Submitted By: [Group 6] Harsh Raj Harshad Patil Pratyush Rai Sadees K Vinay Prabhakar Vishwajit Vyas Vivek A
Case Summary:
Marriage date: 22 April
Start Date: 1 st April
Remaining Days: 22
Remaining Days for wedding rehearsal: 21
So as to complete the activities in given schedule, we have to pay cost, called as crash cost to complete it in given time called crash time.
SolutionP The list of activities to be completed, Activity Time, Immediate Predecessor, their Normal Time and Crash Time are given below:
Immediate
Activity
Crash
Activity
Predecessor
Normal
Time
Name
Dependency
(Days)
(Days)
Reserve Church and wedding Hall
A
-
1
-
Notice for Church
B
A
17
10
Decorate Church
C
B
3
-
Get Bridesmaid
D
-
10
2
Choose Cake and Table
E
-
2
-
Order for Dinner
F
E
10
-
Choose Pattern for Wedding Dress
G
-
3
-
Order & receive Material for Wedding Dress
H
G
8
5
Sewing of Dress
I
H
11
6
Final Fitting
J
D,I
2
-
Clean and Press Dress
K
J
2
1
Choose Invitations
L
-
3
-
Order Invitations
M
L
12
5
Guest List and Addressing Invitations
N
M
4
2
Send Invitations
O
O
1
-
Invitations Reaching Guests
P
P
10
8
Gift for Bridesmaid
Q
-
1
-
Wedding rehearsal and rehearsal dinner
R
C,D,F,K,Q,R
1
-
Wedding
S
S
1
-
The individual Path lists calculated from above are given below:
Listing of Paths with Normal Completion Time
Path Number 1
Path Description Invitations
Path LMNOPRS
Normal Completion Time (in Days) 32
Guest Prep and 2
Invitations
TOPRS
17
3
Dress for Bride
GHIJKRS
28
4
Church and Hall
ABCRS
23
5
Dress for Bridesmaid
DJKRS
16
6
Dinner Arrangements
EFRS
14
7
Gift for Bridesmaid
QRS
3
Maximum Number of Days with Wedding
22
Completion time needs to be reduced for paths 1, 3 and 4
From the path list we can conclude that the critical path is t he Invitation which takes 32 days to complete. Since, wedding needs to happen in 22 days. So, completion time needs to be brought down for activities 1, 3 and 4.
Calculation of Cost per Day to Expedite Each Activity Activity
Activity
Immediate
Normal
Crash
Crash
Cost/Day to
No of days
Name
Predecessors
(NT)
Time
Cost-
Expedite
activity can
(Days)
(CT)
Normal
(CC-
be
(Days)
Cost
NC)/(NT-
shortened
(CC-
CT)
NC) (in $) Reserve Church and wedding
A
-
1
-
-
-
-
Notice for Church
B
A
17
10
100
14.28571429
7
Decorate Church
C
B
3
-
-
-
Get Bridesmaid
D
-
10
-
-
-
Choose Cake and Table
E
-
2
-
-
-
Order for Dinner
F
E
10
-
-
-
Choose Pattern for Wedding
G
-
3
-
-
-
H
G
8
5
25
8.333333333
3
Sewing of Dress
I
H
11
6
600
120
5
Final Fitting
J
D,I
2
-
-
-
Clean and Press Dress
K
J
2
-
-
-
Choose Invitations
L
-
3
-
-
-
Order Invitations
M
L
12
5
35
5
7
Addressing Invitations
N
M,T
4
2
50
25
2
Send Invitations
O
N
1
-
-
-
Invitations Reaching Guests
P
O
10
-
-
-
Gift for Bridesmaid
Q
-
1
-
-
-
Wedding rehearsal and
R
C,F,K,P,Q
1
-
-
-
Wedding
S
R
1
-
-
-
Guest List Preparation
T
-
4
-
-
-
Hall
-
Dress Order & receive Material for Wedding Dress
-
-
rehearsal dinner
Designation
Activity
A
Reserve Church and wedding Hall
B
Notice for Church
C
Decorate Church
D
Get Bridesmaid
E
Choose Cake and Table
F
Order for Dinner
G
Choose Pattern for Wedding Dress
H
Order & receive Material for Wedding Dress
I
Sewing of Dress
J
Final Fitting
K
Clean and Press Dress
L
Choose Invitations
M
Order Invitations
N
Addressing Invitations
O
Send Invitations
P
Invitations Reaching Guests
Q
Gift for Bridesmaid
R
Wedding rehearsal and rehearsal dinner
S
Wedding
T
Guest List preparation
The Network Diagram and the Critical path can be found above Now to bring down the time we calculate the following: 1)
Calculation of Cost per Day to Expedite Each Activity
2)
Chart for Reduction of Project Completion Time
Conclusion: From the charts we conclude that at an additional cost of $ 810 the wedding preparation can be completed in 22 days as per the given case requirement.