• Title/Summary/Keyword: mixed-integer programming

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A Study on Berth Allocation for Navy Surface Vessel Considering Precedence Relationship among Services (서비스 전후 우선순위를 고려한 해군함정의 부두 할당에 관한 연구)

  • 정환식;김승권
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.11a
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    • pp.350-353
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    • 2003
  • Navy surface vessels require pier services such as emergency repair, oil supply, fm loading/unloading, crane, standby readiness, normal repair, gun arrangement, ammunition loading, and food loading during the period in port. The purpose of this study is to establish efficient berth allocation plan for navy surface vessels in home port under the limited resources of piers and equipments. The study suggests Mixed Integer Programing (MIP) model for bath allocation problem, considering precedence relationships among services. For a effective analysis, the model is implemented by ILOG OPL(Optimization Programming Language) Studio 3.1 and ILOG Cplex 7.0. The results of the model show reduction of berth shifts and increasement of service benefits. And thus, it would be a possibility of contribution in the improvement of fleet readiness.

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Computational Study of Cutting Planes for a Lot-Sizing Problem in Branch-and-Cut Algorithm (Branch-and-Cut 알고리즘에서 Lot-Sizing 문제에 대한 Cutting Planes의 전산 성능 연구)

  • Chung, Kwanghun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.40 no.3
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    • pp.23-38
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    • 2015
  • In this paper, we evaluate the strength of three families of cutting planes for a lot-sizing problem. Lot-sizing problem is very basic MIP model for production planning and many strong valid inequalities have been developed for a variety of relaxations in the literature. To use three families of cutting planes in Branch-and-Cut framework, we develop separation algorithms for each cut and implement them in CPLEX. Then, we perform computational study to compare the effectiveness of three cuts for randomly generated instances of the lot-sizing problem.

Export Container Remarshaling Planning in Automated Container Terminals Considering Time Value (시간가치를 고려한 자동화 컨테이너 터미널의 수출 컨테이너 이적계획)

  • Bae, Jong-Wook;Park, Young-Man;Kim, Kap-Hwan
    • Journal of the Korean Operations Research and Management Science Society
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    • v.33 no.2
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    • pp.75-86
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    • 2008
  • A remarshalling is one of the operational strategies considered importantly at a port container terminal for the fast ship operations and heighten efficiency of slacking yard. The remarshalling rearranges the containers scattered at a yard block in order to reduce the transfer time and the rehandling time of container handling equipments. This Paper deals with the rearrangement problem, which decides to where containers are transported considering time value of each operations. We propose the mixed integer programming model minimizing the weighted total operation cost. This model is a NP-hard problem. Therefore we develope the heuristic algorithm for rearrangement problem to real world adaption. We compare the heuristic algorithm with the optimum model in terms of the computation times and total cost. For the sensitivity analysis of configuration of storage and cost weight, a variety of scenarios are experimented.

The extension of hierarchical covering location problem

  • Lee, Jung-Man;Lee, Young-Hoon
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2007.11a
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    • pp.316-321
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    • 2007
  • The hierarchical covering location problem emphasizes the issue of locating of hierarchical facilities in order to maximize the number of customers that can be covered. In the classical HCLP(Hierarchical Covering Location Problem), it is assumed that the customers are covered completely if they are located within a specific distance from the facility, and not covered otherwise. The generalized HCLP is introduced that the coverage of customers is measured to be any real value rather than 0 or 1, where the service level may decrease according to the distance. Mixed integer programming formulation for the generalized HCLP is suggested with a partial coverage of service. Solutions are found using OPL Studio, and are evaluated for various cases.

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A Heuristic Method for Resolving Circular Shareholdings of Korean Large Business Groups (대규모 기업집단의 순환출자 해소를 위한 휴리스틱 기법)

  • Park, Chan-Kyoo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.38 no.4
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    • pp.65-78
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    • 2013
  • Circular shareholding is established when at least three member firms in a business group hold stock in other member firms and form a series of ownership in a circular way. Although there have been many studies which investigated a negative effect of circular shareholding on firm's value, few studies have discussed how to resolve the problem given complicated ownership structures of large business groups. This paper is based on a mixed integer programming model, which was proposed in the author's previous research and can identify the ownership share divested in order to resolve circular shareholding. Since the optimization model becomes too complicated for large business groups and requires a sophisticated software to solve it, we propose a simple heuristic method that can find a good approximate solution to the model. Its applications to twelve Korean large business groups show that the heuristic method is not just computationally attractive but also provides near-optimal solutions in most cases.

The development of the level of repair analysis model with muti-indenture equipment structure (다단계 (multi-indenture) 구조를 갖는 장비의 수리수준 분석 모형 개발)

  • Yun, Won-Yeong;Kim, Gwi-Rae;Lee, Yu-Mi;Jeong, Il-Han;Park, Sam-Jun
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2006.11a
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    • pp.145-150
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    • 2006
  • In terms of that modem equipment become expensive, sophisticated and huge, the cost of developing the equipment is much considered in ILS. Therefore, the model of the level of repair analysis about equipment which have the multi-echelon and multi-indenture are purposed to derive optimal repair policy which mostly satisfy the availability by using the Mixed Integer Programming within the minimum cost.

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Heuristic Approach for Lot Sizing and Scheduling Problem with State Dependent Setup Time

  • Han, Jung-Hee
    • Industrial Engineering and Management Systems
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    • v.10 no.1
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    • pp.74-83
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    • 2011
  • In this paper, we consider a new lot-sizing and scheduling problem (LSSP) that minimizes the sum of production cost, setup cost and inventory cost. Setup carry-over, setup overlapping, state dependent setup time as well as demand splitting are considered. For this LSSP, we develop a mixed integer programming (MIP) model, of which the size does not increase even if we divide a time period into a number of micro time periods. Also, we develop an efficient heuristic algorithm by combining a decomposition scheme with a local search procedure. Test results show that the developed heuristic algorithm finds a good quality (in practice, even better) feasible solution using far less computation time compared with the CPLEX, a competitive MIP solver.

A Heuristic for parallel Machine Scheduling Depending on Job Characteristics (작업의 특성에 종속되는 병렬기계의 일정계획을 위한 발견적 기법)

  • 이동현;이경근;김재균;박창권;장길상
    • Korean Management Science Review
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    • v.17 no.1
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    • pp.41-54
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    • 2000
  • in the real world situations that some jobs need be processed only on certain limited machines frequently occur due to the capacity restrictions of machines such as tools fixtures or material handling equipment. In this paper we consider n-job non-preemptive and m parallel machines scheduling problem having two machines group. The objective function is to minimize the sum of earliness and tardiness with different release times and due dates. The problem is formulated as a mixed integer programming problem. The problem is proved to be Np-complete. Thus a heuristic is developed to solve this problem. To illustrate its suitability and efficiency a proposed heuristic is compared with a genetic algorithm and tabu search for a large number of randomly generated test problems in ship engine assembly shop. Through the experimental results it is showed that the proposed algorithm yields good solutions efficiently.

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Production planning for recycle-oriented manufacturing system (재활용을 고려한 제조시스템의 생산계획)

  • 이경근;송수용;류시욱;윤상국
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.530-533
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    • 2000
  • Recently, Manufacturers have recognized the importance of recycling because of the limitation of natural resources and new and proposed laws and legislations that assign responsibility to manufacturer for the ultimate disposal of their products and the environmental problems. In this paper, products assembled recyclable parts and non-recyclable parts are collected after consumer usage and go into a plant. And the collected recyclable parts are disassembled through the disassembly process and have three attributes - re-usable attribute, re-manufacturing attribute and dumping attribute. In this situation, we deal with a production planning for recycle-oriented manufacturing system. The proposed model maximizing the profit in a system is formulated as a mixed-integer linear programming. And then a numerical example is used to evaluate the effectiveness of the proposed model

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A Splitter Location-Allocation Problem in Designing FTTH-PON Access Networks (FTTH-PON 가입자망 설계에서 Splitter Location-Allocation 문제)

  • Park, Chan-Woo;Lee, Young-Ho;Han, Jung-Hee
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.2
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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.