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Chapter 9

REDUCING PROJECT DURATION

Exercises

Note: Use the procedure presented in the chapter example to compute exercises; that is,compress one time unit per move using the least-cost method.

1. Draw a project networ !ro" the !o##owin$ in!or"ation.

Acti%it& Pre'ecessor D(ration

A None 2

B A 4C A ! A 2" B # C $% C, ! &' ", # $( % &) ', ( &

Acti%ities ) an' * can +e shortene' to a "ini"(" o! , wees. -hich acti%it&

wo(#' &o( shorten to re'(ce the project '(ration +& , wees -h&

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,. Ass("e the networ an' 'ata that !o##ow. Co"p(te the tota# 'irect cost !or each

project '(ration. I! the in'irect costs !or each project '(ration are /0 219

ti"e (nits34 /56 21734 /5 21834 an' /,6 2134 co"p(te the tota# project cost !or

each '(ration. P#ot the tota# 'irect4 in'irect4 an' project costs !or each o! these

'(rations on a cost:ti"e $raph. -hat is the opti"(" cost:ti"e sche'(#e !or the

project -hat is this cost

2 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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Chapter 1 Reducing Project Duration

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4 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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he optimum duration is 3 time units at a cost o 5647.8*ro note- 6 9ould also e ust as good as 3, rom a total cost perspectiveou can crash ! or ".

7 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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Chapter 1 Reducing Project Duration

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2 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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6. I! the in'irect costs !or each '(ration are /5 !or ,8 wees4 /,0 !or , wees4

/17 !or ,6 wees4 /1, !or ,0 wees4 / !or ,5 wees4 an' /6 !or ,, wees4

co"p(te the 'irect4 in'irect an' tota# costs !or each '(ration. -hat is the

opti"(" cost:ti"e sche'(#e The c(sto"er o!!ers &o( /1 'o##ars !or e%er&

wee &o( shorten the project !ro" &o(r ori$ina# networ. -o(#' &o( tae it I!

so !or how "an& wees

Note: he duration or this schedule is 9ee=s. 0tudents should e reminded that the>crash the schedule one 9ee= at a time 8not divide the 9ee= into da>s

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4 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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Chapter 1 Reducing Project Duration &

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$ *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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. Use the in!or"ation containe' +e#ow to co"press one ti"e (nit per "o%e (sin$

the #east cost "etho'. Re'(ce the sche'(#e (nti# &o( reach the crash point o! the

networ. ;or each "o%e i'enti!& what acti%it&2s3 was crashe'4 the a'j(ste' tota#

cost4 an' exp#ain &o(r choice i! &o( ha%e to choose +etween acti%ities that cost

the sa"e.

Note< Crash point o! the networ is the point in which the '(ration cannot+e re'(ce' an& !(rther.

Activit>(! 0lope

aximumCrash ime

!irect CostsNormal Crash

ime Cost ime Cost

A - 7 4 5&7 7 -B 547 & 37 2 517C 47 & 67 4 27! 47 2 4 47 2 27" 47 2 & $7 47# 47 & &7 4 17% 7 4 37 77' 7 4 67 7( - 7 &7 7 -

otal direct normal costs@ 5&&7

Caution: here is an error in the text the crash cost or Activit> C should e 27,not 47. his should not e a prolem or most students since the slope is correctl>listed as 547, ut 9e encourage >ou to point this out eore assigning this exercise.Professor note- than=s to 0. )og or catching another oo= error- (n order or % tohave a slope o 7, the crash cost needs to e 577, not 5$7. (t is changed here.

Chapter 1 Reducing Project Duration 3

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6 *+)"C ANA%""N: '" ANA%"+(A/ *+C"00

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Chapter 1 Reducing Project Duration 1

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