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Calculate the critical path Arrow diagram

Calculate the critical path Arrow diagram. C r itical P ath M ethod. Edina Nagy Lajos Kiss Szabolcs Hornyák. 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 ?

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Calculate the critical path Arrow diagram

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  1. Calculate the critical pathArrow diagram CriticalPathMethod Edina NagyLajos KissSzabolcs Hornyák

  2. Time analysis Time analysisgoals: - Howmuchtime is neededtoimplementtheschedule? - Whencan I start and finishtheactivitiesattheearliest? - Whencan I start and finishtheactivitiesatthelatest?

  3. Activities A list of allactivitiesrequiredtocompletethe project. The timethateachactivitywilltaketocompletion. The dependenciesbetweentheactivities.

  4. Basic rules • Starting point and terminus • Arrows, circles • Activitiestime • ES,LS,EF,LF • Dummy

  5. 4 activitiesexample

  6. ES, EF, LF, LS ES - earliest start time EF- earliestfinishtime LF- latestfinishtime LS- latest start time

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

  8. The timecourseanalysis • TFij– totalfloat, TFij= Lj-Ei-tij = LFij-ESij-tij • FFij– free float, FFij= Ej-Ei-tij • IFij– independentfloatIFij= Ej-Li-tij • CFij – conditionalfloatCFij= TFij-FFij

  9. The timecourseanalysis 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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  31. References Dr. Hajdú Miklós YMMF - Constructionorganization and management Dr. Mályusz Levente BME - The CPM network www.netmba.com/operations/project/cpm/

  32. Thanks…

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