• 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.

• 한국경영과학회지
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• 제3권2호
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• pp.95-108
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• 1978

This paper discusses an application of mathematical programming techniques in the paper industry in determining optimal parent roll widths. Parent rolls are made from the reels produced at wide paper machines by slitting them to more manageable widths. The problem is finding a set of the slitting patterns that will minimize the trim loss involved in the sheeting operation. Two programming models, one linear and one mixed integer linear, are presented in this paper. Also presented are the computational experience, the model sensitivity, and the comparison of the optimal solutions with the simulated operational data.

• 한국항해항만학회지
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• 제28권1호
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• pp.83-90
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• 2004

경비, 훈련, 지원 등의 해상 임무를 종료한 해군 함정은 차기 임무를 준비하기 위해 모항에 입항하여 긴급수리, 유류수급, 무장 적하역, 크레인, 태세유지, 수리, 포 배열, 탄약적재, 부식 작업 등의 일련의 서비스를 필요로 한다. 본 연구에서는 한정된 선석과 설비 자원 하에서 여러 함정에 대한 효율적인 선석 할당 계획의 수립을 목적으로 한다. 이를 위해 불필요한 선석이동을 줄이고 계획기간 동안 각 함정이 필요로 차는 서비스를 점수화한 총점을 최대화하는 기존의 모형을 토대로, 서비스 지속 기간이 제한적이고 서비스들 간의 전후 우선순위가 존재하는 현실적인 제약을 고려하면서 전비태세를 향상시킬 수 있는 혼합 정수 계획 모형(Mixed Integer Programming)을 수립해 보았다. 효과적인 분석을 위하여 ILOG OPL(Optimization Programming Language) Studio 3.1을 사용하여 모델링 한 후 ILOG CPLEX 7.0으로 최적해를 구해 보았다. 본 연구에서 제시한 모형이 해군 함정의 효율전인 선석 할당 계획 수립에 적용될 수 있다면 해군 부대의 전비태세 향상에 기여를 할 수 있을 것으로 생각된다.

• 한국수자원학회논문집
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• 제35권1호
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• pp.51-64
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• 2002

위험도 평가기준을 발전함수를 고려하여 단일저수지에 적용한 박명기 등(2001)의 혼합정수계획법 모형을 다중저수지군 운영에 적합하도록 개선하였다. 본 모형중의 축차선형계획기법(SLP)은 목적함수중 수력발전함수의 선형화를 위하여 적용되었으며, 저수지 방류량의 합리적인 월별 방류배분을 위하여 수력발전량에 대한 가중치를 발전시간 수준별로 적용하도록 정식화요소에 반영하였다. 개선된 모형은 한강수계 5개 저수지군에 시험적용 하였으며, 수계내 연계운영을 위한 복합저수지군의 최적연계에 본 위험도 평가기준을 적용할수 있음을 확인할 수 있었다.

• 경영과학
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• 제28권2호
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• pp.17-29
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• 2011

The purpose of this paper is to schedule elective surgery patients using a stochastic programming approach and to illustrate how operating room utilization behaves when a decision-maker varies costs associated with utilization. Because of the uncertainty in surgery durations, the underage and overage costs that a decision-maker considers plays an important role in allocating surgery cases into available operating room capacity. We formulate the problem as a stochastic mixed integer programming and propose a sampling-based approximation method for a computational purpose. Newsvendor model is employed to explain the results from numerical experiments that are conducted with the actual data from a hospital. The results show that the operating room utilization is more sensitive when the unit overtime cost is relatively larger than the unit cost for underutilized time.

• 대한산업공학회지
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• 제11권2호
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• pp.29-37
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• 1985

This paper studies a production-inventory model which unifies the inventory problem of raw materials and the finished product for a single product manufacturing system. The integrated production-inventory model is formulated wth a nonlinear mixed integer programming problem. An algorithm is developed by utilizing the finite explicit enumeration method. The algorithm guarantees to generate an optimal policy for minimizing the total annual variable cost. A mumerical example involving 15 raw materials is given to illustrate the recommended solution procedure.

• 산업경영시스템학회지
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• 제12권19호
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• pp.79-88
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• 1989

This characteristics of process industries are high capital intensity, relatively long and sequence dependent setup times, and extremely limited capacity resources. The lot sizing, sequencing and limited capacity resources factors must he considered for production scheduling in these industries. This paper presents a mixed integer programming model for production scheduling. The economic trade offs between capacitated lot sizing flow shop scheduling and sequence dependent setup times also be compared with SMITH-DANIELS's model. As a results, it is shown that this paper has lower total cost, more efficient throughput than SMITH-DANIELS's model.

• 대한산업공학회지
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• 제32권1호
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• pp.42-50
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• 2006

The multi-criteria group decision making (MCGDM) problem is to determine the best compromise solution in a set of competing alternatives that are evaluated under conflicting criteria by decision maker (DM)s. In this paper, we propose a mixed-integer programming (MIP) model to solve MCGDM. The existing method based on minimizing a distance measure such as Median Approach can not guarantee the best compromise solution because the element of median point vector is defined with respect to each criteria separately. However, by considering all criteria simultaneously, we generate median point that is better for locating the best compromise solution. We also utilize the concept of spatial dispersion index (SDI) to produce a threshold value, which is used as a guideline to choose either the Utopian Approach or the Median Approach. And we suggest using CBITP (Convex hull of individual maxima Based Interactive Tchebycheff Procedure) to provide DMs with various Pareto-optimal solutions so that DMs have broad range of selection.

• 한국산학기술학회논문지
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• 제3권1호
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• pp.10-19
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• 2002

본고는 다종, 소규모 회분식 공정 또는 공장을 수학적 프로그래밍 기법으로 최적 설계하는 방법에 대한 것이다. 제안된 일반 회분식 공장문제는 Papageorgaki와 Reklaitis에 의해 혼합정수비선형식(MINLP)으로 수립된 것인데, 최적해답을 보장하며 공장의 확장 등 불확실성을 고려하여 선형화 한 후(MILP) 푸는 방법론이 제시되었다. Bende식 문제분할 방식을 개조하여 몇가지 예제에 대한 풀이를 제시하였다. IBM의 OSL 최적화 패키지를 이용하였고 MILP를 직접 푸는 경우보다 계산시간을 크게 단축할 수 있었다.

• 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.