project team has started gathering information necessary to develop a project network$-$

predecessor activities and activity time in days. The results of their meeting are found in the

following table:

Activity Description Duration Predecessor

$1$ A $10$

$2$ B $101$

$3$ C $81$

$4$ D $42,3$

$5$ E $74$

$6$ F $105$

$7$ G $66$

$8$ H $107$

$9$ I $157$

$10$ J $108,9$

$11$ K $510$

$12$ L $311$

Part A$.$ Create a network based on the above information. How long will the project

take? What is the critical path?

Part B$.$ Upon further review the team recognizes that they missed three finish$-$to$-$start

lags. Activity B will only involve $2$ days of work but it will take $8$ days for the parts to be

delivered. Likewise, Activity H will take $2$ days of work and $8$ days for delivery and

Activity I needs $2$ days of work and $13$ days for delivery. Reconfigure the schedule by

entering the three finish$-$to$-$start lags. What impact did these lags have on the original

schedule? On the amount of work required to complete the project?

Part C$.$ Management is not happy with the schedule and wants the project completed as

soon as possible. Unfortunately, they are not willing to approve additional resources.

One team member pointed out that the network contained only finish$-$to$-$start

relationships and that it might be possible to reduce project duration by creating start$-$

to$-$start lags. After much deliberation the team concluded that the following relationships

could be converted into start$-$to$-$start lags:

$$ Activity B could start $6$ days after the start of Activity A$.$

$$ Activity C could start $9$ days after the start of Activity A$.$

$$ Activity E could begin $1$ day after the start of Activity D$.$

$$ Activity F could start $5$ days after the start of Activity E$.$

$$ Activity G could begin $7$ days after the start of Activity F$.$

$$ Activity H and Activity I could begin $5$ days after Activity G$.$

Kuwait University

Industrial and Management Systems Engineering Department

IMSE$-372$: Project Management and Control

Spring Semester $2023/20224$

Dr$.$ Ayedh Almutairi

Homework $4($Due to $24/04/2024)$

$$ Activity K could begin $9$ days after the start of Activity J$.$

$$ Activity L could start $3$ days after the start of Activity K$.$

What impact did these lags have on the original schedule $($Part A$)?$ How long will the

project take? Is there a change in the critical path? Is there a change in the sensitivity

of the network? Why would management like this solution?