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Calculate the critical path Arrow diagram Critical Path Method Edina Nagy Lajos Kiss Szabolcs Hornyák

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Time analysis Time analysis goals: - How much time is needed to implement the schedule? - When can I start and finish the activities at the earliest? - When can I start and finish the activities at the latest?

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ActivitiesActivities A list of all activities required to complete the project. The time that each activity will take to completion. The dependencies between the activities.

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Basic rules Starting point and terminus Arrows, circles Activities time ES,LS,EF,LF Dummy

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4 activities example

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ES, EF, LF, LS ES - earliest start time EF- earliest finish time LF- latest finish time LS- latest start time

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ES, EF, LF, LS Formulas Ei = ESij Ej = EFij = ESij+tij Li = LSij = LFij-tij Lj = LFij

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The time course analysis TFij TFij– total float, TFij = Lj-Ei-tij = LFij-ESij-tij FFij FFij– free float, FFij = Ej-Ei-tij IFij IFij– independent float IFij = Ej-Li-tij CFij CFij– conditional float CFij = TFij-FFij

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The time course analysis The Forward pass (first phase) gives the turnaround time and the earliest possible occurence of events. The Backward pass (second phase) gives the latest possible occurrence of events.

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ReferencesReferences Dr. Hajdú Miklós YMMF -Construction organization and management Dr. Mályusz Levente BME - The CPM network

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