 총 배송비용 최소화와 배송 허용시간 $T^*$ 조건을 만족시키는 최적의 물류센터 위치를 결정하는 알고리즘을 제안하였다. Zhang과 Yang은 각 지역에서 최대 거리에 위치한 2개 지점의 평균값이 배송제약시간보다 작은 지점의 위치를 이동시키는 방법을 제안하였으나 최단거리 계산 오류로 인해 물류센터 위치를 잘못 선정하였다. 제안된 알고리즘은 지역 간 최단거리 $l_{ij}$를 구하여 $_{max}l_{ij}{\leq}L^*$인 지점과 $l_{ij}>L^*$인 경로 $P_{ij}=v_i,v_k,{\cdots},v_l,v_j$에 대해 ($v_i,v_k$)와 ($v_j,v_l$)로 $l_{ij}-L^*$ 위치를 이동시킨 지점들 중에서 $_{max}l_{ij}{\leq}L^*$인 지점들을 최종 후보 물류센터 위치로 결정하였다. 이들 후보 지점들 중 총 배송비용이 최소가 되는 지점을 최적의 물류센터 지점으로 결정하였다.

• 한국경영과학회지
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• 제8권1호
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• pp.19-26
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• 1983

This paper deals with the problem of locating facilities with upper and lower capacity bounds in a single level physical distribution system at minimum total costs. Several known schemes for location problems with upper capacity bounds only are successfully extended to our case and then implemented into our branch ana bound solution procedure. Computational experiments with twelve test problems suggest the effectiveness of our approach by showing that only a small amount of additional computation is required for our problem as compared to that for the problems with upper capacity bounds.