Network Models 367
x2 6
x3 15
x4 20
x5 28
24.6.3 Reducing the Time to Complete a Project
When a decision is taken to reduce the total time to complete a project, additional
resources must be allocated to the various activities. Linear optimization is used to
minimize the total cost of allocating the additional resources to the project activities.
Let r
i j
denote the number of days that the duration of activity A
i j
is reduced, and
c
i j
denote the cost per day of allocating additional resources to activity A
i j
. Let R
denote the time (in days) that an activity can be reduced, and let T denote the new
total time (in days) of the project completion. The objective function to minimize is:
z =
n−1
∑
i=1
n
∑
j=2
c
i j
r
i j
, for all activities A
i j
The time-reduction constraints ...