基于主干线/分支线模型的配网单线图自动生成方法

配网单线图是一种电气接线图, 其利用规定的图形符号和设备连线对配电网进行可视化, 能显著提高配网管理的效率. 针对配网单线图自动生成实际需要, 本文提供了一种基于主干线/分支线模型的配网单线图自动生成方法. 方法首先进行了主干线分支线的创建和分支布局方向的计算; 然后进行了分支初始布局和局部拉伸; 最后进行了分支局部收缩和自动布线. 经过验证, 基于主干线分支线模型的配网单线图自动生成方法, 能自动生成满足准确性、美观性等要求的单线图.     

Rapid graph layout using space filling curves

Network data frequently arises in a wide variety of fields, and node-link diagrams are a very natural and intuitive represen- tation of such data. In order for a node-link diagram to be effective, the nodes must be arranged well on the screen. While many graph layout algorithms exist for this purpose, they often have limitations such as high computational complexity or node colocation. This paper proposes a new approach to graph layout through the use of space filling curves which is very fast and guarantees that there will be no nodes that are colocated. The resulting layout is also aesthetic and satisfies several criteria for graph layout effectiveness.     

An efficient two-staged approach for generating block layouts

Multidimensional scaling (MDS) is a useful mathematical tool that enables the analysis of data in areas where organized concepts and underlying dimensions are not well developed. In this paper, MDS algorithms are used as a dimension reduction tool which arranges facilities in a two-dimensional space while preserving the adjacency relationship between facilities. The output of MDS is a scatter diagram and is in turn used as the input or location references for developing into the final block layout. The bay structures of layout are considered where the given floor space is first partitioned horizontally or vertically into bays, which are subsequently partitioned into the blocks. Rotating the scatter diagram about the origin results in different layouts in the bay structure. A simulated annealing approach is adopted to rotate the scatter diagram so that the total cost of traveling between facilities and shape violation in the final layout is minimized.Scope and purposeThis paper discusses the application of multidimensional scaling (MDS) and simulated annealing (SA) to efficiently design facility layout. MDS is a powerful mathematical tool widely used in psychometry as well as in marketing research. By using MDS to generate a reference scatter diagram, a layout can subsequently be developed. The SA algorithm is then applied to rotate the scatter diagram from MDS so that a layout with the total cost of traveling between facilities being minimized can be obtained.     

An improved genetic algorithm for facility layout problems having inner structure walls and passages

This study proposes an improved genetic algorithm (GA) to derive solutions for facility layouts that are to have inner walls and passages. The proposed algorithm models the layout of facilities on gene structures. These gene structures consist of a four-segmented chromosome. Improved solutions are produced by employing genetic operations known as selection, crossover, inversion, mutation, and refinement of these genes for successive generations. All relationships between the facilities and passages are represented as an adjacency graph. The shortest path and distance between two facilities is calculated using Dijkstra's algorithm of graph theory. Comparative testing shows that the proposed algorithm performs better than other existing algorithms for the optimal facility layout design. Finally, the proposed algorithm is applied to ship compartment layout problems with the computational results compared with an actual ship compartment layout.Scope and purposeFacility layout problems (FLPs) concerning space layout optimization have been investigated in depth by researchers in many fields, such as industrial engineering, management science, and architecture, and various algorithms have been proposed to solve FLPs. However, these algorithms for the FLP cannot consider inner structure walls and passages within the block plan (or available area). They are also limited to a rectangular boundary shape of the block plan. Therefore, these algorithms could not be directly applied to problems having the curved boundary shape such as ship compartment layout, and an innovative algorithm which can treat such problems is needed. In this study, an improved genetic algorithm (GA) is proposed for solving problems having the inner structure walls and passages within an available area of a curved boundary. A comparative test of the proposed algorithm was performed to evaluate its efficiency. Finally, the proposed algorithm is applied to ship compartment layout problems with the computational results compared with an actual ship compartment layout. From the comparative test and the preliminary applications made to the ship's compartment layout, we demonstrate that the proposed algorithm has the ability to solve the FLPs having the inner structure walls and passages within the available area of the curved boundary.     

An improved genetic algorithm for multi-floor facility layout problems having inner structure walls and passages

This study proposes an improved genetic algorithm to derive solutions for multi-floor facility layouts that are to have inner structure walls and passages. The proposed algorithm models the multi-floor layout of facilities on gene structures. These gene structures consist of a five-segmented chromosome. Improved solutions are produced by employing genetic operations known as selection, crossover, inversion, mutation, and refinement of these genes for successive generations. All relationships between the facilities, passages, and lifts are represented as an adjacency graph. The shortest path and distance between two facilities is calculated using Dijkstra's algorithm of the graph theory. Comparative testing shows that the proposed algorithm performs better than other existing algorithm for the multi-floor facility layout design. Finally, the proposed algorithm is applied to the multi-deck compartment layout problem of the ship with the computational result compared with the multi-deck compartment layout of the actual ship.     

Empirical Evaluation of Aesthetics-based Graph Layout

Many automatic graph layout algorithms have been designed and implemented to display relational data in a graphical (usually node-arc) manner. The success of these algorithms is typically measured by their computational efficiency and the extent to which they conform to aesthetic criteria (for example, minimising the number of crossings, maximising symmetry). Little research has been performed on the usability aspects of such algorithms: do they produce graph drawings that make the embodied information easy to use and understand? Is the computational effort expended on conforming to the assumed aesthetic criteria justifiable with respect to better usability? This paper reports on usability studies that were performed to investigate the merit of automatic graph layout algorithms with respect to human use. The paper describes three ways in which this issue has been considered experimentally: first, investigating individual aesthetic criteria in simple, abstract graph structures; second, investigating the results of common automatic graph layout algorithms; and third, investigating individual aesthetic criteria and other relevant secondary notations in Unified Modeling Language class and collaboration diagrams. The results show that the use of only some aesthetics affect usability significantly, and that the semantic domain of the graph drawings affects which aesthetic criteria need to be emphasised.     

Exploration of networks using overview+detail with constraint-based cooperative layout

A standard approach to large network visualization is to provide an overview of the network and a detailed view of a small component of the graph centred around a focal node. The user explores the network by changing the focal node in the detailed view or by changing the level of detail of a node or cluster. For scalability, fast force-based layout algorithms are used for the overview and the detailed view. However, using the same layout algorithm in both views is problematic since layout for the detailed view has different requirements to that in the overview. Here we present a model in which constrained graph layout algorithms are used for layout in the detailed view. This means the detailed view has high-quality layout including sophisticated edge routing and is customisable by the user who can add placement constraints on the layout. Scalability is still ensured since the slower layout techniques are only applied to the small subgraph shown in the detailed view. The main technical innovations are techniques to ensure that the overview and detailed view remain synchronized, and modifying constrained graph layout algorithms to support smooth, stable layout. The key innovation supporting stability are new dynamic graph layout algorithms that preserve the topology or structure of the network when the user changes the focus node or the level of detail by in situ semantic zooming. We have built a prototype tool and demonstrate its use in two application domains, UML class diagrams and biological networks.      

UML类图层次化自动布图算法

UML类图能够有效地帮助软件工程师理解大规模的软件系统,而优化图元的空间布局可以增强类图的可读性和可理解性.由于类图中继承关系具有明显的层次特性,因此类图自动布局大多采用层次化的布图算法.此外,类图布局需要考虑相关的领域知识以及绘制准则,因而通用嵌套有向图层次化布局算法不能直接用于类图的绘制,它们必须加以扩展.但是,已有的类图层次化方法并没有考虑类图中图元的嵌套关系,这将导致自动布局方法不能处理类图中包与类、接口之间的包含关系.在考虑图绘制美学、UML类图绘制以及软件可视化等相关知识的基础上,选取了一组布     

Perceptual organization in user-generated graph layouts

Many graph layout algorithms optimize visual characteristics to achieve useful representations. Implicitly, their goal is to create visual representations that are more intuitive to human observers. In this paper, we asked users to explicitly manipulate nodes in a network diagram to create layouts that they felt best captured the relationships in the data. This allowed us to measure organizational behavior directly, allowing us to evaluate the perceptual importance of particular visual features, such as edge crossings and edge-lengths uniformity. We also manipulated the interior structure of the node relationships by designing data sets that contained clusters, that is, sets of nodes that are strongly interconnected. By varying the degree to which these clusters were "masked" by extraneous edges we were able to measure observers' sensitivity to the existence of clusters and how they revealed them in the network diagram. Based on these measurements we found that observers are able to recover cluster structure, that the distance between clusters is inversely related to the strength of the clustering, and that users exhibit the tendency to use edges to visually delineate perceptual groups. These results demonstrate the role of perceptual organization in representing graph data and provide concrete recommendations for graph layout algorithms.     

基于力导向算法的线束连接图自动布局研究

线束连接图是线束图纸中去除接插件、由线段组成的表示接插件连接关系的连通无环图,线束连接图决定了线束图纸布局的骨架,是线束图纸布局的主要内容。该文将无向图布局理论中的力导向不算模型和算法引入到汽车线束连接图的布局中,实现了连接图主干的自动搜索和线束分支的约束对称布局,进而完成了汽车线束连接图的自动布局,为汽车线束图纸的自动布局提供了有效方法和技术。     

Performance of Layout Algorithms: Comprehension, not Computation

Many algorithms address the problem of rendering an abstract graph structure as a diagram in as efficient and as elegant a manner as possible. The criteria for judging the worth of these algorithms are typically the extent to which they conform to common aesthetic criteria (e.g. minimising the number of crossings, maximising symmetry), or their computational efficiency. The algorithms are not usually judged on their ability to produce diagrams that maximise humans’ performance on tasks which require their use.This paper presents an example experimental methodology for considering the relative worth of eight layout algorithms with respect to human performance, together with details of an experiment using a single graph. The results indicate that, with the exception of one algorithm, there is no statistical difference between the performance data of the algorithms when applied to this graph, indicating that they produce drawings of comparable difficulty. This result is despite the different aesthetic bases for the algorithms.     

A multi objective genetic algorithm for the facility layout problem based upon slicing structure encoding

This paper proposes a new multi objective genetic algorithm (MOGA) for solving unequal area facility layout problems (UA-FLPs). The genetic algorithm suggested is based upon the slicing structure where the relative locations of the facilities on the floor are represented by a location matrix encoded in two chromosomes. A block layout is constructed by partitioning the floor into a set of rectangular blocks using guillotine cuts satisfying the areas requirements of the departments. The procedure takes into account four objective functions (material handling costs, aspect ratio, closeness and distance requests) by means of a Pareto based evolutionary approach. The main advantage of the proposed formulation, with respect to existing referenced approaches (e.g. bay structure), is that the search space is considerably wide and the practicability of the layout designs is preserved, thus improving the quality of the solutions obtained.     

Logichart — Intelligible Program Diagram for Prolog and its Processing System

An intelligible program diagram called Logichart has been developed for Prolog visualization. Its syntax rules and layout rules are formalized in terms of an attribute graph grammar. This grammar is underlain by a context–free graph grammar whose productions are defined to formalize the graph–syntax rules of Logichart diagrams. Semantic rules attached to the productions are defined in such a way that they can extract the layout information needed to display a Logichart diagram as attributes. Our Prolog visualization system, which has been implemented based on the attribute graph grammar, can draw a Logichart diagram for any correct Prolog program (completeness), and any Logichart diagram displayed by the system is always valid for the grammar (soundness). The system can also display the execution of a Prolog program in real time; that is, the Logichart diagram is dynamically updated as the program runs.     

Dynamic Meta Modeling with time: Specifying the semantics of multimedia sequence diagrams

The Unified Modeling Langugage (UML) offers different diagram types to model the behavior of software systems. In some domains like embedded real-time systems or multimedia systems, it is necessary to include specifications of time in behavioral models since the correctness of these applications depends on the fulfillment of temporal requirements in addition to functional requirements. UML thus already incorporates language features to model time and temporal constraints. Such model elements must have an equivalent in the semantic domain.We have proposed Dynamic Meta Modeling (DMM), an approach based on graph transformation, as a means for specifying operational semantics of dynamic UML diagrams. In this article, we extend this approach to also account for time by extending the semantic domain to timed graph transformation. This enables us to define the operational semantics of UML diagrams with time specifications. As an example, we provide semantics for special sequence diagrams from the domain of multimedia application modeling.     

GO: A cluster algorithm for graph visualization

As we are in the big data age, graph data such as user networks in Facebook and Flickr becomes large. How to reduce the visual complexity of a graph layout is a challenging problem. Clustering graphs is regarded as one of effective ways to address this problem. Most of current graph visualization systems, however, directly use existing clustering algorithms that are not originally developed for the visualization purpose. For graph visualization, a clustering algorithm should meet specific requirements such as the sufficient size of clusters, and automatic determination of the number of clusters. After identifying the requirements of clustering graphs for visualization, in this paper we present a new clustering algorithm that is particularly designed for visualization so as to reduce the visual complexity of a layout, together with a strategy for improving the scalability of our algorithm. Experiments have demonstrated that our proposed algorithm is capable of detecting clusters in a way that is required in graph visualization.     

A graph grammar programming style for recognition of music notation

Graph grammars are a promising tool for solving picture processing problems. However, the application of graph grammars to diagram recognition has been limited to rather simple analysis of local symbol configurations. This paper introduces the Build-Weed-Incorporate programming style for graph grammars and shows its application in determining the meaning of complex diagrams, where the interaction among physically distant symbols is semantically important. Diagram recognition can be divided into two stages: symbol recognition and high-level recognition. Symbol recognition has been studied extensively in the literature. In this work we assume the existence of a symbol recognizer and use a graph grammar to assemble the diagram's information content from the symbols and their spatial relationships. The Build-Weed-Incorporate approach is demonstrated by a detailed discussion of a graph grammar for high-level recognition of music notation. See Appendix A for an illustration of the terms for musical symbols used in this paper.     

Multimedia layout adaptation through grammatical specifications

Online multimedia presentations, such as news, need to be constantly updated. Increasing demands are also being made for accessing online multimedia documents from mobile devices such as PDAs. There is an urgent need for a sound but practical formalism that supports automatic adaptation to the change of media content, display environments, and user intention. This paper presents a visual language approach to the layout adaptation of multimedia objects. The underlying theory of our approach is a context-sensitive graph grammar formalism enriched with facilities for spatial representation and specification. The paper focuses on the issues and techniques for size adaptation and style adaptation in response to the change of device requirements and user interactions.Published online: 2 February 2005 Correspondence to: Kang Zhang     

Approaches to uncertainties in facility layout problems: Perspectives at the beginning of the 21<Superscript>st</Superscript> Century

Production uncertainty is one of the most challenging aspects in manufacturing environments in the 21st century. The next generation of intelligent manufacturing is dynamically depending on the production requirements, and success in designing agile facilities is closely related to what extent these requirements are satisfied. This paper presents the most recent advancements in designing robust and flexible facilities under uncertainty. The focus is on exploring the way uncertainty is incorporated in facility design, namely dynamic and stochastic facility layout problems. Recent approaches are explored and categorized in detail, and previous approaches are briefly reviewed in the related categories. Furthermore, research avenues warranting exploration in the emerging field of facility design are also discussed.     

Supply facility and input/output point locations in the presence of barriers

This paper studies a facility location model in which two-dimensional Euclidean space represents the layout of a shop floor. The demand is generated by fixed rectangular-shaped user sites and served by a single supply facility. It is assumed that (i) communication between the supply point and a demand facility occurs at an input/output (I/O) point on the demand facility itself, (ii) the facilities themselves pose barriers to travel and (iii) distance measurement is as per the L₁-metric. The objective is to determine optimal locations of the supply facility as well as I/O points on the demand facilities, in order to minimize total transportation costs. Several, increasingly more complex, versions of the model are formulated and polynomial time algorithms are developed to find the optimal locations in each case.Scope and purposeIn a facility layout setting, often a new central supply facility such as a parts supply center or tool crib needs to be located to serve the existing demand facilities (e.g., workstations or maintenance areas). The demand facilities are physical entities that occupy space, that cannot be traveled through, and that receive material from the central facility, through a perimeter I/O (input/output or drop-off/pick-up) point. This paper addresses the joint problem of locating the central facility and determining the I/O point on each demand facility to minimize the total material transportation cost. Different versions of this problem are considered. The solution methods draw from and extend results of location theory for a class of restricted location problems. For practitioners, simple results and polynomial time algorithms are developed for solving these facility (re) design problems.     

ImPrEd: An Improved Force‐Directed Algorithm that Prevents Nodes from Crossing Edges

PrEd [ [Ber00] ] is a force‐directed algorithm that improves the existing layout of a graph while preserving its edge crossing properties. The algorithm has a number of applications including: improving the layouts of planar graph drawing algorithms, interacting with a graph layout, and drawing Euler‐like diagrams. The algorithm ensures that nodes do not cross edges during its execution. However, PrEd can be computationally expensive and overly‐restrictive in terms of node movement. In this paper, we introduce ImPrEd: an improved version of PrEd that overcomes some of its limitations and widens its range of applicability. ImPrEd also adds features such as flexible or crossable edges, allowing for greater control over the output. Flexible edges, in particular, can improve the distribution of graph elements and the angular resolution of the input graph. They can also be used to generate Euler diagrams with smooth boundaries. As flexible edges increase data set size, we experience an execution/drawing quality trade off. However, when flexible edges are not used, ImPrEdproves to be consistently faster than PrEd.