• Title/Summary/Keyword: Solution algorithm

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반도체 제조공정을 위한 새로운 생산일정 알고리즘 (A New Scheduling Algorithm for Semiconductor Manufacturing Process)

  • 복진광;이승권;문성득;박선원
    • 제어로봇시스템학회논문지
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    • 제4권6호
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    • pp.811-821
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    • 1998
  • A new scheduling algorithm for large scale semiconductor processes is addressed. The difficulties of scheduling for semiconductor fabrication processes are mainly due from repeating production of wafers that experience reentrant flows. Sequence branch algorithm (SBA) is proposed for large real scheduling problems when all processing times are deterministic. The SBA is based on the reachability graph of Petri net of which the several defects such as memory consumption and system deadlock are complemented. Though the SBA shows the solution deviating a little from the optimal solution of mixed integer programming, it is adjustable for large size scheduling problems. Especially, it shows a potential that is capable of handling commercial size problems that are intractable with mathematical programming.

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AN ALGORITHM FOR SOLVING THE PROBLEM OF CONVEX PROGRAMMING WITH SEVERAL OBJECTIVE FUNCTIONS

  • Cocan, Moise;Pop, Bogdana
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.79-88
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    • 1999
  • This work aims to establish an algorithm for solving the problem of convex programming with several objective-functions with linear constraints. Starting from the idea of Rosen's algorithm for solving the problem of convex programming with linear con-straints and taking into account the solution concept from multi-dimensional programming represented by a program which reaches "the best compromise" we are extending this method in the case of multidimensional programming. The concept of direction of min-imization is introduced and a necessary and sufficient condition is given for a s∈Rn direction to be a direction is min-imal. The two numerical examples presented at the end validate the algorithm.

Setup 시간을 고려한 Flow Shop Scheduling (Scheduling of a Flow Shop with Setup Time)

  • 강무진;김병기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.797-802
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    • 2000
  • Flow shop scheduling problem involves processing several jobs on common facilities where a setup time Is incurred whenever there is a switch of jobs. Practical aspect of scheduling focuses on finding a near-optimum solution within a feasible time rather than striving for a global optimum. In this paper, a hybrid meta-heuristic method called tabu-genetic algorithm(TGA) is suggested, which combines the genetic algorithm(GA) with tabu list. The experiment shows that the proposed TGA can reach the optimum solution with higher probability than GA or SA(Simulated Annealing) in less time than TS(Tabu Search). It also shows that consideration of setup time becomes more important as the ratio of setup time to processing time increases.

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A GENETIC ALGORITHM BASED ON OPTIMALITY CONDITIONS FOR NONLINEAR BILEVEL PROGRAMMING PROBLEMS

  • Li, Hecheng;Wang, Yuping
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.597-610
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    • 2010
  • For a class of nonlinear bilevel programming problems in which the follower's problem is linear, the paper develops a genetic algorithm based on the optimality conditions of linear programming. At first, we denote an individual by selecting a base of the follower's linear programming, and use the optimality conditions given in the simplex method to denote the follower's solution functions. Then, the follower's problem and variables are replaced by these optimality conditions and the solution functions, which makes the original bilevel programming become a single-level one only including the leader's variables. At last, the single-level problem is solved by using some classical optimization techniques, and its objective value is regarded as the fitness of the individual. The numerical results illustrate that the proposed algorithm is efficient and stable.

혼합형 유전자 알고리즘을 이용한 웹 기반의 차량 경로 문제 (WWW-based Vehicle Routing Problem using Mixed Genetic Algorithm)

  • 김기섭;양병학
    • 한국국방경영분석학회지
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    • 제24권2호
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    • pp.117-129
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    • 1998
  • This study is concerned with developing a heuristic for a web-based vehicle routing problem using mixed genetic algorithm(VRPMGA) which determines each vehicle route in order to minimize the transportation costs, subject to meeting the demands of all delivery points. VRP is known to be NP-hard, and it needs a lot of computing time to get the optimal solution, so that heuristics are more frequently developed than optimal algorithms. This study aims to develop a mixed genetic algorithm by partitioned strategy which can give a good solution in comparatively brief time. The good features of the VRPMGA are, fristly, the ability of early convergence and, secondly, the capability of producing multiple, alternative, and near-optimal solutions. The VRPMGA is a useful algorithm that can be appliable to VRP and TSP. Finally, the computational test were performed using the benchmark problems and the proposed heuristic is compared with the other existing algorithms (COSA). The result of computational tests shows that proposed heuristic gives good solutions, in much shorter time, which are same as the best known solutions in the pervious research.

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유전자 알고리즘을 이용한 비선형 모형의 D-최적 실험계획법에 관한 연구 (A Study of D-Optimal Design in Nonlinear Model Using the Genetic Algorithm)

  • 염준근;남기성
    • 품질경영학회지
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    • 제28권2호
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    • pp.135-146
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    • 2000
  • This study has adapted a genetic algorithm for an optimal design for the first time. The models using a simulation are the nonlinear models. Using an genetic algorithm in D-optimal, it is more efficient than previous algorithms to get an object function. Not like other algorithms, without any troublesome restrictions about the initial solution, not falling into a local optimal solution, it's the most suitable algorithm. Also if we use it without any adding experiments, we can use it to find optimal design of experimental condition efficiently.

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A control allocation sterategy based on multi-parametric quadratic programming algorithm

  • Jeong, Tae-Yeong;Ji, Sang-Won;Kim, Young-Bok
    • 수산해양기술연구
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    • 제49권2호
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    • pp.153-160
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    • 2013
  • Control allocation is an important part of a system. It implements the function that map the desired command forces from the controller into the commands of the different actuators. In this paper, the authors present an approach for solving constrained control allocation problem in vessel system by using multi-parametric quadratic programming (mp-QP) algorithm. The goal of mp-QP algorithm applied in this study is to compute a solution to minimize a quadratic performance index subject to linear equality and inequality constraints. The solution can be pre-computed off-line in the explicit form of a piecewise linear (PWL) function of the generalized forces and constrains. The efficiency of mp-QP approach is evaluated through a dynamic positioning simulation for a vessel by using four tugboats with constraints about limited pushing forces and found to work well.

ADM 기반 분산처리 최적조류계산을 이용한 다지역 제약급전계획 알고리즘 (Constrained Multi-Area Dispatch Scheduling Algorithm with Regionally Distributed Optimal Power Flow Using Alternating Direction Method)

  • 정구형;김발호;이종주;김학만
    • 전기학회논문지P
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    • 제59권3호
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    • pp.245-252
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    • 2010
  • This paper proposes a constrained multi-area dispatch scheduling algorithm applicable to interconnected power system operations. The dispatch scheduling formulated as an MIP problem can be efficiently computed by GBD algorithm. GBD guarantees adequate computation speed and solution convergence by reducing the dimension of the dispatch scheduling problem. In addition, the regional decomposition technique based on ADM is introduced to obtain efficient inter-temporal OPF solution. It can find the most economic dispatch schedule incorporating power transactions without each regional utility's private information open.

Heuristic-Based Algorithm for Production Planning Considering Allocation Rate Conformance to Prevent Unstable Production Chain

  • Kim, Taehun;Ji, Bongjun;Cho, Hyunbo
    • Industrial Engineering and Management Systems
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    • 제14권4호
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    • pp.413-419
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    • 2015
  • This study solved the problem of unstable production chains by considering allocation rate conformance. We proposed two phased algorithm suitable for solving production planning that considers allocation rate conformance; the first phase was heuristic initial solution generation, and the second phase was tabu-search based solution improvement. By using three data sets which have different sizes of data and three different criteria, the results of proposed algorithm were compared with MIP results. The proposed algorithm showed the best production plan in terms of allocation rate conformance, and it was appropriate for other criteria; it solved the problem of unstable production chains by solving concentrated and unfair allocation.

국외구매 무기체계에 대한 동시조달수리부속 선정 유전자 알고리즘 연구 (A Study on Genetic Algorithm of Concurrent Spare Part Selection for Imported Weapon Systems)

  • 조현기;김우제
    • 대한산업공학회지
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    • 제36권3호
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    • pp.164-175
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    • 2010
  • In this study, we developed a genetic algorithm to find a near optimal solution of concurrent spare parts selection for the operational time period with limited information of weapon systems purchased from overseas. Through the analysis of time profiles related with system operations, we first define the optimization goal which maintains the expected system operating rate under the budget restrictions, and the number of failures and the lead time for each spare part are used to calculate the estimated total down time of the system. The genetic algorithm for CSP selection shows that the objective function minimizes the estimated total down time of systems with satisfying the restrictions. The method provided by this study can be applied to the generalized model of CSP selection for the systems purchased from overseas without provision of their full structure and adequate information.