• Title/Summary/Keyword: Mixed Integer Programming Model

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Integrated mathematical programming Approach of Cell formation and facility layout in cellular manufacturing (셀형제조시스템에서 셀형성과 설비배치를 통합한 수리계획모형에 관한 연구)

  • Lee Sang-Wan;Kim Hae-Sik;Cho Sung-Youl
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.28 no.2
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    • pp.94-100
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    • 2005
  • This paper presents the application of integrated mathematical programming approach for the design of cellular manufacturing. The proposed approach is carried out in two phases The first phase concerning exceptional elements(EEs) in cell formation and the second phase facilities layout design. This paper considers the total costs of three important costs for (1) intercellular transfer (2) machine duplication and (3) subcontracting. One of Important issue is the calculation of the number of machines considering the maximum utilization of machines and the available capacity of a machines that can be transferred between cells. Facilities layout design is considered to reflect the real field data taking in to account the operational sequence of the parts to be manufactured. The model is formulated as mixed integer programming that is employed to find the optimal solution.

An Integer Programming Model and Heuristic Algorithm to Minimize Setups in Product Mix (원료의 선택 및 혼합비율의 변경 횟수를 최소화하기 위한 정수계획법 모형 및 근사해 발견 기법(응용 부문))

  • Han, Jung-Hee;Lee, Young-Ho;Kim, Seong-In;Shim, Bo-Kyung
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.127-133
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    • 2006
  • Minimizing the total number of setup changes of a machine increases the throughput and improves the stability of a production process, and as a result enhances the product quality. In this context, we consider a new product-mix problem that minimizes the total number of setup changes while producing the required quantities of a product over a given planning horizon. For this problem, we develop a mixed integer programming model. Also, we develop an efficient heuristic algorithm to find a feasible solution of good quality within reasonable time bounds. Computational results show that the developed heuristic algorithm finds a feasible solution as good as the optimal solution in most test problems. Also, we developed a web based scheduling and monitoring system for a zinc alloy production process using the developed heuristic algorithm. By using this system, we could find a monthly zinc alloy production schedule that significantly reduces the total number of setup changes.

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A Goal Programming Model for Guard Soldier Scheduling (목표계획법을 이용한 경계부대 근무편성에 관한 연구)

  • Kim, Hak-Young;Ryoo, Hong-Seo
    • Journal of the military operations research society of Korea
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    • v.32 no.2
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    • pp.21-39
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    • 2006
  • This paper presents a mixed linear and integer goal programming (GP) model to aid in strategic planning and scheduling of guard soldiers. The proposed model is a general-purpose model, hence can be used to produce an optimal schedule with respect to any user-provided combination of guard post objectives and soldier preferences. We extensively test the usefulness of the model on a real-life dataset from a guard post in the ROK Army with using three objectives set by the guard post and three preferences provided by individual solders. Numerical results and analysis from these experiments show that the proposed guard scheduling model efficiently as well as effectively generates an optimal guard schedule and can also be used for an optimal revision of any existing schedule. In summary, these illustrate that the proposed model can be practically used for optimal planning and scheduling of guard soldiers in guard posts.

Fast Mixed-Integer AC Optimal Power Flow Based on the Outer Approximation Method

  • Lee, Sungwoo;Kim, Hyoungtae;Kim, Wook
    • Journal of Electrical Engineering and Technology
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    • v.12 no.6
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    • pp.2187-2195
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    • 2017
  • In order to solve the AC optimal power flow (OPF) problem considering the generators' on/off status, it is necessary to model the problem as mixed-integer nonlinear programming (MINLP). Because the computation time to find the optimal solution to the mixed-integer AC OPF problem increases significantly as the system becomes larger, most of the existing solutions simplify the problem either by deciding the on/off status of generators using a separate unit commitment algorithm or by ignoring the minimum output of the generators. Even though this kind of simplification may make the overall computation time tractable, the results can be significantly erroneous. This paper proposes a novel algorithm for the mixed-integer AC OPF problem, which can provide a near-optimal solution quickly and efficiently. The proposed method is based on a combination of the outer approximation method and the relaxed AC OPF theory. The method is applied to a real-scale power system that has 457 generators and 2132 buses, and the result is compared to the branch-and-bound (B&B) method and the genetic algorithm. The results of the proposed method are almost identical to those of the compared methods, but computation time is significantly shorter.

A Model and Approaches for Smoothing Peaks of Traction Energy in Timetabling (동력운전 분산 시각표 작성을 위한 수리모형 및 해법)

  • Kim, Kyung-Min;Oh, Seog-Moon
    • Journal of the Korean Society for Railway
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    • v.12 no.6
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    • pp.1018-1023
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    • 2009
  • This paper describes a reduction in the peaks of traction energy for metro railways in timetabling. We develope a mixed integer programming (MIP) model, which minimizes the number of trains running simultaneously. We suggest two approaches. In the first approach, we use the commercial MIP solver, CPLEX. In the second approach, we propose a heuristic algorithm. We apply both methods to the current daily timetable of the Korea Metropolitan Subway. We determine an optimal solution, which results in an improvement of approximately 25% over the current timetable.

A New Optimization Model for Designing Broadband Convergence Network Access Networks

  • Lee Young-Ho;Jung Jin-Mo;Kim Young-Jin;Lee Sun-Suk;Park No-Ik;Kang Kuk-Chang
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1616-1640
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    • 2006
  • In this paper, we deal with a network optimization problem arising from the deployment of Ethernet-based BcN access network. BcN convergence services require that access networks satisfy QoS measures. BcN services have two types of traffics: stream traffic and elastic traffic. Stream traffic uses blocking probability as a QoS measure, while elastic traffic uses delay factor as a QoS measure. Incorporating the QoS requirements, we formulate the problem as a nonlinear mixed-integer programming model. The proposed model seeks to find a minimum cost dimensioning solution, while satisfying the QoS requirement. We propose tabu search heuristic algorithms for solving the problem, and simulate tabu result. We demonstrate the computational efficacy of the proposed algorithm by solving a network design problem.

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An Optimal Matching Model for Allcocating Fighter-Aircraft and Air-operation Base (항공작전 효과를 고려한 전투기와 비행기지 할당 최적화 모형)

  • Sung-Kwang Jang;Moon-Gul Lee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.47 no.3
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    • pp.75-85
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    • 2024
  • Airpower is a crucial force for suppressing military threats and achieving victory in wars. This study evaluates newly introduced fighter forces, considering factors such as fighter performance and power index, operational environment, capacity of each airbase, survivability, and force sustainment capability to determine the optimal deployment plan that maximizes operational effectiveness and efficiency. Research methods include optimization techniques such as MIP(mixed integer programming), allocation problems, and experimental design. This optimal allocation mathematical model is constructed based on various constraints such as survivability, mission criticality, and aircraft's performance data. The scope of the study focuses the fighter force and their operational radius is limited to major Air Force and joint operations, such as air interdiction, defensive counter-air operations, close air support, maritime operations and so on. This study aims to maximize the operational efficiency and effectiveness of fighter aircraft operations. The results of proposed model through experiments showed that it was for superior to the existing deployment plan in terms of operation and sustainment aspects when considering both wartime and peacetime.

Offsetting Inventory Cycle of Items Sharing Storage using Mixed Integer Programming & Genetic Algorithm (혼합정수계획법 및 유전자 알고리즘을 이용한 다품목 재고 시스템의 주문 주기 상쇄에 관한 연구)

  • 문일경;차병철;김선권
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.11a
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    • pp.81-84
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    • 2003
  • The ability to determine the optimal frequencies and offsets for independent and unrestricted ordering cycles for multiple items can be very valuable for managing storage capacity constrained facilities in a supply chain. The complexity of this problem has resulted in researchers focusing on more tractable surrogate problems that are special cases of the base problem. Murthy et al. (European Journal of Operation Research 2003) developed insights leading to solution of the original problem and present a heuristic for offsetting independent and unrestricted ordering cycles for items to minimize their joint storage requirements. However, their study cannot find optimal solution due to the Greedy Heuristic solution procedure. In this paper, we present a complete procedure to find the optimal solution for the model with a integer programming optimization approach and genetic algorithm. Numerical examples are included to compare each model with that of Murthy et at. Research of this type may prove useful in solving the more general problem of selecting order policies to minimize combined holding, ordering, and storage costs.

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A Mathematical Model for Coordinated Multiple Reservoir Operation (댐군의 연계운영을 위한 수학적 모형)

  • Kim, Seung-Gwon
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.779-793
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    • 1998
  • In this study, for the purpose of water supply planning, we propose a sophisticated multi-period mixed integer programming model that can coordinate the behavior of multi-reservoir operation, minimizing unnecessary spill. It can simulate the system with operating rules which are self- generated by the optimization engine in the algorithm. It is an optimization model in structure, but it indeed simulates the coordinating behavior of multi-reservoir operation. It minimizes the water shortfalls in demand requirements, maintaining flood reserve volume, minimizing unnecessary spill, maximizing hydropower generation release, keeping water storage levels high for efficient hydroelectric turbine operation. This optimization model is a large scale mixed integer programming problem that consists of 3.920 integer variables and 68.658 by 132.384 node-arc incidence matrix for 28 years of data. In order to handle the enormous amount of data generated by a big mathematical model, the utilization of DBMS (data base management system)seems to be inevitable. It has been tested with the Han River multi-reservoir system in Korea, which consists of 2 large multipurpose dams and 3 hydroelectric dams. We demonstrated successfully that there is a good chance of saving substantial amount of water should it be put to use in real time with a good inflow forecasting system.

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Development of Optimization Model for Traffic Signal Timing in Grid Networks (네트워크형 가로망의 교통신호제어 최적화 모형개발)

  • 김영찬;유충식
    • Journal of Korean Society of Transportation
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    • v.18 no.1
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    • pp.87-97
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    • 2000
  • Signal optimization model is divided bandwidth-maximizing model and delay-minimizing model. Bandwidth-maximizing model express model formulation as MILP(Mixed Integer Linear Programming) and delay-minimizing model like TRANSYT-7F use "hill climbing" a1gorithm to optimize signal times. This study Proposed optimization model using genetic algorithm one of evolution algorithm breaking from existing optimization model This Proposed model were tested by several scenarios and evaluated through NETSIM with TRANSYT-7F\`s outputs. The result showed capability that can obtain superior solution.

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