• Title/Summary/Keyword: minimizing

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Customer Order Scheduling Problems on Parallel Machines with Job Capacity Restriction

  • Yang, Jaehwan
    • Management Science and Financial Engineering
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    • v.9 no.2
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    • pp.47-68
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    • 2003
  • We consider the customer order scheduling problem with job capacity restriction where the number of jobs in the shop at the same time is fixed. In the customer order scheduling problem, each job is part of some batch (customer order) and the composition of the jobs (product) in the batch is pre-specified. The objective function is associated with the completion time of the batches instead of the completion time of the jobs. We first summarize the known results for the general customer order scheduling problems. Then, we establish some new properties for the problems with job capacity restriction. For the case of unit processing time with the objective of minimizing makespan, we develop a polynomial-time optimal procedure for the two machine case. For the same problem with a variation of no batch alternation, we also develop a polynomial-time optimal procedure. Then, we show that the problems with the objectives of minimizing makespan and minimizing average batch completion time become NP-hard when there exist arbitrary number of machines. Finally, We propose optimal solution procedures for some special cases.

Minimizing the Measurement Error from Gas Compositions of Gas Vent in Sanitary Landfill (쓰레기 매립지 가스 포집관에서 가스조성에 따른 계측오차의 최소화)

  • 이해승;이문형
    • Journal of environmental and Sanitary engineering
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    • v.17 no.1
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    • pp.28-35
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    • 2002
  • A methods of minimizing the measurement error brought from gas compositions was proposed by Hot wire Anemometer which don't have measurement resistance to calculate of gas vent in sanitary landfill. It was determined measurement error to compared velocity at the center of pipe to calculate using rotor meter and density gas compositions with velocity at the center of pipe to calculate using water head indicator which don't have measurement resistance. Considering the methods of minimizing gas velocity in sanitary landfill using hot wire anemometer and rotor meter, it was found to minimize within 10% as error of gas vent in sanitary landfill.

Valuation of Options in Incomplete Markets (불완전시장 하에서의 옵션가격의 결정)

  • Park, Byungwook
    • Journal of the Korean Operations Research and Management Science Society
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    • v.29 no.2
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    • pp.45-57
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    • 2004
  • The purpose of this paper is studying the valuation of option prices in Incomplete markets. A market is said to be incomplete if the given traded assets are insufficient to hedge a contingent claim. This situation occurs, for example, when the underlying stock process follows jump-diffusion processes. Due to the jump part, it is impossible to construct a hedging portfolio with stocks and riskless assets. Contrary to the case of a complete market in which only one equivalent martingale measure exists, there are infinite numbers of equivalent martingale measures in an incomplete market. Our research here is focusing on risk minimizing hedging strategy and its associated minimal martingale measure under the jump-diffusion processes. Based on this risk minimizing hedging strategy, we characterize the dynamics of a risky asset and derive the valuation formula for an option price. The main contribution of this paper is to obtain an analytical formula for a European option price under the jump-diffusion processes using the minimal martingale measure.

Loss Minimizing Vector Control of Interior Permanent Magnet Synchronous Motor (매입형 영구자석 동기전동기의 최소 손실 벡터제어)

  • Chung, Euihoon;Lee, Yongjae;Ha, Jung-Ik
    • The Transactions of the Korean Institute of Power Electronics
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    • v.20 no.4
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    • pp.330-336
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    • 2015
  • This paper presents a loss-minimizing vector control method for interior permanent magnet synchronous motor (IPMSM). Conventionally, maximum torque per ampere (MTPA) control, which minimizes copper loss, has been widely used in industry. Iron loss, however, is not considered in MTPA control. In this paper, the loss model, including iron loss and copper loss, is derived to further reduce drive loss. The loss-minimizing vector controller is implemented based on the loss model. The controller generates optimal current vectors according to the operating conditions. The performance and validity of the proposed method are proved by experimental results through comparison with conventional methods.

Applications of System Loss Sensitivity Index to Power Systems (손실감도지표의 전력계통 적용)

  • Lee, Sang-Jung
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.2
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    • pp.56-61
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    • 2000
  • In the paper, the system loss sensitivity index that implies the incremental system loss with respect to the change of bus power is derived using optimization technique. The index λ reaches $\infty$ at critical loading point and can be applied to actual power systems for following purposes. 1) Evaluation of system voltage stability 2)Optimal investment of reactive power focused on minimizing system loss and maximizing system voltage stability 3)Optimal re-location of reactive power focused on minimizing system loss and maximizing system voltage stability 4)Optimal load shedding in case of severe system contingency focused on minimizing system loss and maximizing system voltage stability. Case studies for each application have proved their effectiveness.

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A Study on the System Loss Minimizing Algorithm by Optimal Re-location of Static Condenser Using System Power Loss Sensitivity (계통손실 감소를 위한 전력용 콘덴서의 適正 再配置에 대한 연구)

  • 이상중;김건중;정태호;김원겸;김용배
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.44 no.1
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    • pp.21-24
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    • 1995
  • The larger and the more complicated the system size and configuration grow, the more serious the system loss problem becomes. Exessive system loss causes severs system voltage depression, which even may result in system voltage collapse. This paper proposes an effective tool for minimizing the system power loss by optimal re-location of the static condenser based on the system loss sensitivity index .lambda.$_{Q}$. It is possible to determine the optimal location and amount of VAR investment for minimizing the system loss by priority of .lambda.$_{Q}$ index given for each bus. Several computational techniques for avoiding divergency of the load flow solution are proposed. The loss sensitivity index .lambda.$_{Q}$ uses information of normal power flow equations and their Jacobians. Two case studies proved the effectiveness of the algorithm proposed.posed.

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A Study on the Heuristic Solution for n/m Job-Shop Scheduling Problems of Slack Degree (Slack Degree에 의한 n/m Job-Shop 스케줄링 문제의 발견적 해법에 관한 연구)

  • 김제홍;조남호
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.39
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    • pp.275-284
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    • 1996
  • It can be made a definition that scheduling is a imposition of machinery and equipment to perform a collection of tasks. Ultimately scheduling is an assessment of taking order for which would be perform. So it is called "sequencing" in other words. In a job shop scheduling, the main object is to making delivery in accordance with the due date and order form customer, not to producing lots of quantity with minimizing mean flow time in a given time. Actually, in a company, they concentrate more in the delivery than minimizing the mean flow time. Therefore this paper suggest a new priority dispatching rule under consideration as below in a n/m job shop scheduling problem with due date. 1. handling/transportation time, 2. the size of customer order With this algorithm, we can make a scheduling for minimizing the tardiness of delivery which satisfy a goal of production.roduction.

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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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A sutyd on Production Scheduling and Capacity Requirements in Discrete Demand, Fixed Production Quantity System (이산수요, 고정량 생산시스템의 생산일정과 소요용량에 관한 연구)

  • 김만수;강석호
    • Journal of the Korean Operations Research and Management Science Society
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    • v.13 no.2
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    • pp.59-65
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    • 1988
  • This paper discusses the problem of coordinating aggregate planning and production schedules, minimizing the combined set-up inventory and capacity costs. In this study, by using the relation of fixed production quantity and the number of set-up we develop a heuristirc procedure of solving the discrete demand, fixed production quantity, variable capacity problem. First, we obtain the trade-off between set-up cost and capacity cost, then search the point minimizing the combined inventory and capacity costs.

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The multi-objective planning for minimizing tardiness and maximizing resource utilization in a multi-plant supply chain (다중플랜트 생산 공급망 계획에서 납기지연 최소화 및 자원이용 최대화를 위한 다목적 계획)

  • 한만형;문치웅;김종수
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2001.10a
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    • pp.269-272
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    • 2001
  • In this paper, we presents a systematic methodology for minimizing tardiness and maximizing resource utilization in a multi-plant supply chain. A methodology is represented to a multi-objective mathematical program model. The model offers flexible and efficient multi-plant planning and scheduling. Also, We develope a realistic and flexible planning model using the genetic algorithm to solve the model.

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