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Unformatted text preview: Reading Questions What is a network? Be able to give some examples of networks. Why are networks popular? What are nodes and branches? What is the shortest route problem? What are the steps of the shortest route solution method? Be able to explain each step. What is the minimal spanning tree problem? Be able to compare and contrast minimal spanning tree and shortest route. What are the steps of the minimal spanning tree solution method? Be able to explain each step. What did E.W. Dijkstra do? What is the maximal flow problem? How is the maximal flow problem different from the shortest route problem and the minimal spanning tree problem? What is the difference between directed branches and undirected branches? What are the steps of the maximal flow solution method? Be able to explain each step. Introduction This chapter focuses on several types of network flow problems: Transshipment Problems (discussed in Ch. 6) Shortest Path Problems Maximal Flow Problems Transportation/Assignment Problems (also Ch. 6) Generalized Network Flow Problems We also consider a different type of network problem called the Minimum Spanning Tree Problem Characteristics of Network Flow Problems Network flow problems can be represented as a collection of nodes connected by arcs. There are three types of nodes: Well use negative numbers to represent supplies and positive numbers to represent demand. Networks A network is an arrangement of paths connected at various points, through which one or more items move from one point to another. For example, highway systems, telephone networks, railroad systems, and television networks. Networks are popular because they provide a picture of a system. Enables a manager to visually interpret the system and thus enhances the managers understanding. Networks are also popular because a large number of systems can be easily modeled as networks. Networks Networks are illustrated as diagrams consisting of two main components: nodes and branches. Nodes, denoted by circles, represent junction points connecting branches. Nodes typically represent localities, such as cities, intersections, or air or railroad terminals. Branches, represented as lines, connect nodes and show flow from one point to another. Branches are the paths connecting the nodes such as roads connecting cities and intersections or air routes connecting terminals. BIT 2406 Networks Four nodes, four branches in figure. Atlanta, node 1, termed origin, any of others could be destination. Branches identified by beginning and ending node numbers....
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 Spring '10
 Norttingham

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