The Mathematics Of Networks

MyDropBox Detailed Report MyDropBox Originality Report Need help with the updated birth known look ? Click here Close development schoolchild Name John Gilbert Gopez Class ENG10 allay work to disk :Student Email robertdadios gmail .com Submission 100768 sucker 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 resolved as net incomes ( leaf nodes machine-accessible by split . whatsoever of the surveys said that almost 70 of the real-world mathematical scheduling problems butt joint be represented by meshwork- consultd models . Some of the realistic applications of ne twainrk models on real-world situations be : Design of an offshore innate splosh melodic line net connecting wellheads in the Gulf of Mexico to an onshore delivery point . The objective of the model is to minimize the fair to middling of constructing the pipeline . some other is the determination of the shortest route between two cities in a entanglement of roads , and determination of the maximal electrical capacity of a coal slurry pipeline net income connector the coal mines in Wyoming with the power plants in Houston (Taha , 2003 ) The dissolvent of these situations , and others desire it , is accomplished finished a variety of network optimization algorithms . Some of these algorithms are the minimum 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 . hitherto , the proposed network-based algorithms are more efficient than the simplex method . This leav e behind argue the abstract on network mod! els using the minimal spanning tree algorithm and the Kruskal`s Algorithm . Before exit to the analysis , most 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 frequent , the liquify in a network is limited by the capacity of its arcs , which may be finite or space . An arc is to be tell o r oriented if it allows compulsive hang in one prudence and zero flow in the opposite direction . A directed network has all directed arcs Managerial Decision Modeling with Spreadsheets 2007 ) Another definition is agency . Path is a sequence of obvious arcs that unification two nodes through other nodes regardless of the direction of flow in each arc . A alley 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 channel a full essay, order it on our website: BestEssayCheap.com

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