• 제목/요약/키워드: 혼합 정수계획법

검색결과 103건 처리시간 0.024초

혼합정수계획법을 활용한 도로포장 보수구간 선정 최적화 연구 (Optimal Road Maintenance Section Selection Using Mixed Integer Programming)

  • 조건영;임희종
    • 한국도로학회논문집
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    • 제19권3호
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    • pp.65-70
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    • 2017
  • PURPOSES : Pavement Management System contains the data that describe the condition of the road. Under limited budget, the data can be utilized for efficient plans. The objective of this research is to develop a mixed integer program model that maximizes remaining durable years (or Lane-Kilometer-Years) in road maintenance planning. METHODS : An optimization model based on a mixed integer program is developed. The model selects a cluster of sectors that are adjacent to each other according to the road condition. The model also considers constraints required by the Seoul Metropolitan Facilities Management Corporation. They select two lanes at most not to block the traffic and limit the number of sectors for one-time construction to finish the work in given time. We incorporate variable cost constraints. As the model selects more sectors, the unit cost of the construction becomes smaller. The optimal choice of the number of sectors is implemented using piecewise linear constraints. RESULTS : Data (SPI) collected from Pavement Management System managed by Seoul Metropolitan City are fed into the model. Based on the data and the model, the optimal maintenance plans are established. Some of the optimal plans cannot be generated directly in existing heuristic approach or by human intuition. CONCLUSIONS:The mathematical model using actual data generates the optimal maintenance plans.

신재생에너지원을 고려한 집단에너지 경제성평가 방법론에 관한 연구 (A Study on the Method about the Economic Feasibility Estimation Considering Renewable Energy)

  • 신혜경;최영준;최인선
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2008년도 추계학술대회 논문집
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    • pp.372-374
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    • 2008
  • Korea classified into a development country when UNFCCC was concluded in 1995. So Korea doesn't have a GHG reduction duty until 2012. As the UNFCCC is strengthened, recently there is a growing interest in renewable energy and energy usage efficiency improvement for reducing GHG emission. It is associated with CES and renewable energy. CES is a total energy (heat, cooling and power)supplier in aggregated demand zone like a hotel, building, hospital and redevelopment district using CHP and it improves energy usage efficiency. At present, renewable energy is needed for GHG reduction duty but renewable energy doesn't have economic feasibility. So renewable energy is needed various support system to popularize which is a FIT and RPS. Especially RPS is carrying out instead of FIT in many advanced country and it will be inroduced in Korea. RPS is a duty which electricity service provider must guarantee renewable energy as much as specific ratio of total capacity. Therefore this study conducts an economic feasibility estimation of CES considering renewable energy when RPS will introduced in the future.

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0-1 혼합정수계획법을 이용한 LCD 패널 절단 문제 최적화 (Optimization of LCD Panel Cutting Problem Using 0-1 Mixed Integer Programming)

  • 김기동;박현지;심윤섭;전태보
    • 센서학회지
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    • 제26권4호
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    • pp.274-279
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    • 2017
  • LCD(Liquid Crystal Display) panel cutting problem is a sort of two dimensional cutting stock problem. A cutting stock problem is problem that it minimizes the loss of the stock when a stock is cut into various parts. In the most research of the two dimensional cutting stock problem, it is supposed that the relative angle of a stock and parts is not important. Usually the angle is regarded as horizontal or perpendicular. In the manufacturing of polarizing film of LCD, the relative angle should be maintained at some specific angle because of the physical and/or chemical characteristics of raw material. We propose a mathematical model for solving this problem, a two-dimensional non-Guillotine cutting stock problem that is restricted by an arranged angle. Some example problems are solved by the C++ program using ILOG CPLEX classes. We could get the verification and validation of the suggested model based on the solutions.

협대역 통신시스템을 위한 전처리기-등화기 구조의 FIR 여파기 설계 (Design of FIR filters with Prefilter-Equalizer Structure for Narrowband Communication Systems)

  • 오혁준;안희준
    • 한국통신학회논문지
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    • 제30권6C호
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    • pp.577-584
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    • 2005
  • 본 연구는 협대역 통신시스템을 위한 전처리기-등화기 구조의 여파기에서, 곱셈기를 사용하지 않는 최소 복잡도의 디지털 FIR 여파기를 설계하는 방법을 제안한다. 제안하는 여파기는 순환 다항식(cyclotomic polynomial, CP) 여파기와 2차 내삽 다항식(interpolated second order polynomial, ISOP) 등화기로 구성되며, 이 두 여파기가 동시에 혼합 정수 선형 계획법(mixed integer linear programming (MILP))으로 최적 설계되어 최소의 복잡도를 갖는 특성을 갖게 된다. 제안된 방식으로 설계된 여파기들은, 설계 규격을 만족하면서도 기존의 여파기에 비하여 복잡도면에서 월등히 간단함을 확인하였다.

협대역 응용 시스템을 위한 전처리기-등화기 구조의 IIR 여파기 설계 방법 (Design of IIR Filters with Prefilter-Equalizer Structure for Narrowband Applications)

  • 오혁준;안희준
    • 대한전자공학회논문지SP
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    • 제42권4호
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    • pp.143-152
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    • 2005
  • 본 연구는 협대역 응용 시스템을 위한 전처리기-등화기 구조의 여파기에서, 최소의 복잡도를 갖는 곱셈기 없는 디지털 IIR 여파기의 설계 방식을 제안한다. 제안하는 여파기는 순환 다항식 (cyclotomic polynomial (CP)) 여파기와 1차 내삽 다항식(interpolated second order polynomial (EOP))을 근간으로 하는 al1-pole 등화기로 구성 되며, 이 두 여파기가 동시에 혼합 정수 선형계획법(miked integer linear programming (MILP))으로 최적 설계된다. 설계된 여파기는 최소의 복잡도를 갖는 특성을 가지고 있다. 뿐만 아니라, 이 MILP 방식은 계산 복잡도와 위상 응답의 비선형 특성을 모두 최소화하도록 설계한다. 설계 예제를 통하여 제안된 설계 방식으로 설계된 여파기는 구현 요구사항을 만족하면서 기존의 설계 방식에 비하여 복잡도면에서 월등히 우수한 특성을 보임을 확인하였다.

혼합정수계획법을 이용한 천연가스(LNG) 산업의 자가발전소 건설에 대한 경제성 분석 (Economics of Self-Generation by Natural Gas Industry Using the Mixed Integer Program)

  • 이정동;변상규;김태유
    • 산업공학
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    • 제13권4호
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    • pp.658-667
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    • 2000
  • Seasonal variation of natural gas demand coupled with rigid and stable import pattern of gas represents the characteristic feature of the Korean Liquified Natural Gas(LNG) industry. This attribute has required a huge amount of investment for the construction of storage facility. Thus, to minimize the supply cost, it is legitimate to reduce storage requirement itself. In this study, we combine three alternative methods to deal with the storage requirement to minimize the supply cost. Those are (1) adding additional storage tanks, (2) inducing large firm customers, and (3) constructing gas-turbine self generation facilities. Methodologically, we employ the mixed integer program (MIP) to optimize the system. The model also consider demand and price-setting scheme in separate modules. From the results, it is shown that if alternatives are combined optimally, a number of storage tanks can be reduced substantially compared with the original capacity plan set by the industry authorities. We perform various sensitivity analyses to check the robustness of the results. The methodology presented in this study can be applied to the other physical network industry, such as hydraulics. The empirical results will shed some light on the rationalization of capacity planning of the Korean natural gas industry.

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로트 크기 결정 문제의 새로운 혼합정수계획법 모형 및 휴리스틱 알고리즘 개발 (An Alternative Modeling for Lot-sizing and Scheduling Problem with a Decomposition Based Heuristic Algorithm)

  • 한정희;이영호;김성인;박은경
    • 대한산업공학회지
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    • 제33권3호
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    • pp.373-380
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    • 2007
  • 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 and overlapping as well as demand splitting are considered. Also, maximum number of setups for each time period is not limited. For this LSSP, we have formulated 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 have developed an efficient heuristic algorithm by combining decomposition scheme with local search procedure. Test results show that the developed heuristic algorithm finds good quality (in practice, even better) feasible solutions using far less computation time compared with the CPLEX, a competitive MIP solver.

혼합 정수 선형 계획법 기반의 최적 경제 급전을 활용한 분산형 열병합 발전원의 송전선로 건설비용 회피 편익계산 (Calculating the Benefit of Distributed Combined Heat Power Generators from Avoiding a Transmission Expansion Cost by Solving a Mixed Integer Linear Programming)

  • 권욱현;박용기;노재형;박종배;이두희
    • 전기학회논문지
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    • 제68권4호
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    • pp.513-522
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    • 2019
  • We calculate the benefit of distributed combined heat power generators from avoiding a transmission expansion cost by building distributed generators near electricity demand centers. We determine a transmission expansion plan by solving a mixed integer linear problem, where we modify capacities of existing transmission lines and build new transmission lines. We calculate the benefit by comparing the sum of generation and transmission expansion costs with or without distributed generators through two simulation frames. In the first frame, for the current demand, we substitute existing distributed generators for non-distributed generators and measure an additional cost to balance the generation and demand. In the second frame, for increased future demand, we compare the cost to invest only in distributed generators to the cost to invest only in non-distributed generators. As a result, we show that the distributed generators have at least 5.8 won/kWh of the benefit from avoiding the transmission expansion cost.

혼합정수 계획법을 이용한 전략적 입지선정 -자동차 SCM을 중심으로- (Design of Mixed Integer Linear Programming Model for Strategic Location Decision -Focused on the Automotive Industry SCM-)

  • 하영규;우수한
    • 무역학회지
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    • 제46권2호
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    • pp.213-228
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    • 2021
  • In recent year, US government requires local investment ,unlike in the past, when import restrictions and tariff were imposed. In this situation, many companies are considering new investment in the US and entering the local market. However, research on the optimal investment plan along with the case analysis on trade regulation is extremely limited and more research needs to be conducted. Accordingly, this study aims to suggest the implications and countermeasure of the SCM and logistical perspective by studying the optimal measures for the new investment of each company due to trade regulation. As a research method, the gravity location model, Mixed Integer Linear Programming Model were used to select the optimal automobile manufacturing factory considering each state's population. This study will be implication of SCM and logistics perspective not only for companies considering new investment in the US but also for the government to conduct trade negotiations. In the future, it is expected that the US trade pressure will increase and affect Korea in many ways. Therefore, in order to cope with such difficult situation in a timely manner, continuous research considering various possibilities is needed in the future.

클라우드 서비스 중개를 위한 수리과학 모형연구 (A Mathematical Programming Approach for Cloud Service Brokerage)

  • 장병윤;;윤승현;서동원
    • 한국시뮬레이션학회논문지
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    • 제23권4호
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    • pp.143-150
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    • 2014
  • 클라우드 컴퓨팅은 가정과 비즈니스 컴퓨팅에 있어 빠르게 확산되고 있다. 이러한 변화에 따라 수년 내에 다양한 클라우드 서비스를 제공하는 클라우드 서비스 공급자의 수가 폭발적으로 증가할 것으로 예측된다. 하지만 클라우드는 하나의 독립체가 아니고 서로 단절되어 있는 많은 응용 프로그램(SaaS)과 기반시설(IaaS), 상이한 플렛폼 서비스(PaaS)들의 집합으로 볼 수 있다. 클라우드 중개방법(brokering mechanism)은 산재되어 있는 서비스들의 집합을 통합하고 편리하게 유용한 서비스를 다양한 사용자에게 제공할 수 있게 하기 때문에 서로 상이한 클라우드 시장을 하나의 통상적 서비스로 변환시키는데 있어 필수적이다. 따라서 CSBs(클라우드 서비스 중개자들)는 사용자와 CSP(클라우드 서비스 제공자)사이의 거리를 최소화하고 예약과 on-demand 서비스의 비용을 최소화하는 운영전략을 찾을 필요가 있다. 이를 위하여 본 연구에서는 클라우드 서비스의 비용과 품질을 최적화하기 위해 예약 접근법을 고려한 수리적 모형을 제안한다.