• Title/Summary/Keyword: Graph Optimization

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A Polynomial-time Algorithm to Find Optimal Path Decompositions of Trees (트리의 최적 경로 분할을 위한 다항시간 알고리즘)

  • An, Hyung-Chan
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.5_6
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    • pp.195-201
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    • 2007
  • A minimum terminal path decomposition of a tree is defined as a partition of the tree into edge-disjoint terminal-to-terminal paths that minimizes the weight of the longest path. In this paper, we present an $O({\mid}V{\mid}^2$time algorithm to find a minimum terminal path decomposition of trees. The algorithm reduces the given optimization problem to the binary search using the corresponding decision problem, the problem to decide whether the cost of a minimum terminal path decomposition is at most l. This decision problem is solved by dynamic programing in a single traversal of the tree.

Collision-free path planning for an articulated robot (다관절 로보트를 위한 충돌 회피 경로 계획)

  • 박상권;최진섭;김동원
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.04a
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    • pp.629-634
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    • 1995
  • The purpose of this paper is to develop a method of Collision-Free Path Planning (CFPP) for an articulated robot. First, the configuration of the robot is formed by a set of robot joint angles derived fromm robot inverse kinematics. The joint space that is made of the joint angle set, forms a Configuration space (Cspace). Obstacles in the robot workcell are also transformed and mapped into the Cspace, which makes Cobstacles in the Cspace. (The Cobstacles represented in the Cspace is actually the configurations of the robot causing collision.) Secondly, a connected graph, a kind of roadmap, is constructed from the free configurations in the 3 dimensional Cspace, where the configurations are randomly sampled form the free Cspace. Thirdly, robot paths are optimally in order to minimize of the sum of joint angle movements. A path searching algorithm based on A is employed in determining the paths. Finally, the whole procedures for the CFPP method are illustrated with a 3 axis articulated robot. The main characteristics of the method are; 1) it deals with CFPP for an articulated robot in a 3-dimensional workcell, 2) it guarantees finding a collision free path, if such a path exists, 3) it provides distance optimization in terms of joint angle movements. The whole procedures are implemented by C on an IBM compatible 486 PC. GL (Graphic Library) on an IRIS CAD workstation is utilized to produce fine graphic outputs.

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An Application of advanced Dijkstra algorithm and Fuzzy rule to search a restoration topology in Distribution Systems (배전계통 사고복구 구성탐색을 위한 개선된 다익스트라 알고리즘과 퍼지규칙의 적용)

  • Kim, Hoon;Jeon, Young-Jae;Kim, Jae-Chul;Choi, Do-Hyuk;Chung, Yong-Chul;Choo, Dong-Wook
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.537-540
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    • 2000
  • The Distribution System consist of many tie-line switches and sectionalizing switches, operated a radial type. When an outage occurs in Distribution System, outage areas are isolated by system switches, has to restored as soon as possible. At this time, system operator have to get a information about network topology for service restoration of outage areas. Therefore, the searching result of restorative topology has to fast computation time and reliable result topology for to restore a electric service to outage areas, equal to optimal switching operation problem. So, the problem can be defined as combinatorial optimization problem. The service restoration problem is so important problem which have outage area minimization, outage loss minimization. Many researcher is applying to the service restoration problem with various techniques. In this paper, advanced Dijkstra algorithm is applied to searching a restoration topology, is so efficient to searching a shortest path in graph type network. Additionally, fuzzy rules and operator are applied to overcome a fuzziness of correlation with input data. The present technique has superior results which are fast computation time and searching results than previous researches, demonstrated by example distribution model system which has 3 feeders, 26 buses. For a application capability to real distribution system, additionally demonstrated by real distribution system of KEPCO(Korea Electric Power Corporation) which has 8 feeders and 140 buses.

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Design of Structure Using Orthogonal Array Considering Interactions in Discrete Design Spaces (직교배열표를 이용한 불연속 공간에서의 교호작용을 고려한 구조물 설계)

  • Hwang, Gwang-Hyeon;Gwon, U-Seong;Lee, Gwon-Hui;Park, Gyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.2952-2962
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    • 2000
  • The design of experiment(DOE) is getting more attention in the engineering community since it is easy to understand and apply. Recently, engineering designers are adopting DOE with orthogonal arrays when they want to design products in a discrete design space. In this research, a design flow with orthogonal arrays is defined for structural design according to the general DOE. The design problem is defined as a general structural optimization problem. Sensitivity information is evaluated by the analysis of variance(ANOVA), and an optimum design is determined from analysis of means(ANOM). Interactions between design variables are investigated to achieve additivity which should be valid in DOE. When strong interactions exit, a method is proposed. Some methods to consider the problem are suggested.

Stationary Waiting Times in m-node Tandem Queues with Communication Blocking

  • Seo, Dong-Won;Lee, Ho-Chang;Ko, Sung-Seok
    • Management Science and Financial Engineering
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    • v.14 no.1
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    • pp.23-34
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    • 2008
  • In this study, we consider stationary waiting times in a Poisson driven single-server m-node queues in series. We assume that service times at nodes are independent, and are either deterministic or non-overlapped. Each node excluding the first node has a finite waiting line and every node is operated under a FIFO service discipline and a communication blocking policy (blocking before service). By applying (max, +)-algebra to a corresponding stochastic event graph, a special case of timed Petri nets, we derive the explicit expressions for stationary waiting times at all areas, which are functions of finite buffer capacities. These expressions allow us to compute the performance measures of interest such as mean, higher moments, or tail probability of waiting time. Moreover, as applications of these results, we introduce optimization problems which determine either the biggest arrival rate or the smallest buffer capacities satisfying probabilistic constraints on waiting times. These results can be also applied to bounds of waiting times in more general systems. Numerical examples are also provided.

Design and Implementation of Simulation System for Adsorption Process Modeling (흡착공정 모델링을 위한 시뮬레이션 시스템 설계 및 구현)

  • Ahn, Byeong-Tae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.7
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    • pp.1709-1714
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    • 2013
  • Biological and chemical processes in the refining process can include several steps of chromatographic separation processes. Recently, with the development of biotechnology is important to a lot of attention has been paid to the process in Adsorption chromatography for the separation of biological molecules such as proteins. Therefore, in this paper, we have designed and implemented a simulation system for adsorption process modeling. This system appear visualization for simulation result or curve graph according to adsorption process modeling. The development of this system has been developed to focus on the batch adsorption process simulation program, is limited.

A Study of Mechanism Synthesis of One-Degree-of-Freedom Planar Linkages with Revolute Joints (회전대우를 갖는 1자유도 평면기구의 기구합성에 관한 연구)

  • 조선휘;신동원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1330-1341
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    • 1993
  • The kinematic synthesis deals with the systematic design of mechanisms for a given performance. The area of synthesis may be grouped into two categories to determine the type and to size the dimensions of a mechanism for a specified task. In this paper, using a database of mechanisms a designer can determine the type of mechanism conveniently and design equations are automatically generated for a given input performance. The solving method of design equations utilizes an optimization routine to obtain roots effectively. The linkages of 4, 6, and 8bars with revolute joints are considered in this study but may be extended to linkages of more bars.

Maximum Node Interconnection by a Given Sum of Euclidean Edge Lengths

  • Kim, Joonmo;Oh, Jaewon;Kim, Minkwon;Kim, Yeonsoo;Lee, Jeongeun;Han, Sohee;Hwang, Byungyeon
    • Journal of information and communication convergence engineering
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    • v.17 no.4
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    • pp.246-254
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    • 2019
  • This paper proposes a solution to the problem of finding a subgraph for a given instance of many terminals on a Euclidean plane. The subgraph is a tree, whose nodes represent the chosen terminals from the problem instance, and whose edges are line segments that connect two corresponding terminals. The tree is required to have the maximum number of nodes while the length is limited and is not sufficient to interconnect all the given terminals. The problem is shown to be NP-hard, and therefore a genetic algorithm is designed as an efficient practical approach. The method is suitable to various probable applications in layout optimization in areas such as communication network construction, industrial construction, and a variety of machine and electronics design problems. The proposed heuristic can be used as a general-purpose practical solver to reduce industrial costs by determining feasible interconnections among many types of components over different types of physical planes.

Space-Stretch Tradeoff Optimization for Routing in Internet-Like Graphs

  • Tang, Mingdong;Zhang, Guoqiang;Liu, Jianxun
    • Journal of Communications and Networks
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    • v.14 no.5
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    • pp.546-553
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    • 2012
  • Compact routing intends to achieve good tradeoff between the routing path length and the memory overhead, and is recently considered as a main alternative to overcome the fundamental scaling problems of the Internet routing system. Plenty of studies have been conducted on compact routing, and quite a few universal compact routing schemes have been designed for arbitrary network topologies. However, it is generally believed that specialized compact routing schemes for peculiar network topologies can have better performance than universal ones. Studies on complex networks have uncovered that most real-world networks exhibit power-law degree distributions, i.e., a few nodes have very high degrees while many other nodes have low degrees. High-degree nodes play the crucial role of hubs in communication and inter-networking. Based on this fact, we propose two highest-degree landmark based compact routing schemes, namely HDLR and $HDLR^+$. Theoretical analysis on random power-law graphs shows that the two schemes can achieve better space-stretch trade-offs than previous compact routing schemes. Simulations conducted on random power-law graphs and real-world AS-level Internet graph validate the effectiveness of our schemes.

A Hierarchical Hybrid Meta-Heuristic Approach to Coping with Large Practical Multi-Depot VRP

  • Shimizu, Yoshiaki;Sakaguchi, Tatsuhiko
    • Industrial Engineering and Management Systems
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    • v.13 no.2
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    • pp.163-171
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    • 2014
  • Under amazing increase in markets and certain demand on qualified service in the delivery system, global logistic optimization is becoming a keen interest to provide an essential infrastructure coping with modern competitive prospects. As a key technology for such deployment, we have been engaged in the practical studies on vehicle routing problem (VRP) in terms of Weber model, and developed a hybrid approach of meta-heuristic methods and the graph algorithm of minimum cost flow problem. This paper extends such idea to multi-depot VRP so that we can give a more general framework available for various real world applications including those in green or low carbon logistics. We show the developed procedure can handle various types of problem, i.e., delivery, direct pickup, and drop by pickup problems in a common framework. Numerical experiments have been carried out to validate the effectiveness of the proposed method. Moreover, to enhance usability of the method, Google Maps API is applied to retrieve real distance data and visualize the numerical result on the map.