Operations Tutorial for MBA
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Transcript of Operations Tutorial for MBA
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Bare minimum requirements (for thetest)
• +eision Tree A!!roah
• ittle-s la. / A!!liation in ueuing theory
• ritial 'ath Method 'M3 'rogramme&"aluation and *e"ie. Tehniue '&*T3 $Project Management
• Basi Mathematis / Bell ur"e alulations,&5!eted 6alues, inear 'rogramming, &t al#
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ONE SITUATION
A manufacturer of air conditioner compressors in concerned that too muchmoney is tied up in its value chain.
Average raw material and work in process inventory is $ 50 million.
Sales are $20 million per week and finished goods inventory average $30million.
The average outstanding accounts receivale is $ !0 million. "roductiontakes on average# week to produce a compressor and the typical sales flowtime is 2 weeks. Assume 50 weeks in year.
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MOST BASIC !UEUIN"
T#EO$%
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What is the queue size?
What is the capacity utilization?
C u s t o m e r N
u m b e r
Customer
Number
Arrival
Time
Departure
Time
Time in
System
0 10 20 30 4050
Time
1 0 5 5
2 4 10 6
3 8 15 7
4 12 20 85 16 25
6 20 30 10
7 24 35 11
8 28 40 12
32 45 13
10 36 50 14
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is the queue size?
is the capacity utilization?
C u s t o m e r N u m b e r
Customer Arrival Departure Time in
Number Time Time System
1 0 5 5
2 6 11 5
3 12 17 5
4 18 23 5
5 24 2 5
6 30 35 5
7 36 41 5
8 42 47 5
48 53 5
10 54 5 5
0 10 20 30 40 5060
Time
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Time
Number Time Time System
What isWhat is
the queue size?
the capacity
N u m b e r
C u s t o m e r
Customer Arrival !ro"essin# Time in
1 0 7 7
2 10 1 1
3 20 7 7
4 22 2 7
5 32 8 8
6 33 7 14
7 36 4 15
8 43 8 16
52 5 12
10 54 1 11
0 10 20 30 40 50 60 70
$ueue %lu"tuation
4
3
2
1
0
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64Time
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Multi!leser"ers,
single
stage
8o#of ustomers
9eingser"ed
'roess
*ate
:Arri"al
*ate
;
Ser"ers<ueue ength, Lq
8o# of ustomers in thesystem,
Ls
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Se!e utilisationλ
µ λ
ρ = "assu#in$ % & 1'(n the case o) sin$le se!e*
ρ(n the case o) #ultiple se!es*
Waitin$ +i#e usin$ Little,s La-
=S µ
.!ea$e ti#e custo#e spen/s in syste#
LsWs λ
Lq
.!ea$e ti#e custo#e spen/s in queue
Wq λ
λ .!ea$e nu#e o) custo#es in syste#
Ls Lq µ
&erforman'eMetri's
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&$OUCTION &ANNIN"
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Detailed Scheduling
Short range
Shop Floor Control
Medium range Master Production Schedule
Materials Capacity
Requirement Requirement Plan
Plan
Business PlanLong range
Marketing Plan Financial Plan
Aggregate Production Planning
(rough cut capacity)
#ierar'hi'a* approa'h top*anning
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In level strategy, the emphasis is not to disturb the existing
production rate
In chase strategy, no inentory is carried !rom one period toanother" the supply # demand mismatch is addressed during eachperiod $y employing a ariety o! capacity related alternaties
the peio/s a/etostoc
to anothe a/etoo/e an/ poect
"a' Sucontactutsouce
A!! Strate#y A!! alternatives appli"able &ey 'eatures
(evel Strate#y
)nventory base* alternatives
"a' :uil/ (n!entoy
"' :aclo$:aco/eShota$e
(n!entoy as the citical lin et-een
en!ion#ents ;o/ucts -ith lo- iss
o) osolescence
C+ase Strate#y
Capa"ity a*,ustment alternatives
"a' !e +i#e<n/e +i#e
"' =ay no> o) shi)ts
"c' ieLayo)) -oes
@o in!entoy caie/ )o# one peio/
en!ion#ents Se!eal se!icesyste#sCapa"ity au#mentation alternatives
"' Aeottlenec
Aggregate &ro+u'tp*anning
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IN,ENTO$%
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In-entor. Management
Ty!es of in"entories$
• Seasonal$ onsumer dura9les during festi"eseason
• +eou!ling$ Multi stage !roesses% & ' ( ) * + - %.
%
&'
( )
*+
-
%.
Stage / Stage 0 Stage 1
Decoupling Inventory
Production System without any decoupling inventory
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In-entor. Management
ontd#
• yli$ Syringes at hos!itals
• 'i!eline$ ead Time = +emand !er
unit time• Safety Stok$ )edging against
unertainties
/ u a n t i t y
Sa!ety stock
Cyclic Stock
Pipeline inentory
0
1ime
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In-entor. Asso'iate+ Costs an+ EO!
Or+ering Costs
#o*+ingCosts
Or+er !uantit. (!)
COS
T
Tota* Cost
EO!
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EO! 2ormu*ae an+ Short'omings
%ost&oldingAnnual
'utflow(al%ost()AnnuSetupor2)'rder*
&
2S+ *,-
&2
, ,
+S*T%
'ro9lems lie in the assum!tions made$1#+emand is ertain and ontinuous
o"er time2#Instantaneous re!lenishment>#8o order uantity related issues e5ist4#All in"entory soured e5ternally
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The 'on'ept of safet. sto'3
Q
Time t
ROP
/
/
order order order
mean demand during
supply lead time
safety stock
1nventory on hand
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$e*ating to C.'*e Ser-i'e e-e*
ean +emand
over /ead Time
eorder "oint )'"(
.0)desired cycle service level(
eorder "oint * ean +emand over /ead Time Safety Stock
+esired cycle service level
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Continuous $e-ie4 (!) Mo+e*
!
$
(T T)-.
)N/.NT012
!
t1
!
r*er
!la"e*
r*er
e"eive*
r*er
!la"e*
Ima5
Imin
Stochastic Ae#an/ "/'B
Constant Lea/ +i#e "L+'
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&erio+i' $e-ie4 (&) Mo+e*
TI
(T T)-.
)N/.NT012
Tr*er
!la"e*
r*er
e"eive*
r*er
!la"e*
Ima5
Imin
!0
!0
!/
!/
(T
r*er
e"eive*
!1
(T
r*er
e"eive*
!1
r*er
!la"e*
T
Stochastic Ae#an/ "/'B
Constant Lea/ +i#e "L+'
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2ormu*ae
LT z SS
LT SS ROP
H
DS EOQ
r σ
µ
=
+=
=2! S.stem
& S.stem
LT RP z SS
LT RP SS TIL EOQ RP
r +=
++==
σ
µ
µ
()4
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&*ease rea+ up some 6its on
• Bull .hi! e?et in Su!!ly hains
• Mihael )ammer-s !a!er on @Theright su!!ly hain- and @Business'roess *eengineering-
• Single !eriod in"entory orderingrules
D osts assoiated .ith o"erstoking andunder stoking, related !ro9a9ilities
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Than3s7