• Proceedings of the Korean Information Science Society Conference
• /
• 1998.10c
• /
• pp.42-44
• /
• 1998

Sequential Ordering Problem(SOP)은 여러 개의 도시를 방문함에 있어 '어떤 도시를 다른 도시보다 먼저 방문해야 한다'는 선행제약이 있는 비대칭 순회 세일즈맨 문제(Traveling Salesman Problem)로서, 주어진 선행 제약을 만족하면서 모든 도시를 한번씩만 경유하는 가장 짧은 경로를 찾는 NP-Complete에 속하는 문제이다. 유전자 알고리즘은 SOP와 같은 조합 최적화문제에 대해 유용한 메타휴리스틱의 한가지이다. 본 논문에서는 SOP에 유전자 알고리즘을 적용할 때, 선행제약을 만족하는 해를 생성하는데 사용할 수 있는 선행관계유지 유전 연산자를 소개하고 이를 비교한다. 비교하는 유전 연산자는 선행관계유지 교차연산자, 선행관계유지 순서기반 교차연산자, 최대부분순서/임의삽입 연산자, 선행관계유지 간선재결합 연산자이다.

• Journal of Korean Society of Industrial and Systems Engineering
• /
• v.32 no.3
• /
• pp.118-126
• /
• 2009

This research investigates the problem of minimizing setup costs in resequencing jobs having first-in, first-out(FIFO) constraints at conveyorized production or assembly systems. Sequence changing at conveyor junctions in these systems is limited due to FIFO restriction. We first define the general problem of resequencing jobs to workstations satisfying precedence relationships between jobs(Generalized Sequential Ordering Problem, GSOP). Then we limit our scope to FIFO precedence relationships which is the conveyor selection problem at a diverging junction(Diverging Sequential Ordering Problem, DSOP), modeling it as a 0-1 integer program. With the capacity constraint removed, we show that the problem can be modeled as an assignment problem. In addition, we proposed and evaluated the heuristic algorithm for the case where the capacity constraint cannot be removed. Finally, we discuss the case study which motivated this research and numerical results.

• Journal of the Korean Operations Research and Management Science Society
• /
• v.32 no.3
• /
• pp.47-61
• /
• 2007

This paper presents two elimination methods of subtours, which is obtained by applying the Out-of-Kilter algorithm to the sequential ordering problem (SOP) to produce a feasible solution for the SOP. Since the SOP is a kind of asymmetric traveling salesman problem (ATSP) with precedence constraints, we can apply the Out-of-Kilter algorithm to the SOP by relaxing the precedence constraints. Instead of patching subtours, both of two elimination methods construct a feasible solution of the SOP by using arcs constructing the subtours, and they improve solution by running 3-opt and 4-opt at each iteration. We also use a perturbation method. cost relaxation to explore a global solution. Six cases from two elimination methods are presented and their experimental results are compared to each other. The proposed algorithm found 32 best known solutions out of the 34 instances from the TSPLIB in a reasonable time.

• Journal of the Korean Institute of Telematics and Electronics B
• /
• v.31B no.3
• /
• pp.69-79
• /
• 1994

DCT image coding has been well known for its compression efficiency. Its nature makes it also suitable for efficient progressive transmission and reconstruction since low frequency transform coefficients contain most of the energy of image signals. In this paper, we propose a progressive transmission technique of DCT image by non-sequential bit ordering using Lloyd-Max quantizer. And then, we will show that the Lloyd-Max quantizer can be embedded quantization. In simulation results, the proposed method show better subjective picture and MSE of the reconstructed image than the conventional zig-zag scanning transmission of transform coefficients.

• The Transactions of the Korean Institute of Electrical Engineers
• /
• v.43 no.2
• /
• pp.189-196
• /
• 1994

This paper describes a parallel computing algorithm in Gauss elimination of Jacobian matrix to large-scale power system. The structure of Jacobian matrix becomes different according to ordering method of buses. In sequential computation buses are ordered to minimize the number of fill-in in the triangulation of the Jacobian matrix. The proposed method develops the parallelism in the Gauss elimination by using ND(nested dissection) ordering. In this procedure the level structure of the power system network is transformed to be long and narrow by using end buses which results in balance of computing load among processes and maximization of parallel computation. Each processor uses the sequential computation method to preserve the sqarsity of matrix.

• Proceedings of the KIEE Conference
• /
• 1993.07a
• /
• pp.163-166
• /
• 1993

This paper describes an parallell computing algorithm in Gauss elimination of Jacobian matrix to large-scale power system. The structure of Jacobian matrix becomes different according to ordering method of buses. In sequential computation buses are ordered to minimize the number of fill-in in the triangulation of the Jacobian matrix. The proposed method using ND(nested dissection) ordering develops the parallelism in the Gauss elimination to have balance of computing load among processes and each processor uses the sequential computation method to preserve the sparsity of matrix.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.14 no.5
• /
• pp.563-570
• /
• 2004

Genetic algorithms have been successfully applied to various optimization problems belonging to NP-hard problems. The sequential ordering problems(SOP) and the job shop scheduling problems(JSP) are well-known NP-hard problems with strong influence on industrial applications. Both problems share some common properties in that they have some imposed precedence constraints. When genetic algorithms are applied to this kind of problems, it is desirable for genetic operators to be designed to produce chromosomes satisfying the imposed precedence constraints. Several genetic operators applicable to such problems have been proposed. We call such genetic operators precedence-preserving genetic operators. This paper presents three existing precedence-preserving genetic operators: Precedence -Preserving Crossover(PPX), Precedence-preserving Order-based Crossover (POX), and Maximum Partial Order! Arbitrary Insertion (MPO/AI). In addition, it proposes two new operators named Precedence-Preserving Edge Recombination (PPER) and Multiple Selection Precedence-preserving Order-based Crossover (MSPOX) applicable to such problems. It compares the performance of these genetic operators for SOP and JSP in the perspective of their solution quality and execution time.

• Proceedings of the Korea Multimedia Society Conference
• /
• 2004.05a
• /
• pp.255-258
• /
• 2004

본 논문에서는 필기수식의 인식 및 계산을 목적으로 입력 필기수식의 심볼별 분리 및 순차적 정렬 후 인식하는 알고리즘을 제안한다. 제안된 방법은 온라인 필기인식의 특징인 실시간 개념을 이용하여 태블릿 상에서 입력받은 수식의 픽셀별 좌표를 입력받아서 분리 과정을 수행 한 후, 필기순서와 무관한 순차적인 하나의 완성된 수식을 제공한다. 다음으로 통계적 패턴 정합 및 숫자별 특정 가중치를 이용하여 완성된 수식을 인식하고 계산 결과를 출력한다. 본 모듈은 PDA에 임베디드를 목적으로 구현하였으며, 여러 검증과정을 통해 약 98%의 인식률 향상을 얻을 수 있었다.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.15 no.6
• /
• pp.661-667
• /
• 2005

In this paper, we propose a new hybrid genetic algorithm for sequential ordering problem (SOP). In the proposed genetic algorithm, the Voronoi quantized crossover (VQX) is used as a crossover operator and the path-preserving 3-Opt is used as a local search heuristic. VQX is a crossotver operator that uses the epistasis information of given problem instance. Since it is a crossover proposed originally for the traveling salesman problem (TSP), its application to SOP requires considerable modification. In this study, we appropriately modify VQX for SOP, and develop three algorithms, required in the modified VQX, named Feasible solution Generation Algorithm, Precedence Cycle Decomposition Algorithm, and Genic Distance Assignment Method. The results of the tests on SOP instances obtained from TSPLIB and ZIB-MP-Testdata show that the proposed genetic algorithm outperforms other genetic algorithms in stability and solution quality.

• The Korean Journal of Applied Statistics
• /
• v.26 no.4
• /
• pp.581-594
• /
• 2013

A group sequential design can end a clinical trial early if a confirmed efficacy or a futility of study medication is found during clinical trials. Adaptation can adjust the design of clinical trials based on accumulated data. The key to this methodology is considered to control the overall type 1 error rate while maintaining the integrity of clinical trials. The estimation would be more complex and the sample size calculation will be more difficult if the clinical trials have repeated measurement data. Lee et al. (2002) suggested a repeated observation case by using the independent increments properties of the interim test statistics and investigated the properties of the proposed confidence interval based on the stage-wise ordering. This study extend Lee et al. (2002) to adaptive group sequential design. We suggest test statistics for the adaptation as redesigning the second stage of clinical trials and induce the stage-wise confidence interval of parameter of interests. The simulation will help to confirm the suggested method.