• Title/Summary/Keyword: near optimal solution

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A Network Partitioning Using the Concept of Conection Index-Algorithm and Implementation (연결지수의 개념을 사용한 회로망분실-알고리즘 및 실시)

  • 박진섭;박송배
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.6
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    • pp.94-104
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    • 1984
  • Based on a new concept of connection index of a weighted graph, a new efficient houris tic algorithm of 0(v.e) for network partitioning is presented, where v and e are the number of nodes and edges, respectively. Experimental results show that our algorithm is very efficient and yields an optimal or near optimal solution for a number of partitioning problems tested. Some applications of the proposed algorithm are suggested and its computer implementation is described in detail.

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A Heuristic Approach to Disassembly Scheduling with Assembly Product Structure (조립구조 형태 제품의 분해 일정계획 문제에 대한 발견적 기법)

  • Lee Dong-Ho;Xirouchakis Paul
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.686-692
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    • 2002
  • Disassembly scheduling is the problem of determining the ordering and disassembly schedules of used products while satisfying the demand of their parts of components over a certain planning horizon. The objective is to minimize the sum of purchase, setup, disassembly operation and inventory holding costs. This paper considers products with assembly structure, i.e. products without parts commonality, and suggests a heuristic in which an initial solution is obtained in the form of the minimal latest disassembly schedule, and then improved considering trade-offs among different cost factors. To show the performance of the heuristic suggested in this paper, computational experiments were done on the modified existing examples and the results show that the heuristic can give optimal of very near optimal solutions within very short computation times.

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A complexity analysis of a "pragmatic" relaxation method for the combinatorial optimization with a side constraint (단일 추가제약을 갖는 조합최적화문제를 위한 실용적 완화해법의 계산시간 분석)

  • 홍성필
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.1
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    • pp.27-36
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    • 2000
  • We perform a computational complexity analysis of a heuristic algotithm proposed in the literature for the combinatorial optimization problems extended with a single side-constraint. This algorithm, although such a view was not given in the original work, is a disguised version of an optimal Lagrangian dual solution technique. It also has been observed to be a very efficient heuristic producing near-optimal solutions for the primal problems in some experiments. Especially, the number of iterations grows sublinearly in terms of the network node size so that the heuristic seems to be particularly suitable for the applicatons such as routing with semi-real time requirements. The goal of this paper is to establish a polynomal worst-case complexity of the algorithm. In particular, the obtained complexity bound suports the sublinear growth of the required iterations.

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Selection of Suppliers with Minimum Costs in a Distributed Manufacturing Environment (분산제조환경 하에서 최소 비용을 갖는 공급자 선정)

  • 고창성;김태운
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.2
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    • pp.1-10
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    • 2000
  • With every passing month a number of new virtual enterprises emerge on the internet. Many companies have responded to the idea of distributed manufacturing in which the value adding activities comprising a finished product are dispersed geographically in a remote place. This study suggests an idea for selecting suppliers in a distributed manufacturing environment which enables machining companies to share their capacities. A mathematical model is constructed to show how to minimize the sum of the operation and transportation costs based on alternative process plans considering several kinds of operation characteristics in the real world. Four heuristic algorithms are developed to get an optimal or near-optimal solution using tabu search since the model is proven NP-hard. Example problems are tested to illustrate their procedure and performance.

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A Study on Loading in Flexible Manufacturing System (유연생산시스템에서 작업할당에 관한 연구)

  • 임재우;노인규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.50
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    • pp.127-137
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    • 1999
  • This study is concerned with the loading problems in flexible manufacturing system(FMS). The loading problem in FMS is a complex one, when the number of machine and job is increased. It may be time-consuming and even impossible to achieve an optimal solution about this problem mathematically. Thus, a heuristic method is recommended in order to gain near-optimal solutions in a practically acceptable time. A new loading algorithm is developed with a multi-criterion objective of considering the workload unbalance, and maximizing the machine utilization, throughput for critical resources such as the number of tool slots and the number of working hours in a scheduling period and so on. The results of SAS analysis indicated that true average throughput of proposed heuristic loading statistically exceeds that of Shanker and Srinivasulus loading algorithm at the significance level of 0.1.

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An Improvement of AdaBoost using Boundary Classifier

  • Lee, Wonju;Cheon, Minkyu;Hyun, Chang-Ho;Park, Mignon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.2
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    • pp.166-171
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    • 2013
  • The method proposed in this paper can improve the performance of the Boosting algorithm in machine learning. The proposed Boundary AdaBoost algorithm can make up for the weak points of Normal binary classifier using threshold boundary concepts. The new proposed boundary can be located near the threshold of the binary classifier. The proposed algorithm improves classification in areas where Normal binary classifier is weak. Thus, the optimal boundary final classifier can decrease error rates classified with more reasonable features. Finally, this paper derives the new algorithm's optimal solution, and it demonstrates how classifier accuracy can be improved using the proposed Boundary AdaBoost in a simulation experiment of pedestrian detection using 10-fold cross validation.

Multidisk data allocation method based on genetic algorithm (유전자 알고리즘을 이용한 다중 디스크 데이터 배치 방식)

  • 안대영;박규호;임기욱
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.3
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    • pp.46-58
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    • 1998
  • Multi-disk data allocation problem examined in this paper is to find a method to distribute a Binary Cartesian Product File on multiple disks to maximize parallel disk I/O accesses for partial match retrieval. This problem is known to be NP-hard, and heuristkc approaches have been applied to obtain sub-optimal solutions. Recently, efficient methods have been proposed with a restriction that the number of disks in which files are stored should be power of 2. In this paper, we propose a new disk Allocation method based on Genetic Algorithm(GA) to remove the restriction on the number of disks to be applied. Using the schema theory, we prove that our method can find a near-optimal solutionwith high probability. We compare the quality of solution derived by our method with General Disk Modulo, Binary Disk Modulo, and Error Correcting Code methods through the simulation. The simulation results show that proposed GA is superior to GDM method in all cases and provides comparable performance to the BDM method which has a restriction on the number of disks.

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Design of Cellular Manufacturing System with Alternative Process Plans under Uncertain Demand (수요가 불확실한 환경에서 대체공정계획을 고려한 셀형제조시스템 설계)

  • Ko, Chang-Seong;Lee, Sang-Hun;Lee, Yang-Woo
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.4
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    • pp.559-569
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    • 1998
  • Cellular manufacturing system (CMS) has been recognized as an alternative to improve manufacturing productivity in conventional batch-type manufacturing systems through reducing set-up times, work-in-process inventories and throughput times by means of group technology. Most of the studies on the design of CMS assumed that each part has a unique process plan, and that its demand is known as a deterministic value despite of the probabilistic nature of the real world problems. This study suggests an approach for designing CMS, considering both alternative process plans and uncertain demand. A mathematical model is presented to show how to minimize the expected amortized and operating costs satisfying these two relaxations. Four heuristic algorithms are developed based on tabu search which is well suited for getting an optimal or near-optimal solution. Example problems are carried out to illustrate the heuristic algorithms and each of them is compared with the deterministic counterpart.

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An efficient genetic algorithm for the design optimization of cold-formed steel portal frame buildings

  • Phan, D.T.;Lim, J.B.P.;Tanyimboh, T.T.;Sha, W.
    • Steel and Composite Structures
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    • v.15 no.5
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    • pp.519-538
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    • 2013
  • The design optimization of a cold-formed steel portal frame building is considered in this paper. The proposed genetic algorithm (GA) optimizer considers both topology (i.e., frame spacing and pitch) and cross-sectional sizes of the main structural members as the decision variables. Previous GAs in the literature were characterized by poor convergence, including slow progress, that usually results in excessive computation times and/or frequent failure to achieve an optimal or near-optimal solution. This is the main issue addressed in this paper. In an effort to improve the performance of the conventional GA, a niching strategy is presented that is shown to be an effective means of enhancing the dissimilarity of the solutions in each generation of the GA. Thus, population diversity is maintained and premature convergence is reduced significantly. Through benchmark examples, it is shown that the efficient GA proposed generates optimal solutions more consistently. A parametric study was carried out, and the results included. They show significant variation in the optimal topology in terms of pitch and frame spacing for a range of typical column heights. They also show that the optimized design achieved large savings based on the cost of the main structural elements; the inclusion of knee braces at the eaves yield further savings in cost, that are significant.

A Genetic Algorithm Using Hamiltonian Graph for Rural Postman Problem (Rural Postman 문제에서 헤밀토니안 그래프 변환에 의한 유전자 알고리즘 해법)

  • Kang, Myung-Ju;Han, Chi-Geun
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.4
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    • pp.709-717
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    • 1997
  • For an undirected graph G=(V, E), the Rural Postman Problem (RPP) is a problem that finds a minimum cost tour that must pass edges in E'($\subseteq$ E) at least once. RPP, such as Traveling Salesman Problem (TSP), is known as an NP. Complete problem. In the previous study of RPP, he structure of the chromosome is constructed by E' and the direction of the edge. Hence, the larger the size of IE' I is, the larger the size of the chromosome and the size of the solution space are. In this paper, we transform the RPP into a Hamiltonian graph and use a genetic algorithm to solve the transformed problem using restructured chromosomes. In the simulations, we analyze our method and the previous study. From the simulation results, it is found that the results of the proposed method is better than those of the previous method and the proposed method also obtains the near optimal solution in earlier generations than the previous study.

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