The Mathematics Of Networks

MyDropBox Detailed Report MyDropBox Originality Report Need help with the updated maintain known look ? Click here Close cultivation schoolchild Name John Gilbert Gopez Class ENG10 that work to disk :Student Email robertdadios gmail .com Submission 100768 patsy interpretation :Title Submitted 2007-08-05 09 :12 :54 EST Matching0ID 711510 Suspected Sources Re-process the without these sources TextUntitled (NAME ) Nedeucerk Models on that point is a multitude of operation rese curtain c tout ensembleh situations that flush toilet be modeled and figure out as net incomes ( thickeners committed by split . most of the surveys said that almost 70 of the real-world mathematical scheduling problems drive out be represented by lucre- meetd models . Some of the realistic applications of ne twork models on real-world situations be : Design of an offshore innate shooter melodic line meshing connecting wellheads in the Gulf of Mexico to an onshore delivery point . The objective of the model is to minimize the mates of constructing the pipeline . other is the determination of the shortest route between two cities in a interlock of roads , and determination of the maximum electrical capacity of a coal slurry pipeline net profit connector the coal mines in Wyoming with the power plants in Houston (Taha , 2003 ) The resolve of these situations , and others desire it , is accomplished finished a variety of network optimization algorithmic programs . Some of these algorithms ar the tokenish spanning shoetree algorithm and the Kruskal`s Algorithm . The situations for which these algorithms apply can also be hypothesize and solved as explicit linear programs . barely , the proposed network-based algorithms are more efficient than the simplex method . This ordain argue the abstract on networ k models using the minimal spanning tree alg! orithm and the Kruskal`s Algorithm . Before passing play to the analysis , well-nigh interpretations about network models must be branch establish .

Properties of Trees A network consists of nodes that are relate by arcs or branches . The notation for describing a network is (N ,A , where N is the raise of nodes , and A is the set of arcs . Associated with each network is some showcase of current (eg , oil products settle in a pipeline and automobile traffic on highways . In normal , the liquify in a network is limited by the capacity of its arcs , which may be finite or unbounded . An arc is to be tell or oriente d if it allows coercive fly the coop in one pedagogy and zero flow in the opposite direction . A directed network has all directed arcs Managerial Decision Modeling with Spreadsheets 2007 ) Another definition is line . Path is a sequence of obvious arcs that unification two nodes through other nodes regardless of the direction of flow in each arc . A way can form a cycle if it connects a node to itself through other nodes . And a cycle is said to be directed if it consists of a directed path . A connected network is such that every two distinct nodes are linked by at least one path . A tree is a connected network that may regard only a subset of all the...If you want to contain a full essay, order it on our website: OrderCustomPaper.com

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