• Title/Summary/Keyword: mixed-integer programming

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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.

A Study on Berth Allocation for Navy Surface Vessels Considering Precedence Relationships among Services (서비스 전후 우선순위를 고려한 해군함정의 선석 할당에 관한 연구)

  • Jung, Whan-Sik;Kim, Jae-Hee;Kim, Sheung-Kwon
    • Journal of Navigation and Port Research
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    • v.28 no.1
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    • pp.83-90
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    • 2004
  • Navy surface vessels require pier services such as emergency repair, oil supply, arm loading / unloading, craning, 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. This study suggests Mixed Integer Programming model for berth allocation problem, considering precedence relationships among services. For an 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.

Development of Hedging Rule for Drought Management Policy Reflecting Risk Performance Criteria of Single Reservoir System (단일 저수지의 위험도 평가기준을 고려한 가뭄대비 Hedging Rule 개발)

  • Park, Myeong-Gi;Kim, Jae-Han;Jeong, Gwan-Su
    • Journal of Korea Water Resources Association
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    • v.35 no.5
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    • pp.501-510
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    • 2002
  • During drought or impending drought period, the reservoir operation method is required to incorporate demand-management policy rule. The objective of this study is focused to the development of demand reduction rule by incorporating hedging-effect for a single reservoir system. To improve the performance measure of the objective function and constraints, we could incorporate three risk performance criteria proposed by Hashimoto et al. (1982) by mixed-integer programming and also incorporate successive linear programming to overcome nonlinear hedging term from the previous study(Shih et al., 1994). To verify this model, this hedging rule was applied to the Daechung multi-purpose dam. As a result, we could evaluate optimal hedging parameters and monthly trigger volumes.

A Study of Optimal Operation Policy using Risk Evaluation Criteria(II) (for the Han River Reservoirs System) (위험도 평가기준을 적용한 저수지 최적운영방안 연구(II) (한강수계 저수지군을 중심으로))

  • Park, Myeong-Gi;Kim, Jae-Han;Jeong, Gwan-Su
    • Journal of Korea Water Resources Association
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    • v.35 no.1
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    • pp.51-64
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    • 2002
  • In this study, the formulation of the developed mixed-integer programming model for a multi-reservoir system including hydro-electric power generation (park et al., 2001) has been improved for multiple reservoir system operation using risk evaluation criteria. Sequential linear programming(SLP) was applied for the linearization of the hydro-electric energy term in the model. In order to allocate monthly reservoir release reasonably the value of weight for hydro-electric energy was assigned by level of power generation hour. The improved model was applied to the five reservoirs system in the Han river. And could be confirmed the availibility of new formulation appling risk evaluation criteria.

A Study on Optimal Airspace Design for Continuous Climb Operation (연속상승운항을 위한 최적 공역 설계에 관한 연구)

  • Kim, Eun-Young;Hong, Sung-Kwon;Lee, Keum-Jin
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.23 no.2
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    • pp.15-20
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    • 2015
  • This paper introduces a new airspace design method for continuous climb operation (CCO). The optimization problem is formulated as Mixed-Integer Linear Program (MILP) to maximize the upper limits of altitude on the waypoints to facilitate continuous climb for aircraft. In the proposed method, the interactions with other flight procedures are considered as well as various aircraft flight performances. The proposed method is applied to one of the departure procedures of Incheon International Airport (ICN) to demonstrate its performances.

Optimal Generation Asset Arbitrage In Electricity Markets

  • Shahidehpour Mohammad;Li Tao;Choi Jaeseok
    • KIEE International Transactions on Power Engineering
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    • v.5A no.4
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    • pp.311-321
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    • 2005
  • A competitive generating company (GENCO) could maximize its payoff by optimizing its generation assets. This paper considers the GENCO's arbitrage problem using price-based unit commitment (PBUC). The GENCO could consider arbitrage opportunities in purchases from qualifying facilities (QFs) as well as simultaneous trades with spots markets for energy, ancillary services, emission, and fuel. Given forecasted hourly market prices for each market, the GENCO's generating asset arbitrage problem is formulated as a mixed integer program (MIP) and solved by a branch-and-cut algorithm. A GENCO with 54 thermal and 12 combined-cycle units is considered for analyzing the proposed formulation. The proposed case studies illustrate the significance of simultaneous arbitrage by applying PBUC to multi-commodity markets.

A Study on the Optimization Technique for IC Compaction Problem (IC 밀집화를 위한 최적기술에 대한 연구)

  • Yi, Cheon-Hee
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.115-123
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    • 1989
  • This paper describes a new method of mask compaction to formulate a mixed integer linear programming problem from a user defined stick diagram. By solving this mixed integer program, a compacted and design rule violation free layout is obtained. Also, a new efficient algorithm is given which solves the longest problem in the constraint graph.

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Optimal design of offshore production considering market demand (시장 수요를 고려한 Offshore Production의 최적화 설계)

  • Kim, Chang-Su;Kim, Si-Hwa
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2014.10a
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    • pp.53-55
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    • 2014
  • Offshore 에서의 oil & gas 생산은 해상이라는 환경으로 인한 고유의 특성 때문에 항상 다수의 변수들에 영향을 받으며, 막대한 비용이 소요되기 때문에 비용을 최소화하며, 비용 대비 수익을 최대화시키기 위한 optimal design이 필수이다. 본 논문은 가상의 offshore plant와 이에서 생산된 oil의 수요지들을 설정하여 시장수요에 따른 offshore 생산의 최적화 문제를 연구대상으로 하며, 다수의 offshore oil fields를 보유한 major oil company가 당면할 수 있는 offshore production에 관한 문제를 일반화하여 정의하고, 이윤을 극대화시킬 수 있는 최적화 모형을 혼합정수계획모형(mixed integer programming)으로 정식화 하였다. 최적화 모형의 해는 Microsoft office excel solver를 통해 구하였으며 그 계산실험의 결과를 요약하여 보고한다.

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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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A Hybrid Heuristic Approach for Supply Chain Planningwith n Multi-Level Multi-Item Capacitated Lot Sizing Model (자원제약하의 다단계 다품목 공급사슬망 생산계획을 위한 휴리스틱 알고리즘)

  • Shin Hyun-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.1
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    • pp.89-95
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    • 2006
  • Planning distributed manufacturing logistics is one of main issues in supply chain management. This paper proposes a hybrid heuristic approach for the Multi-Level, multi-item Capacitated Lot Sizing Problem (MLCLSP) in supply chain network. MLCLSP corresponds to a mixed integer programming (MIP) problem. With integer variable solutions determined by heuristic search, this MIP problem becomes linear program (LP). By repeatedly solving the relaxed MIP problems with a heuristic search method in a hybrid manner, this proposed approach allocates finite manufacturing resources fur each distributed facilities and generates feasible production plans. Meta heuristic search algorithm is presented to solve the MIP problems. The experimental test evaluates the computational performance under a variety of problem scenarios.

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