Operations Research Exam 2 Graded A+
Total Float - ANSWER-TF(i,j)= LT(j)-ET(i)-Tij
Critical Path - ANSWER-activities with 0 total float
Critical Path - ANSWER-the sequence of activities in a project that is expected to
take the longest to complete
Free Float - ANSWER-The amount of time that a schedule activity can be delayed
without delaying the early start date of any successor or violating a schedule
constraint.
Free Float - ANSWER-FF(ij)= ET(j)-ET(i)-Tij
PERT - ANSWER-Program Evaluation and Review Technique.
a - ANSWER-duration under ideal conditions
b - ANSWER-duration under worst case conditions
m - ANSWER-most likely duration
Expected value PERT - ANSWER-E(Tij)= (a+4m+b)/6
Variance PERT - ANSWER-V(Tij)= (b-a)^2/36
Expected time to complete a path - ANSWER-sum of all expected times for the
activities in the path.
Variance time to complete a path - ANSWER-sum of all variances for each activity
in path
Standard deviation - ANSWER-square root of variance
P(CP<=x) - ANSWER-P(CP<=x)=P(z<= (x-E(CP))/S.D)
Problems with PERT - ANSWER-Activity durations must be independent (not
realistic)
Activity durations follow beta distribution
CP stays the CP no matter what actual activity duations are
Total Float - ANSWER-TF(i,j)= LT(j)-ET(i)-Tij
Critical Path - ANSWER-activities with 0 total float
Critical Path - ANSWER-the sequence of activities in a project that is expected to
take the longest to complete
Free Float - ANSWER-The amount of time that a schedule activity can be delayed
without delaying the early start date of any successor or violating a schedule
constraint.
Free Float - ANSWER-FF(ij)= ET(j)-ET(i)-Tij
PERT - ANSWER-Program Evaluation and Review Technique.
a - ANSWER-duration under ideal conditions
b - ANSWER-duration under worst case conditions
m - ANSWER-most likely duration
Expected value PERT - ANSWER-E(Tij)= (a+4m+b)/6
Variance PERT - ANSWER-V(Tij)= (b-a)^2/36
Expected time to complete a path - ANSWER-sum of all expected times for the
activities in the path.
Variance time to complete a path - ANSWER-sum of all variances for each activity
in path
Standard deviation - ANSWER-square root of variance
P(CP<=x) - ANSWER-P(CP<=x)=P(z<= (x-E(CP))/S.D)
Problems with PERT - ANSWER-Activity durations must be independent (not
realistic)
Activity durations follow beta distribution
CP stays the CP no matter what actual activity duations are
