Project scheduling with uncertain activity times (Optimistic, Most likely, Pessimistic) calculator

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1. An assembly is to be made from two parts X and Y. Both parts must be turned on a lathe Y must be polished where as X need not be polished. The sequence of acitivities, together with their predecessors, is given below

Activity	Description	Predecessor Activity
A	Open work order	-
B	Get material for X	A
C	Get material for Y	A
D	Turn X on lathe	B
E	Turn Y on lathe	B,C
F	Polish Y	E
G	Assemble X and Y	D,F
H	Pack	G

Draw a network diagram of activities for the project.

2. Listed in the table are the activities and sequencing necessary for a maintenance job on heat exchangers in a refinery

Activity	Description	Predecessor Activity
A	Dismantle pipe connections	-
B	Dismantle heater, closure and floating front	A
C	Remove tube bundle	B
D	Clean bolts	B
E	Clean heater and floating head front	B
F	Clean tube bundle	C
G	Clean shell	C
H	Replace tube bundle	F,G
I	Prepare shell pressure test	D,E,H
J	Prepare tube pressure test and reassemble	I

Draw a network diagram of activities for the project.

3. Listed in the table are the activities and sequencing necessary for the competion of a recruitment procedure for management trainees in a firm.

Activity	Description	Predecessor Activity
A		-
B		A
C		A
D		C
E		B
F		C
G		D,E
H		G
I		H
J		F
K		I,J
L		K
M		L
N		J
O		M,N

Draw a network diagram of activities for the project.

4. An established company has decided to add a new product to its line. It will buy the product from a manufacturing concern, package it, and sell it to a number of distributors that have been selected on a geographical basis. Market research has already indicated the volume expected and the size of sales force required. The steps shown in the following table are to be planned.

Activity	Description	Predecessor Activity	Duration (days)
A	Organize sales office	-	6
B	Hire salesman	A	4
C	Train salesman	B	7
D	Select advertising agency	A	2
E	Plan advertising campaign	D	4
F	Conduct advertising campaign	E	10
G	Design package	-	2
H	Setup packaging campaign	G	10
I	Package initial stocks	J,H	6
J	Order stock from manufacturer	-	13
K	Select distributors	A	9
L	Sell to distributors	C,K	3
M	Ship stocks to distributors	I,L	5

(a) Draw an arrow diagram for the project.
(b) Indicate the criticla path.
(c) For each non-critical activity, find the total and free float.

5. An established company has decided to add a new product to its line. It will buy the product from a manufacturing concern, package it, and sell it to a number of distributors that have been selected on a geographical basis. Market research has already indicated the volume expected and the size of sales force required. The steps shown in the following table are to be planned.

Activity	Description	Predecessor Activity	Duration (days)
A		-	14
B		A	4
C		B	2
D		C	1
E		A	2
F		E	3
G		E	2
H		E	4
I		H,L	3
J		K	12
K		D,F,G	4
L		J	2
M		H,L	2

(a) Draw an arrow diagram for the project.
(b) Indicate the criticla path.
(c) For each non-critical activity, find the total and free float.