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proven to be an NP-complete problem [18] Many good heuristic static partitioning methods have been proposed Kernighan and Lin [28] proposed a locally optimized partitioning method Farhat and Lesoinne [14, 15] proposed an automatic domain decomposer based on the Greedy algorithm Berger and Bokhari [3] proposed recursive coordinate bisection (RCB) that utilizes spatial nodal coordinate information Nour-Omid et al [33] and Taylor and Nour-Omid [38] proposed recursive inertial bisection (RIB) Simon [35] proposed recursive spectral bisection (RSB) taht computes the Fiedler vector for the graph using the Lanczos algorithm and then sorts vertices according to the size of the entries in Fiedler vector Recursive graph bisection (RGB) is proposed by George and Liu [19], uses SPARSPAK RCM algorithm to compute a level structure and then sort vertices according to the RCM-level structure Barnard and Simon [2] proposed a multilevel version of RSB which is faster.

A listbox (Tkinter.Listbox) displays a list of options. Each option is a string, and each takes up one row in the listbox. Each item is assigned an index (starting from 0). The option selectmode governs what kind of selections the user can make. SINGLE allows one row to be selected at a time; MULTIPLE permits the user to select many rows at once. BROWSE (the default) is similar to SINGLE, but allows the user to drag the mouse cursor across rows. EXTENDED is similar to MULTIPLE, but allows fancier selections to be made by Control- and Shift-clicking. The option height, which defaults to 10, specifies how many rows a listbox displays at once. If a listbox contains more rows than it can display at once, you should attach a scrollbar see the section Scrollbar for details.

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Hendrickson and Leland [23, 24] also reported a similar multilevel partitioning method Karypis and Kumar [27] proposed a new coarsening heuristic to improve the multilevel method Legion [32] provided a two-dimensional FileObejct interface that could be used to block partition a data le into multiple sub les that could be distributed over different disks on different machines Most of the aforementioned decomposition methods are available in one of the three automated tools: Chaco [23], METIS [26], and TOP/DOMDEC [36] Chaco, the most versatile, implements inertial, spectral, Kernighan Lin, and multilevel algorithms These algorithms are used to recursively bisect the problem into equal-sized subproblems METIS uses the method for fast partitioning of the sparse matrices, using a coarsening heuristic to provide the speed TOP/DOMDEC is an interactive mesh partitioning tool All these tools produce equal-sized partitions These tools are applicable to systems with the same processors and one interconnection network.

(3.54)

Object statistics are collected from individual objects. They allow the network engineering analyst to evaluate the performance of speci c network nodes or links (a single hub s Ethernet delay or a server balancing change, as in our example). Scenariowide object statistics are collected from all relevant objects in a network (e.g., Ethernet delay for every node). They allow the network engineering analyst to easily monitor the performance of all objects of a speci c type.

(5.21)

Some tools, such as METIS, can produce partitions with unequal weights However, none of these tools can take network performance into consideration in the partitioning process For this reason, these tools are not applicable to distributed systems Crandall and Quinn [8 13] developed a partitioning advisory system for network of workstations The advisory system has three built-in partitioning methods (contiguous row, contiguous point, and block) Given information about the problem space, the machine speed, and the network, the advisory system provides ranking of the three partitioning methods The advisory system takes into consideration of heterogeneity in processor performance among the workstations The problem, however, is that linear computational complexity is assumed for the application This is not the case with implicit nite element problems, which are widely used Furthermore heterogeneity, in network performance is not considered..

Figure 8-9: The New View dialog box. View names can be up to 255 characters and can include spaces. As I explained in the previous discussion of the View dialog box, you can save a User Coordinate System, a category, and layer visibility settings with a view. Select the Current Display option button to use the current display as the view. Otherwise, choose Define Window, click the Define View Window button, and specify a window around the view that you want. Choose OK to return to the View dialog box, where you see your new view listed. Click OK to return to your drawing.

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