• Title/Summary/Keyword: integer programming

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Mixed Integer Linear Programming Model to Determine the Optimal Levels of Technical Attributes in QFD under Multi-Segment Market (다수의 마켓 세그먼트 하에서 품질기능전개 시(時) 기술특성들의 최적 값을 결정하기 위한 혼합정수계획모형)

  • Yang, Jae Young;Yoo, Jaewook
    • Korean Management Science Review
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    • v.33 no.2
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    • pp.75-87
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    • 2016
  • Quality function deployment (QFD) is a widely adopted customer-oriented product development methodology by analyzing customer requirements. It is a main activity in QFD planning process to determine the optimal values of the technical attributes (TAs) so as to achieve the customer requirements (CRs) from the House of Quality (HoQ). In most of the previous research, all the TAs in QFD are assumed to have either continuous or discrete values. In the real world applications, the continuous TAs and the discrete TAs are often mixed in QFD. In this paper, a mixed integer linear programming model is formulated to obtain the optimal values for the continuous TAs and the discrete TAs in QFD planning as well as Branch and Bound (B and B) algorithm is proposed as the solution approach. Finally, the proposed model and solution approach are illustrated with an office chair under multi-segment market, and the sensitivity analysis is performed to study how the proposed model and its solutions respond to the variation for the two elements which are budget and CRs' weights.

Minimization of Trim Loss Problem in Paper Mill Scheduling Using MINLP (MINLP를 이용한 제지 공정의 파지 손실 최소화)

  • Na, Sung-hoon;Ko, Dae-Ho;Moon, Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.392-392
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    • 2000
  • This study performs optimization of paper mill scheduling using MINLP(Mixed-Integer Non-Linear Programming) method and 2-step decomposing strategy. Paper mill process is normally composed of five units: paper machine, coater, rewinder, sheet cutter and roll wrapper/ream wrapper. Various kinds of papers are produced through these units. The bottleneck of this process is how to cut product papers efficiently from raw paper reel and this is called trim loss problem or cutting stock problem. As the trim must be burned or recycled through energy consumption, minimizing quantity of the trim is important. To minimize it, the trim loss problem is mathematically formulated in MINLP form of minimizing cutting patterns and trim as well as satisfying customer's elder. The MINLP form of the problem includes bilinearity causing non-linearity and non-convexity. Bilinearity is eliminated by parameterization of one variable and the MINLP form is decomposed to MILP(Mixed-Integer Linear programming) form. And the MILP problem is optimized by means of the optimization package. Thus trim loss problem is efficiently minimized by this 2-step optimization method.

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Analyzing the Effectiveness of Closed Season Policy Using an Integer Linear Programming (정수선형계획법을 이용한 금어기 제도의 효과 분석)

  • Cheon, Seong-Hoon;Suh, Young-Sang;Kim, Do-Hoon
    • The Journal of Fisheries Business Administration
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    • v.46 no.3
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    • pp.73-82
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    • 2015
  • This study aimed to evaluate the effectiveness of closed season policy using an integer linear programming, targeting the large purse seine fishery in Korea. In the analysis, based on Cheng and Townsend(1993), fishing effort (fishing days by month) was assumed to be distributed for profit maximization of vessels and catch of immature fish was estimated. The analytical results showed that the effects of closed season policy would vary in accordance with the monthly closures in terms of fishing profits and catch of immature fish. A closed season policy by month had different effects on fishing profits and catch of immature fish by species. It implies the importance of considering seasonal changes of fish species when limiting fishing efforts with the closed season policy.

A Study on Transmission System Expansion Planning on the Side of Highest Satisfaction Level of Decision Maker

  • Tran TrungTinh;Kang Sung-Rok;Choi Jae-Seok;Billinton Roy;El-keib A. A.
    • KIEE International Transactions on Power Engineering
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    • v.5A no.1
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    • pp.46-55
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    • 2005
  • This paper proposes a new method for choice of the best transmission system expansion plan on the side of highest satisfaction level of decision maker using fuzzy integer programming. The proposed method considers the permissibility and ambiguity of the investment budget (economics) for constructing the new transmission lines and the delivery marginal rate (reliability criteria) of the system by modeling the transmission expansion problem as a fuzzy integer programming one. It solves the optimal strategy (reasonable as well as flexible) using a fuzzy set theory-based on branch and bound method that utilizes a network flow approach and the maximum flow-minimum cut set theorem. Under no or only a very small database for the evaluation of reliability indices, the proposed technique provides the decision maker with a valuable and practical tool to solve the transmission expansion problem considering problem uncertainties. Test results on the 63-bus test system show that the proposed method is practical and efficiently applicable to transmission expansion planning.

The Study On A Marina's Construction Location Analysis Using Integer Optimization Programming (정수최적계획법을 이용한 마리나 건설 대상지 분석에 관한 연구)

  • Pak, Seong-Hyeon;Joo, Ki-See
    • Journal of Navigation and Port Research
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    • v.34 no.1
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    • pp.59-64
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    • 2010
  • This study is to determine an optimal marina's construction location candidate among many alternative candidates in order to obtain the maximized efficiency under the natural conditions. To deal with marina's construction location, the optimal construction location is selected using 10 important factor analysis for 10 candidates in Yeosu city. In this paper, the new model to assign the most reasonable alternative is introduced using 0-1 integer programming. This proposed model has not been applied in the optimal marina's facility candidate selection problem yet. This paper will contribute to determine the most reasonable alternative. Also, this proposal model can be applied to other marina's facility candidate selection problem in other regions.

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

  • Kwon, Wook Hyun;Park, Yong-Gi;Roh, Jae Hyung;Park, Jong-Bae;Lee, Duehee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.68 no.4
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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.

A Mixed Integer Nonlinear Programming Approach towards Optimal Earthmoving Equipment Selection (혼합 정수 비선형 계획법 기반 토공사 최적 장비 선정 방법 제시)

  • Ko, Yong-Ho;Ngov, Kheang;Lee, Su-Min;Shin, Do-Hyoung;Han, Seung-Woo
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2023.05a
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    • pp.223-224
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    • 2023
  • Optimal fleet management in the planning stage is one of the most critical activities that guarantee successful construction projects. In South Korea, the construction standard production rate database (CSPRD) is normally employed. However, when it comes to a trade-off problem that involves decision-making on optimal sets of equipment to perform a certain task, the method will require the planners' in-depth knowledge and experience regarding the target process and a time consuming estimation of the performance of every possible scenario must be conducted for the deduction of the optimal fleet management. On this account, this research paper proposes a lightweight method of using mixed integer nonlinear programming (MINLP) in multi-objective problems based on CSPRD-based mathematical equations to assist planners in the preplanning stage of choosing the optimal sets of types and size machinery to efficiently arrange the construction scheduling and budgeting.

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

  • Young-Kyou HA;Su-Han Woo
    • Korea Trade Review
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    • v.46 no.2
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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.

A Study on Operations in Single - Card KANBAN System with a General-Type-Structure Production Process (일반 형태의 생산구조 단일카드 KANBAN 시스템의 운영 최적화)

  • Kang, Suk-Ho;Ree, Sang-Bok
    • Journal of Korean Institute of Industrial Engineers
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    • v.16 no.2
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    • pp.109-117
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    • 1990
  • In this paper we study a mathematical programming model for the single-card KANBAN system in a multi-stage capacitated general-type-structure production. Until now this production type setting has not been studied. The modeling of this problem results in a complex integer programming which can be modified to the more simple integer programming model. We present a heuristic method and some numerical examples. Though the presented method doesn't always find an optimal solution, this method guarantees to find a feasible solution. We expect this work to be practised in the real fields.

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A Production Schedule for Load Leveling in a Block Assembly Shop (블록조립공장의 부하평준화를 위한 생산일정계획)

  • Lee, Jae-Dong;Hong, Yu-Shin
    • IE interfaces
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    • v.7 no.2
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    • pp.75-85
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    • 1994
  • This paper presents a production scheduling model in a block assembly shop in shipbuilding industry. In a block assembly shop, the most important performance criterion is load leveling, which balances manpower and work area utilization through the planning horizon. The problem is formulated as a mixed-integer nonlinear programming(MINLP) problem of which objective function is to optimize load leveling. The developed MINLP problem can not be solvable due to computational complexity. The MINLP problem is decomposed into two stage mixed-integer linear programming (MILP) problems to obtain a good solution, but the decomposed MILP problems are still computationally intractable because of combinatorial complexity. Therfore, a heuristic method using linear programming is proposed to solve two stage MILP problems sequentially. The proposed heuristic generates a good production schedule within a reasonable computation time, and it is easily applicable for establishing the production schedule in a block assembly shop in shipbuilding industry.

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