hkis-06oct10.pps
TRANSCRIPT
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Modern Delay Analysis
Techniques
Scott Adams BEng LLB PgD LLM CEng MICE FCIArb MAPM MAE
Scott Adams Consultants Ltd
!"! #in$ield Commercial Bldg
%&' Prat A(enue) TST) *+
Tel, -./- /0"') Fa1, -0-. /0.'
#eb, 222scadaconcomh3
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Modern Delay Analysis
Techniques1. ‘Static’ methods
4 5nly one net2or3 used, Delays added into it) or
subtracted $rom it 6 7rogress not accounted $or
2. ‘Dynamic’ methods
4 Se(eral net2or3s used) 8u7dated9 either in real time or
retros7ecti(ely 6 7rogress accounted $or
[AACE International Recommended PracticeNo.29R-03 “Forensic Schedle Anal!sis"# $-le%el
ta&onom!' (i%in( ) *road methodolo(ies
descri*ed o%er +0$ closel!-t!,ed ,a(es
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Contents
4 The irant case
4 #indo2s analysis 6 an e1am7le
4 5ther :DA techniques4 Ad(antages and disad(antages
4 The Cit! Inn Case
4 Problems o$ 7rogramming
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Mirant ( 5(e Aru7 ;-""0<
4 =#indo2s analysis) re(ie2ing the course o$ a
Pro>ect month by month) 7ro(ides an e1cellent
$orm o$ analysis to in$orm those controlling thePro>ect 2hat action they need to ta3e to 7re(ent
delay to the Pro>ect?
4 =#ithout such analysis those controlling thePro>ect may thin3 they 3no2 2hat acti(ities are
on the critical 7ath *t it ma! /ell a,,ear ater a
critical ,ath anal!sis that the! /ere mista1en?
Summary obser(ations o$ **@ Toulmin at !%,
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#indo2s Analysis
4 =The e17ert must not only be $amiliar 2ith
the chronology) he must tell the stor! in his
re7ort Some 2ould say that the
so$t2are e1ercise counts $or nothing
unless bac3ed u7 by the narrati(e?
ohn arrin C# E&,ert E%idence on 4ela! and
4isr,tion 5 6he 6ri*nal7s Pers,ecti%e
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#indo2s Analysis
4 E1am7le 7ro>ect, Ci(il Engineering #or3s
4 But & e1actly the same 7rogramming
7rinci7les a77ly in building 2or3s 7ro>ects
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#indo2s Analysis
4 E1am7le 7ro>ect, Bridge and A77roach
:oad
4Start date "/&@an&"0 Date $or Com7letion."&@un&"0 % month 7ro>ect
4 Main Contractor a bridge s7ecialist but
not a road&2or3s s7ecialist 6 so this 2ill be
sub&contracted out
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www.scadacon.com.hkF a m e D u r
T o t a l
$ l o a t
2 0 0 7
F e b M a r A p r M a y J n J
E x c a v a t e F o u n d a t i o n s
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
/ % d
' " d
. " d
- " d
. " d
! " d
. " d
/ ! d
% % d
% % d
% % d
% % d
- " d
Bridge $orms critical
7ath % months to
construct
T*E IITIAL P:5H:AMME Care$ully 7lanned and resourced
A77roach :oad has
%%d o$ =$loat?
%%d
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E(ents in First =#indo2? @anFeb
4 Day 1- E1ca(ation starts SC bids com7iled
4 Day 10- J5/ issued) increasing the de7th o$
abutment $oundations 6 -"d e1tra e1ca(ation
required4 Day 2- :oad Subcontract a2arded B !d
late
4 Day / %nd o window- i Abutmentse1ca(ation almost com7leted ii :oad 7a(ing
cannot be sourced materials shortage
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www.scadacon.com.hkF a m e D u r
T o t a l
$ l o a t
2 0 0 7
F e b M a r A p r M a y J n J 3
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
/ % d
' " d
. " d
- ! d
A ' d
! " d
. " d
/ ! d
/ - ' d
! ' d
! ' d
& - " d
- " d
J5/
Increased de7th, -"d
additional e1ca(ation
Subcontract a2arda$ter -!d !d late
Pa(ing not commenced
due to material shortage
SITKATI5 AS AT ED 5F FEB "0 Close o$ First 8#indo29
/st 2indo2
-"d delay
due to J5/
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E(ents in -nd =#indo2? MarA7r
4 Day 40- E1ca(ation o$ abutments com7leted Day 7-
Pa(ement laying commenced
4 Day 50- Concreting o$ abutments com7letes slo2ly)
ta3ing ."d in total so a /d delay
4 Day 100- J5- 6 ma>or instruction $or a $urther 3m o$
road) in di$$icult ground on 7iles 6 7lanned at 21d to
source 7iling sc) 60d to dri(e ." 7iles) 20d to test) 60d to
construct ne2 road drains) and 1d $or street $urniture
4 Day 120 %nd o window- o $urther delays) but due to
massi(e J5-) the a77roach roads are no2 on the critical
7ath
2 0 0 7
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t
2 0 0 7
F e b M a r A p r M a y J n J 3 A
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , A $ $ o i n t $ i l i n g S - C
* + , ' i l i n g . t e s t
* + , L a " d r a i n s # $ a v i n g
* + , L i g h t i n g . F u r n i t u r e
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
. " d
0 G d
. " d
- ! d
% . d
% " d
. " d
- " d
! h
! " d
. " d
/ ! d
/ ! d
/ A d
/ A d
. . d
A . d
& A ' d
- " d
-nd 2indo2
SITKATI5 AS AT ED 5F AP: "0 Close o$ Second 8#indo29
Slo2 Concreting o$
Abutments /d delay
J5-
e2 "!3m o$ road in7oor ground on 7iles
'd delay -"d J5/) /d
slo2 abutments /d J5-
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-/d
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E(ents in .rd =#indo2? May@un
4 Day 121- False2or3 erectors go on stri3e $or the 2hole
month o$ May
4 Day 16- Contractor says that he 2ill mitigate the delay
by doubling u7 resources on the commissioning stage
4 Day 140- J5. 6 /" more 7iles instructed in the ne2 7iled
a77roach section) these 2ill ta3e an e1tra /" days to
com7lete
4 Day 1/1 %nd o window- o $urther delays) but due to
the month&long stri3e) the bridge has become once again
more critical than the a77roach road
2 0 0 7
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t
2 0 0 7
F e b M a r A p r M a y J n J 3 A S
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , A $ $ o i n t $ i l i n g S - C
* + , ' i l i n g . t e s t
* + , L a " d r a i n s # $ a v i n g
* + , L i g h t i n g . F u r n i t u r e
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
. " d
' ! d
. " d
- ! d
% . d
% " d
. " d
- " d
! h
% " d
. " d
/ ! d
' d
/ A d
/ A d
& % % d
- " d
.rd 2indo2
5ne month lost due to
$alse2or3 sc stri3e
J5., Additional 7iles
instructed at ne2 road
J5.
SITKATI5 AS AT ED 5F @K "0 Close o$ Third 8#indo29
%%d delay -"d J5/) /d slo2 abutments
/d J5- -!d stri3e &0d mitigation
Mitiation-
commissionin
now on3y /d-/d
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E(ents in th =#indo2? @ulAug
4 Day 1/2 8 Day 296- Further 7roblems 2ith
False2or3 erectors 6 not all 2ere 7leased 2ith
stri3e settlement terms) and 7roducti(ity su$$ers
4 Day 296 %nd o window- o $urther delaysa77roach road com7leted bar $or commissioning
but the ele(ated bridge concrete dec3 only
managed com7letion at the (ery end o$ this
7eriod The bridge thus remained more criticalthan the a77roach road throughout
d hkT t l 2 0 0 7
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t
2 0 0 7
M a r A p r M a y J n J 3 A S e p '
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , A $ $ o i n t $ i l i n g S - C
* + , ' i l i n g . t e s t
* + , L a " d r a i n s # $ a v i n g
* + , L i g h t i n g . F u r n i t u r e
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
. " d
/ / 0 d
. " d
- ! d
% . d
% " d
. " d
- " d ! h
% " d
. " d
/ ! d
' d
& G ' d
- " d
SITKATI5 AS AT ED 5F AKH "0 Close o$ Fourth 8#indo29
th
2indo2
More than one $urther
month lost due to 7oor
$alse2or3 sc
7roducti(ity
G'd delay -"d J5/) /d slo2 abutments
/d J5- -!d stri3e &0d mitigation .-d
7oor $alse2or3 7roducti(ity
-/d
d hk
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E(ents in !th =#indo2? Se75ct
4 Day 270- J5) some ne2 road mar3ings and
re(ised drainage causes an e1tra /"d o$ 2or3
4 Day 2/5 %nd o pro:ect- The 7ro>ect
com7letes on /% 5ctober -""0) some /"' dayslate
4 Critical J5s,& J5/N-"d) J5-N/d J5N/"d,
Total N 99d
d hkT o t a l 2 0 0 7
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t
2 0 0 7
M a r A p r M a y J n J 3 A S e p ' c t
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , A $ $ o i n t $ i l i n g S - C
* + , ' i l i n g . t e s t
* + , L a " d r a i n s # $ a v i n g
* + , L i g h t i n g . F u r n i t u r e
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
. " d
/ / 0 d
. " d
- ! d
% . d
% " d
. " d
- " d ! h
% " d
. " d
/ ! d
/ ' d
- " d
&/"'
!th
2indo2
SITKATI5 AS AT ED 5F 5CT "0 Close o$ Fi$th 8#indo29 /"'d
J5e2 :oad mar3ing
scheme
-/d
d hk
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-"d
/d
/"d
d hk
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As&Built Subtracted Analysis
4 Ta3e the as&built 7rogramme) and subtract the
delays 2hich the contractor has su$$ered 2hich
are not to his o2n de$ault
4 This gi(es rise to a theoretical date) the date on2hich the contractor 2ould ha(e $inished *t or
the delays
4 The di$$erence bet2een the ABBF date) and the
actual com7letion date re7resents the 7otential
entitlement to E5T
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t
2 0 0 7
M a r A p r M a y J n J 3 A S e p ' c t
) n i t i a l e x c a v a t i o n w o r k s c o $ e
* + i n c r e a s e d d e $ t h
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , A $ $ o i n t $ i l i n g S - C
* + , ' i l i n g . t e s t
* + , L a " d r a i n s # $ a v i n g
* + , L i g h t i n g . F u r n i t u r e
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
- " d
. " d
/ / 0 d
. " d
- ! d
% . d
% " d
. " d
- " d ! h
% " d
. " d
/ ! d
/ ' d
- " d
AS&BKILT BKT&F5: AS&BKILT SKBT:ACTED AALOSIS
J5-
J5.
J5/
J5&/"'
-/d
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www.scadacon.com.hkF a m e D u r T o t a l$ l o a t M a r A p r M a y J n J 3 A S e p ' c t
) n i t i a l e x c a v a t i o n w o r k s c o $ e
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
A s / 0 u i l t / 0 u t / F o r D a t e
C o m $ l e t i o n D a t e
A " d
. " d
/ / 0 d
. " d
- ! d
% . d
% " d
. " d
' d
& / A d
- " d
AS&BKILT BKT&F5: AS&BKILT SKBT:ACTED AALOSIS
&0'
."d
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As&Built Subtracted Analysis
4 The =longest 7ath? is $a(oured
4 5nly the J5s on the longest 7ath $eature in the
subtraction) irres7ecti(e o$ the contem7orary
criticality o$ other J5s4 Thus) J5/ -"d and J5 /"d are those 2hich)
2hen subtracted) cause the ABBF date to be
colla7sed bac3 in time Thus the 7otential E5T
entitlement here is 60d c$ d in the 2indo2s
analysis
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As&Planned Im7acted Analysis
4 The initial 7rogramme 2arts and all is ta3en)
and into it are im7acted all o$ the delays 2hich
the contractor has su$$ered
4 The im7acts are 8added9 into the initial net2or3sometimes this is done in 8real time9) but this
causes 7roblems i$ the delays are caused late
due to the contractor9s o2n 7roblems eg a J5
instructed at a late stage merely because o$earlier contractor9s delays
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www.scadacon.com.hkF a m e D u r
T o t a l
$ l o a t
2 0 0 7M a r A p r M a y J n J 3 A S e p
) n i t i a l e x c a v a t i o n w o r k s c o $ e
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s
' r o e c t E n d D a t e
A " d
/ % d
' " d
. " d
- " d
. " d
! " d
. " d
/ ! d
% % d
% % d
% % d
% % d
- " d
T*E IITIAL P:5H:AMME Care$ully 7lanned and resourced
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www.scadacon.com.hkF a m e D u r T o t a l
$ l o a t
2 0 0 7
b M a r A p r M a y J n J 3 A S
E x c a v a t i o n i n c l * +
C o n c r e t e A b u t m e n t s
F a l s e w k ; c o n c r e t e D e c k
L i g h t i n g a n d F u r n i t u r e
A & & " ' A ( ) " ' A D
S u b c o n t r a c t R o a d w o r k s
E x c a v a t e R o a d ( k m !
L a " d r a i n s # $ a v i n g ( k m !
S t r e e t l i g h t i n g i n s t a l l a t i o n
* + , & * + 1
( ' M & * % + # ' ,
% & C L i g h t s & D r a i n s & * + 2
' r o e c t E n d D a t e
% " d
/ % d
' " d
. " d
- " d
. " d
! " d
. " d
/ - % d
- ! d
. G d
. G d
. G d
. G d
/ - ! d
/ - ! d
/ - ! d
/ - ! d
& % G d
- " d
J5/
J5-)
J5.J5
&%'d
T*E IITIAL P:5H:AMME IMPACTED #IT* J5/&J5
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As&Planned Im7acted Analysis4 The im7acts ta3e no account o$ 7rogress) or o$ any o$ the
contractor9s o2n de$aults
4 The resultant date is again a theoretical date) 7erha7s best
described as the date $or 2hich the contractor 2ould ha(e
7rogrammed i$ it had 3no2 about all o$ the additionally
instructed 2or3 at the outset
4 I$ the J5s are im7acted in chronological order) then they all
$igure in this e1am7le, J5/N-"d J5-N-'d J5.N/"d
J5N/"d, Total N 4/d c$ ."d ABBF) d 2indo2s analysis
4 et delay gi(en initial $loat and the 7rior occurrence o$ J5/
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Ad(antages Disad(antages
4 The 8static9 analyses APIP) ABBF are sim7le)requiring only t2o sheets o$ 7a7er $or a 8be$oreand a$ter9 e$$ect
4 But their results are theoretical) there is noaccount o$ 7rogress made) no account o$changes to the 7lan) no account o$ mitigation
4 The 82indo2s9 analysis does ta3e account o$
such $actors) 2hich may account $or the 2armrece7tion in the irant case but this does comeat a cost o$ com7le1ity) and the 7rogrammesmust be reliable also,
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Ad(antages Disad(antages
4 =Although the status at the start and end o$ the
2indo2 2ill allo2 any delay to be quanti$ied it 2ill
not in itsel$ demonstrate the cause or causes o$
delay Analysis o$ these ;intra&2indo2< delayinge(ents can be carried out by using any method
2hich is a77licable) de7endant u7on the
acti(ities and the e(ents in question It may be
a77ro7riate to use a 8colla7sed as&built9 or an 8as&7lanned im7acted9 methodology ?
8o/sle!' 8innett “A*ot 6ime"' ,.90
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*+ Standard Form Pri(ate Form
4 K7on it becoming reasonably a77arent that the7rogress o$ the 2or3s is delayed) the MC shall
$orth2ith gi(e 2ritten notice and i$ in the o7inion o$
the Architect the com7letion o$ the 2or3s is li3ely to be
or has been delayed beyond the D$C by ;the(arious reasons< then he shall as soon as he is able
to estimate the length o$ the delay ma3e a $air and
reasonable e1tension o$ time $or the com7letion o$ the
#or3s ?
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4 Scottish Decision only o$ 7ersuasi(e(alue in *+
4 @CT&style contract 8actual9 and 8li3ely9
delay can gi(e rise to E5T4 Pursuer9s e17ert used some $orm o$ CPM
De$ender9s e17ert used an =as&7lanned (s
as&built? chart not a CPM analysis andseemingly not ca7able o$ discerning li3elydelay
(ity #nn ; Shepherd
(onstrction
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City Inn ( She7herd Construction
;-""0<
4 = Consequently I thin3 it necessary to re(ertto the methods that 2ere in use be$orecom7uter so$t2are came to be used
e1tensi(ely in the 7rogramming o$ com7le1construction?
4 =The older methods are still 7lainly (alid)and i$ com7uter&based techniques cannotbe used accurately there is no alternati(e tousing older non&com7uter&basedtechniques?
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City Inn ( She7herd Construction
;-""0<
4 = in the ty7e o$ 7rogramme used to carry out
CPM analysis any signi$icant error in the
in$ormation $ed into the 7rogramme can
in(alidate the 2hole analysis it is easy toma3e such errors?
4 =That seems to me to in(alidate the use o$ an
as&built CPM analysis to disco(er a$ter the e(ent
2here the critical 7ath lay) at least 2here $ullelectronic records are not a(ailable $rom the
Contractor?
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City Inn ( She7herd Construction
; A77eal, -"/"<4 C5CK::ET DELAO Lord Carlo2ay
4 The initial e1ercise to be carried out by the architectoccurs u7on the a77lication o$ the contractor) 2ho 2illha(e requested an e1tension o$ time by intimating) under
clause -!-) that the 7rogress o$ the #or3s Qis being oris li3ely to be delayedQ *e 2ill claim that a :ele(antE(ent has been the) or at least a) cause o$ the delay Thearchitect then has to decide 2hether he considers thatthe com7letion o$ the #or3s is li3ely to be delayed by a
:ele(ant E(ent beyond the Com7letion Date clauses-!.// and -
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City Inn ( She7herd Construction
; A77eal, -"/"<4 C5CK::ET DELAO Lord Carlo2ay
4 This 7ro(ision is designed to allo2 the contractorsu$$icient time to com7lete the #or3s) ha(ing regard tomatters 2hich are not his $ault ie :ele(ant E(ents
This does not) at least strictly) in(ol(e any analysis o$com7eting causes o$ delay or an assessment o$ ho2 $arother e(ents ha(e) or might ha(e) caused delay beyondthe Com7letion Date It 7roceeds) to a large e1tent) u7ona hy7othetical assum7tion that the contract has
7roceeded) and 2ill 7roceed) 2ithout contractor de$aultIt in(ol(es an assessment) on that assum7tion) o$ thedelay 2hich 2ould ha(e been caused to the Com7letionDate 7urely as a result o$ the :ele(ant E(ent
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-"d
-'d
/"d
/"d
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City Inn ( She7herd Construction
; A77eal, -"/"<
4 C5CK::ET DELAO Lord Carlo2ay
4 J5/ N -" days
4 J5- N -' days4 J5. N /" days
4 J5 N /" days
So the “8ord Carlo/a! a,,roach" mightgi(e a %' day entitlement 6 the same as
the as&7lanned&im7acted in this e1am7le
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Common Programming and
Planning Problems
4 Planner o$ten a >uniorine17erienced sta$$ member
4 o resources are considered in 7rogrammes
4 Programmes are bar&charts) 2ith no logic4 The 8concertina9 e$$ect 6 7rogramme de7ictscom7letion on time) e(en a$ter se(eral delays ha(eoccurred
4 =5P N PC?4 PC certi$ied $or commercial secret reasons
4 The 7rogramme becomes a commercial or 7oliticaldocument) not a 7ro>ect management tool
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The =Magic Circle?
#or3 to that
7rogramme until
something occurs
2hich ma3es itim7ossible
E1amine and quanti$y
the e$$ects on
th
Produce a (iable)
2or3ing 7rogramme
2ith $ull reasons$or all re(isions