not a critical path

task С

Work H (6; 11) can be extended for more than 5 days, as it is not critical

Task D

Activity	Comes before	Duration	Crash Duration	Crash cost per day
A	C	4 days	2 days	•
B	F	6 days	3 days	$1,200
C	D.E	6 days	3 days	$900
D	G	5 days	2 days	$1,500
E	J	6 days	3 days	$2,800 $1,300
F	H	9 days	5 days	$1300
G	I	4 days	2 days	•
H	L	5 days	3 days	$1,000
I	J	4 days	2 days	•
J	K,L	5 days	2 days	$2,500
K	M	7 days	3 days	$3,500
L	M	6 days	3 days	$1,800
M	-	3 days	1 day	-
	Sum

Paths FROM POINTS	Durations (max)
A-C-D-G-I-J-K-M	4+6+5+4+4+5+7+3=38
G-I-J-K-M	4+4+5+7+3=23
I-J-K-M	4+5+7+3=19

Activity	Duration	Crash Duration	Crash cost per day	Possible day to GAIN
A	4 days	2 days	•
B	6 days	3 days	$1,200
C	6 days	3 days	$900
D	5 days	2 days	$1,500
E	6 days	3 days	$2,800 $1,300
F	9 days	5 days	$1300
G	4 days	2 days	•
H	5 days	3 days	$1,000
I	4 days	2 days	•
J	5 days	2 days	$2,500
K	7 days	3 days	$3,500
L	6 days	3 days	$1,800
M	3 days	1 day	-

Critical Activity	Crash cost per day	Possible day to GAIN
A	•
C	$900
D	$1,500
G	•
I	•
J	$2,500
K	$3,500
M	-
Other activity
B	$1,200
E	$2,800 $1,300
F	$1300
H	$1,000
L	$1,800

We don’t know daily project costs, but if it will be $Z for example, we can do this:

Start from point A

Activity	Activity duration	Net savings	Project duration
Decrease (A) by 1 day	4(3) days	+(Z-·)
Decrease (A) by 1 day	3(2) days	+(Z-·)		Activity (A) cannot be shortened anymore
Decrease (C) by 1 day	6(5) days	+(Z-$900)
Decrease (C) by 1 day	5(4) days	+(Z-$900)
Decrease (C) by 1 day	4(3) days	+(Z-$900)		Activity (C) cannot be shortened anymore
Decrease (D) by 1 day	5(4) days	+(Z-$1,500)
Decrease (D) by 1 day	4(3) days	+(Z-$1,500)
Decrease (D) by 1 day	3(2) days	+(Z-$1,500)		Activity (D) cannot be shortened anymore
Decrease (G) by 1 day	4(3) days	+(Z-·)
Decrease (G) by 1 day	3(2) days	+(Z-·)		Activity (G) cannot be shortened anymore
Decrease (I) by 1 day	4(3) days	+(Z-·)
Decrease (I) by 1 day	3(2) days	+(Z-·)		Activity (I) cannot be shortened anymore
Decrease (J) by 1 day	5(4) days	+(Z-$2,500)
Decrease (J) by 1 day	4(3) days	+(Z-$2,500)
Decrease (J) by 1 day	3(2) days	+(Z-$2,500)		Activity (J) cannot be shortened anymore
Decrease (K) by 1 day	7(6) days	+(Z-$3,500)
Decrease (K) by 1 day	6(5) days	+(Z-$3,500)
Decrease (K) by 1 day	5(4) days	+(Z-$3,500)
Decrease (K) by 1 day	4(3) days	+(Z-$3,500)		Activity (K) cannot be shortened anymore
Decrease (M) by 1 day	3(2) days	+(Z-$1,800)
Decrease (M) by 1 day	2(1) days	+(Z-$1,800)		Desired project duration

Net savings = (Z-·)*6 + (Z-$900)*3 +(Z-$1,500)*3 + (Z-$2,500)*3 + (Z-$3,500)*4 + (Z-$1,800)*2 =Z*21-(6*·+$2700+4500+7500+14000+3600)= Z*21-(6*·+$32300)

Start from point G:

Activity	Activity duration	Net savings	Project duration
Decrease (G) by 1 day	4(3) days	+(Z-·)
Decrease (G) by 1 day	3(2) days	+(Z-·)		Activity (G) cannot be shortened anymore
Decrease (I) by 1 day	4(3) days	+(Z-·)
Decrease (I) by 1 day	3(2) days	+(Z-·)		Activity (I) cannot be shortened anymore
Decrease (J) by 1 day	5(4) days	+(Z-$2,500)
Decrease (J) by 1 day	4(3) days	+(Z-$2,500)
Decrease (J) by 1 day	3(2) days	+(Z-$2,500)		Activity (J) cannot be shortened anymore
Decrease (K) by 1 day	7(6) days	+(Z-$3,500)
Decrease (K) by 1 day	6(5) days	+(Z-$3,500)
Decrease (K) by 1 day	5(4) days	+(Z-$3,500)
Decrease (K) by 1 day	4(3) days	+(Z-$3,500)		Activity (K) cannot be shortened anymore
Decrease (M) by 1 day	3(2) days	+(Z-$1,800)
Decrease (M) by 1 day	2(1) days	+(Z-$1,800)		Desired project duration

Net savings=(Z-·)*4+(Z-$2,500)*3+(Z-$3,500)*4+(Z-$1,800)*2=Z*13-(4*·+7500+14000+3600) = Z*13-(4*·+$25100)

Start from point I:

Activity	Activity duration	Net savings	Project duration
Decrease (I) by 1 day	4(3) days	+(Z-·)
Decrease (I) by 1 day	3(2) days	+(Z-·)		Activity (I) cannot be shortened anymore
Decrease (J) by 1 day	5(4) days	+(Z-$2,500)
Decrease (J) by 1 day	4(3) days	+(Z-$2,500)
Decrease (J) by 1 day	3(2) days	+(Z-$2,500)		Activity (J) cannot be shortened anymore
Decrease (K) by 1 day	7(6) days	+(Z-$3,500)
Decrease (K) by 1 day	6(5) days	+(Z-$3,500)
Decrease (K) by 1 day	5(4) days	+(Z-$3,500)
Decrease (K) by 1 day	4(3) days	+(Z-$3,500)		Activity (K) cannot be shortened anymore
Decrease (M) by 1 day	3(2) days	+(Z-$1,800)
Decrease (M) by 1 day	2(1) days	+(Z-$1,800)		Desired project duration

Net savings = (Z-·)*2 + (Z-$2,500)*3 + (Z-$3,500)*4 + (Z-$1,800)*2 = Z*11-(2*·+7500+14000+3600) = Z*13-(4*·+$25100)

Дата добавления: 2015-07-18