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write a four pages essay on analyzing networks? this is for Linear Algebra.

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Advance Math

write a four pages essay on analyzing networks?
this is for Linear Algebra.

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Meaning of Network AnalysisNetwork analysis has played an important role in field ofengineering Application of network analysis have been made ininformation theory study of transportation problem and planningand control of research and development projectsIn transportation problem there are member of routes to reach aterminal but we like to choose a route for which the cost or timeis minimum There is a problem to select the shortest route througha network Thus the problem of network analysis is to find a courseof action which minimize some measure of performanceA project consists of no of interrelated activities which mustbe executed in specific order to complete the project Theactivities are interrelated in a logical sequence In such a waythat some activities cannot start until some others arecompiledThese activities require time and consumption of resources likelabour money material and machine etc The main objective beforestarting any project is to schedule the required activities is anefficient manner so as to complete iton or before a specified timelimit at minimum cost of its completionThe techniques of OR which are used for planning schedulingand controlling large and complex projects are termed as networkanalysis or network techniques These techniques are based on therepresentation of the project as a network of activitiesA network is essentially a graphical plan consisting of acertain configuration of arrows and nodes for showing the logicalsequence of various activities to be performed to complete theprojectBasic Concepts of Network Analysisi ActivityAll projects may be viewed as being composed of operations ortasks called activities which require the expenditure of time andresources for their accomplishments An activity is depicted by asingle arrow on the project network The activity arrows arecalled arcs The activity arrow is not scaled the length of theactivity time is only a matter of convenience and clarity and doesnot represent importance of timeThe head of the arrow shows the sequence or flow of activitiesAn activity cannot begin until the completion of the precedingactivities It is important that activities be defined so thatbeginning and end of each activity can be identified clearlyGenerally there are three types of activities are foundin a network which area Predecessor activityAn activity which must be completed before one or more otheractivities start is known as predecessor activityb Successor activityActivity that cannot be started until one or more of the otheractivities are completed but immediately succeed them are calledsuccessor activitiesc Concurrent activityActivities which can be accomplished concurrently are known asconcurrent activitiesd Dummy activityAn activity which does not consume any kind of resource and ortime is known as dummy activityA dummy activity is added in a network only to establishthe given precedence relationship among other activities of projectin following two situationsa When two or more parallel activities in a project have samestarting and finishing pointsb When two or more activities have some but not all of theirimmediate predecessor activities in commonA dummy activity is generally shown by a dotted line innetwork diagramsii EventAn event in a network diagram is a specific instant of timewhich marks the start or the end of an activity Event consumesneither time nor resources It is represented by a circle and theevent number is written within the circle The event circles arecalled nodes Therefore the major difference between activitiesand events is that activities represent the passage of time whereasevents are points in timeAll activity arrows must begin and end with event nodesas    See Answer
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