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18 Cards in this Set

  • Front
  • Back

Gantt Charts

planning charts used to schedule resources and allocate time




activities planned, order of performance, activity time estimates are recorded, overall project time is developed

PERT and CPM

tools to help manage large and complex projects



PERT: Program evaluation and review technique


- provides three time estimates for each activity




CPM: Critical path method


-Assumes activity times are known

Critical Path

represent tasks that will delay the entire project if they are not completed on time




-the computed longest time path through a network



AON

Activity on node



AOA

Activity on arrow



Critical Path Analysis

N: ID number
T: activity duration
ES: Earliest start
LS: Latest Start
ES: Earliest finish
LF: Latest finish
(put in notes)

N: ID number


T: activity duration


ES: Earliest start


LS: Latest Start


ES: Earliest finish


LF: Latest finish


(put in notes)

Forward pass

determines early start and early finish




begin with first activity




(put in notes)





Backward pass

determines late start and late finish




begin with last activity


(put in notes)

Forward Pass and Calculations

ES= preceding EF


if two preceding nodes ES=max EF


EF=ES+Duration

Backward Pass Calculation

LS= LF-Duration


LF=LS of preceding node


if two preceding nodes LF=min LS

Slack Time

length of time an activity can be delayed without delaying project




Slack= LS-ES


Slack= LF-EF




You can use either one


Key is to find which activities have 0 slack

Critical activity

activity with zero slack




on the critical path

PERT Calculations

optimistic time (a)


pessimistic time (b)


most likely time (m)




expected activity time: t=(a+4m+b)/6


variance = [(b-a)/6]^2


(in notes)

Project variance

sum of variances of all critical activities

Project standard deviation

square root of project variance

Project crashing

Shorten the duration of a project in the cheapest manner possible




1. compute crash cost per week for each activity


2. find critical path and critical activities


3. select activity with smallest crash cost per period


3. if more than one path, select cheapest 2


4. update activity times

Crash cost per period calc

(Crash cost - Normal Cost) /


(Normal time - crash time)

probability of project completion

z= specified time - path duration /


path standard deviation