Title: Prezentace aplikace PowerPoint
1Project Management
CPM
Example - Music DM, Inc.
Solution - CPM
1) Construct the network
2) Event analysis
- forward pass
- backward pass
3) Activity analysis
- critical activities
- noncritical activities
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
2Project Management
CPM
Example - Music DM, Inc.
1) Construct the network
One start node one end node
Each activity ? one arc
Two nodes are connected maximally by one arc
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
3Project Management
CPM
Example - Music DM, Inc.
1) Construct the network
i lt j
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
4Project Management
CPM
Example - Music DM, Inc.
Activity Description Duration Predecessors
A Songs Selection 15 None
B Mastering 8 A
C Promotion Material Elaborating 6 A
D Customers Analysis 7 A
E Promotion Material Production 4 C, D
F Promotion Material to PH 5 E
G Customers Selection 3 D
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
5Project Management
CPM
Example - Music DM, Inc.
Activity Description Duration Predecessors
H Make CD Copies 12 B, D
I Data to PH 3 G
J Laser Print 9 F, I
K Mailing 8 H, J
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
6Project Management
CPM
Example - Music DM, Inc.
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
7Project Management
CPM
Example - Music DM, Inc.
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
8Project Management
CPM
Example - Music DM, Inc.
2) Event analysis - forward pass
The earliest event time for a node is the
earliest time at which all the preceding
activities have been completed.
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
9Project Management
CPM
Example - Music DM, Inc.
2) Event analysis - forward pass
Ascending order
ET1 ? ET2 ? ET3 ? ? ETn
The earliest event time for completing a project
is the earliest time of the last event.
T ETn
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
10Project Management
CPM
Example - Music DM, Inc.
2) Event analysis - backward pass
The latest event time for a node is the latest
time at which the event can occur without
delaying the determined completion time of the
project.
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
11Project Management
CPM
Example - Music DM, Inc.
2) Event analysis - backward pass
Descending order
LT1 ? LT2 ? LT3 ? ? LTn
The latest event time for completing a project
can be set in the planning process or can be
considered as the earliest event time for
completing a project.
LTn T ETn or LTn TPL gt T
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
12Project Management
CPM
Example - Music DM, Inc.
3) Activity analysis
Total float
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
13Project Management
CPM
Example - Music DM, Inc.
3) Activity analysis
Critical activity
TFij 0
if LTn T ETn
TFij TPL - T
if LTn TPL gt T
Noncritical activity
TFij gt 0
if LTn T ETn
TFij gt TPL - T
if LTn TPL gt T
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
14Project Management
CPM
Example - Music DM, Inc.
3) Activity analysis
Critical path
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
15Project Management
CPM
Example - Music DM, Inc.
3) Activity analysis
Noncritical activity
1) Start of the activity can be postponed
2) Duration of the activity can be extended
3) Combination of 1 and 2
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry