Lec11 crashing-b
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Transcript of Lec11 crashing-b
![Page 1: Lec11 crashing-b](https://reader031.fdocuments.us/reader031/viewer/2022021919/58707fed1a28ab57368b6217/html5/thumbnails/1.jpg)
CHAPTER 5: SCHEDULE COMPRESSION AND TIME-COST TRADE OFF
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THE CRASHING PROCEDURE.Estimates of activity times for projects usually are made for some
level of resources.
It is possible to reduce the length of a project by injecting additional resources.
The desire to shorten the length of a project merely reflects an attempt to reduce the indirect costs associated with running the project and increasing direct expenses by using additional funds to support additional personnel or more efficient equipment.
The goal of time-cost trade-offs is to identify activities that will reduce the sum of the indirect and direct costs (the total cost).
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DIRECT AND INDIRECT COSTS
The contractor’s main expenses are as follows:
I- Direct Costs1. Labor, particularly hourly workers, for whom a labor expenses
can be directly linked to a particular work item
2. Materials, such as concrete, lumber, nails, paints, steel, and installed equipment, such as elevators, air-conditioning units, and kitchen equipment.
3. Equipment, particularly construction equipment (bulldozers, excavators, cranes, pumps….)
4. Other costs, such as government permits and fees , and fees for lawyers and consultants hired for specific task in a project.
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DIRECT AND INDIRECT COSTS
II- Indirect Costs
A. Project overhead (or job overhead), such as the following:
1. Project staff (project manager, project engineer, secretary, clerk,…..)
2. Office trailer and other temporary structures 3. Cars and trucks assigned to the project team. 4. Office equipment (copying machine, fax machine,
computers…) 5. Temporary utilities (electricity, water, drinking
water, telephone, cell phone, portable toilets…)
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II- Indirect Costs B. General overhead , such as the following: 1. Main office expenses (rent, maintenance,…) 2. Main office personnel. 3. Main office equipment and vehicles. 4. Other main office expenses, such as advertising.
Project total cost = Direct costs + Indirect costs
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EFFECT OF CRASHING ON INDIRECT COST
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EFFECT OF CRASHING ON DIRECT COST
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EFFECT OF CRASHING ON TOTAL COST
Totalcost
Shorten
Shorten
Cumulativecost of crashing
Expected indirect costs
Optimum
CRASH
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19 20 22 24 260
500010000150002000025000300003500040000
cost
cost
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Example1:Using the following information, develop the optimal time-cost solution . Normal cost of the
project $6000. Indirect costs are $1,000 per day.
Activity predecessors Normal time
Crash time
Crash potential
Cost slope
abcdef
---a---cdb, e
6105492
684171
------21321
---$500 300 700 600 800
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6a
4d
5c
10b
9 e
2f
1- Determine which activities are on the critical path: Critical path :c-d-e-f………………..length 20 days.2- Rank the critical path activities in of lowest crashing cost
and determine the number of days each can be crashed.
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SOLUTION
path duration
Crash 1 Crash 2 Crash 3
A-b-f 18 18 18 17C-d-e-f 20 19 18 17
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SOLUTION 1-Crash C by 1 day @ $300 (cost slope value of C) 2-Crash E by 1 day @ $600 3-Crash B&E by 1 day @ $500+ $600=
$1100>1000
Note that both paths are critical that is why we had to crash both B&E at the same time
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FIND THE OPTIMAL SOLUTION??Crashed activity
Project duration
Direct cost
Indirect cost
Total cost
None 20 $6000 20x 1000 $26,000C 19 6300 19x 1000 25300E 18 6900 18x1000 24900
optimumB, E 17 8000 17x1000 25,000
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CAN U FIND A BETTER SOLUTION?3- Begin shortening the project, and check after
each reduction to see which path is critical. a- shorten activity c one day at $300. b- shorten activity e one day at a cost of $600.
the length of path c-d-e-f is now 18 days the same as the length of path a-b-f.
c- the paths are now both critical. d- crash f by one day at $800. e- At this point no further improvement is
feasible.
Crashing b and e at $1,100 would exceed the indirect project costs of $1,000 per day.
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SOLUTION OF SECOND METHOD 1-Crash C by 1 day @ $300 (cost slope value of C) 2-Crash E by 1 day @ $600 3-Crash F by 1 day @ $800 4-Crash B&E by 1 day @ $500+ $600=
$1100>1000
Note that both paths are critical that is why we had to crash both B&E at the same time
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MORE OPTIMAL SOLUTION
Crashed activity
Project duration
Direct cost
Indirect cost
Total cost
None 20 $6000 20x 1000 $26,000C 19 6300 19x 1000 25300E 18 6900 18x1000 24900 F 17 7700 17x1000 24,700 optimumB,E 16 8800 16x1000 24,800
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Example2:Using the following information, develop the optimal time-cost solution . Indirect costs are $120
per day.
Activity Immediate predecessors
Normal time (days)
Crash time(days)
Normal cost $
Crash cost $
ABCDEFGH
---AAAB, CCD, FE, F
578116476
45574455
5003508001200600500700300
60050092014007005001000420
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Solution: First calculate cost slope Second sum up the total direct cost=$4950
Activity Immediate predecessors
Normal time (days)
Crash time(days)
Normal cost $
Crash cost $
Cost slope
ABCDEFGH
---AAAB, CCD, FE, F
578116476
45574455
5003508001200600500700300
60050092014007005001000420
10075405050----150120
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SOLUTION path duration 1 2 3ABEH 24 24 23ACEH 25 24 23ACFH 23 22 22ACFG 24 23 23ADG 23 23 23
A
H
G
F
EB
C
D
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SOLUTION: STRATEGY 1 Crash activity C by 1 day @ 40$ Crash activity E by 1 day @ 50$ Crash activity A by 1 day @ 100$ Crash activity B,C,D by 1 day @ 165$
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SOLUTION: STRATEGY 1
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
E 23 5040 23x120= 2760 7800
A 22 5140 22x120= 2640 7780
B,C,D 21 5305 21x120= 2520 7825
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SOLUTION: STRATEGY 2
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
E 23 5040 23x120= 2760 7800
A 22 5140 22x120= 2640 7780
H,G 21 5410 21x120= 2520 7930
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SOLUTION: STRATEGY 3
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
E 23 5040 23x120= 2760 7800
A 22 5140 22x120= 2640 7780
E,G 21 5340 21x120= 2520 7860
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SOLUTION: STRATEGY 4
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
E 23 5040 23x120= 2760 7800
E,G 22 5240 22x120= 2640 7880
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SOLUTION: STRATEGY 5
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
B,C 23 5080 23x120= 2760 7840
A 22 5180 22x120= 2640 7820
E,D 21 5380 2520 7800
E,G 20 5580 2400 7980
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SOLUTION: STRATEGY 6 (NOT-PREFERRED)
Cashed activity
Project duration
Direct cost
Indirect cost Total cost
None 25 $4950 25x 120=3000 $7950
C 24 4990 24x 120=2880 7870
B,C 23 5105 23x120= 2760 7865
E,C,D 22 5245 22x120= 2640 7885
STRATEGY 5 (NOT-PREFERRED) SINCE PATH ACEH IS REDUCED BY 2 DAYS IN ONE STEP
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EXAMPLE 3 Using the following information, develop the optimal
time-cost solution . Indirect costs are $12,000 per week. Direct cost is assumed to be $21,000 Suppose direct cost is not given what should you do?
Activity Normal duration
Immediate predecessors
Crashing potential (weeks)
Cost per week to crash
A B
C D E F
10 14
13 6 15 8
-- A
-- C -- E
3 3 2 1 3 1
$11,000 3,0001st week,$4,000
others 6,000 1,000 6,000 2,000
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SOLUTION path duratio
n1 2 3 4 5
A-B 24 23 22
21 20 19
C-D 19 19 19
19 19 19
E-F 23 23 22
21 20 19
Start End
F,8
D,6
B,14A,10
C,13
E,15
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SOLUTION 1-Crash B by 1 Week @ $3000 (cost slope value ) 2-Crash B&F by 1 Week @ $4000+ $2000=
$6000 3-Crash B&E by 1 Week @ $4000+ $6000=
$10,000 4-Crash A&E by 1 Week @ $11000+
$6000=$17000 5-Crash A&E by 1 Week @ $11000+
$6000=$17000
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SOLUTION
Crashed activity
Project duration
Direct cost
Indirect cost Total cost
None 24 $21,000 24x 12000=288,000
$309,000
B 23 24,000 23x 12000=276,000
300,000
B,F 22 30,000 22x12000=264,000
294,000
B,E 21 40,000 21x12000=252,000
292,000 optimum
A,E 20 57,000 20x12000=240,000
297,000
A,E 19 74,000 19x12000=228,000
302,000
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SOLUTION WHEN DIRECT COST IS NOT GIVEN
Crashed activity
Project duration
Direct cost
Indirect cost Total cost
None 24 X 24x 12000=288,000
288,000 +X
B 23 X+3000 23x 12000=276,000
279,000 +X
B,F 22 X+9000 22x12000=264,000
273,000 +X
B,E 21 X+19,000
21x12000=252,000
271,000 +X optimum
A,E 20 X+36,000
20x12000=240,000
276,000 +X