Chuong 2- DIS

7/17/2019 Chuong 2- DIS

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HEÄ THOÁNG TOÀN KHO XAÙCÑÒNH

(Deterministic Inventory ystems!

G"# T$ N%&ye'n H)& *$&+c

ÑH ,AÙCH KHOA - ÑH.G T*HC/0123043

7/17/2019 Chuong 2- DIS


NOÄI D5NG He6 t$o7n% c8) 98n $:;n% co7 9<n$

/o= $>n$ ?8@n% 9:t $:;n% Bin$ te7 *$:=n tc$ 9o6 n$:@y mo= $>n$ Ñ8n $:;n% c$8; Gi:m %i:+ 9on% n$:7t Gi:m %i:+ %i: t:Fn% Gi:m %i:+ 9:c ie6t T:Fn% %i:+ ie7t tr8+c

7/17/2019 Chuong 2- DIS


NOÄI D5NG He6 t$o7n% s:n &:7t $:;n% ?o:@t

8@n% s:n &:7t Bin$ te7 /o= $>n$ 98n $:;n% c$:6m .&ye7t 9<n$ m&: ?:;m 8@n% s:n &:7t Bin$ te7 n$ie& s:n J$:m *$8n% J$:+J t$8;i %i:n $e7t $:;n% *$8n% J$:+J t$8;i %i:n $e7t $:;n% Be7t $8@J

He6 t$o7n% B$o:n% 9:t $:;n% co7 9<n$ K$o:n% 9:t $:;n% Bin$ te7 K$o:n% 9:t $:;n% Bin$ te7 n$ie& s:n

J$:m

7/17/2019 Chuong 2- DIS


GILÙI THIEÄ5 /o6t n%&ye=n n$:=n ton B$oM

m&:2s:n &:7t ?o= $:;n% Bin$ te7

(Economic lot size! C$n$ s:+c$ ton B$o to7i & :+c

9<n$ ?o= $:;n% Bin$ te7# T$:m so7 mo= $>n$M

N$& c:& (Demand) C$i J$ (Inventory cost) T$8;i %i:n c$8; (Lead time)

7/17/2019 Chuong 2- DIS


GILÙI THIEÄ5 Gi: 9<n$

T$:m so7 :+c 9<n$ (Deterministic)

N$& c:& 9o6c ?:6J J$:=n o7 9e& ,ie7n ?ie=n t&@c#

C:+c $e6 t$o7n%M He6 t$o7n% v8+i c8) 98n $:;n% co7 9<n$ -

O He6 t$o7n% v8+i B$o:n% 98n $:;n% co7

9<n$ - OI He6 t$o7n% s:n &:7t t$eo ?o:@t - E*.

7/17/2019 Chuong 2- DIS


HEÄ THOÁNG CLP ÑLN HAQNG COÁÑÒNH

(Fixed Order Size Systems! ":7n 9e c&: $e6 t$o7n% ton B$o

Ñ:t $:;n% :o n$ie=&R K$i n:;o 9:t $:;n%R

K$i ?8@n% ton B$o %i:m 9e7n %i:+ tr<:+c 9<n$S $e6 9:t $:;n% v8+i ?8@n%co7 9<n$#

He6 t$o7n% c8) 98n $:;n% co7 9<n$

He6 t$o7n% . (. ystem! C:+c t$:m so7M

Ñiem 9:t $:;n% , 8@n% 9:t $:;n% .

7/17/2019 Chuong 2- DIS


/OU HVNH WLNG ÑAYT HAQNGKINH TEÁ

(Economic Order Quantity - EOQ! Gi: t$ie7t

N$& c:& B$o=n% 9oiS ?ie=n t&@c ie7t tr8+c# T$8;i %i:n c$8; B$o=n% 9oi v:; ie7t tr8+c#

To:;n o6 ?o= $:;n% n$:6J B$o c&;n% ?&+c K$o=n% $e7t $:;n% tron% B$o :n J$:m 98n v:; 9o6c ?:6J C$i J$ co7 9<n$ v:; ie7t tr8+c#

/o= $>n$ c@c tie& Ton% c$i J$ $:;n% n:FmM*M *$ m&: 98n v<

ZM N$& c:& $:;n% n:FmCM *$ 9:t $:;n% 98n v<H [ *M *$ ton tr) 98n v< $:;n% n:FmM T\ ?e6 J$ ton tr) tre=n J$ m&: $:;n% 98n v<

$:;n% n:Fm#

7/17/2019 Chuong 2- DIS



(Economic Order Quantity - EOQ!

t

Inv

,

.. M ?8@n% 98n $:;n%, M 9iem 9:t $:;n% M t$8;i %i:n c$8;

7/17/2019 Chuong 2- DIS



(Economic Order Quantity - EOQ! Ton% c$i J$ ton B$o $:;n% n:FmM J$

m&: $:;n%S J$ 9:t $:;n% v:; J$ ton

tr)#

N

RLB

*HQPR TC*

EOQPF2CR

H2CR Q

0Q

CR

2

H

dQ

dTC

2QCR PR TC

*

2

=

+=

===

⇒

=−=

++= HQ

.

H. 23

C

*Z

.]

CZ 2.

7/17/2019 Chuong 2- DIS



(Economic Order Quantity - EOQ!

" ̂ &@M Z [ _000 9v2nS * [ 40 929vSC [ `0 929$

H [ ̀ 929v#n T [ 3 t&:n

. [ .ZT ( 3]`0]_0002` ! [ a00

TC] [ 40 × _000 b ` × a00 [ _4300 9, [ _000 × 3 2 3 [ `01#1 9v

7/17/2019 Chuong 2- DIS


*HAUN TdCH ÑOÄ NHA /OU HVNH

(EOQ Sensitivity ! An$ $8n% c&: s@ t$:y 9oi 2 s:i so7 ^)

Bie6n v:;o ?e=n n%o) r: mo= $>n$ He6 so7 s:i so7 (Error factors!M

ZS CS HM %i:+ tr< t$@c f ZgS CgS HgM %i:+ tr< 8+c?8@n%

:i so7 EO.

:i so7 C$i J$ T"C

Z2ZXZˆ= C2CXC

ˆ= H2HXHˆ=

1XXX

QQ-Q Q

H

R C*

*

−==∆

( )

Q

2

Q

HR C*

*

2X

1-X1XXX

TVC

TVC-TVC TVC =−==∆

7/17/2019 Chuong 2- DIS


*HAUN TdCH ÑOÄ NHA /OU HVNH

(EOQ Sensitivity ! " ^&@M

XZ [ 4000 2 3000 [ 0# XH [ 40 2 30 [ 0#

XC [ 0 2 3 [ 3

Gi:+ tr< 8+c?8@n%

Gi:+ tr< t$@c

Z (9v! 4000 3000

H (9! 40 30

C (9! 0 3

3h#`j0#3h`j4j0#0#34jXXXkT"C

a4#a0#a4a4j0#

0#3 k.

HZC ⇒=××==

⇒=×

=

7/17/2019 Chuong 2- DIS


ÑLN HAQNG CHLQ

(Bacorderin!! Ñ8n $:;n% c$8;M N$& c:& 98@c 9:+J +n%

tre'# Gi: s M Ñ8n $:;n% tre' 9:+J +n% 8i 98n

$:;n% Be7S m+c ton B$o %i:m l&: 9iem 0

M 8@n% $:;n% c$8; ?8+n n$:7tf K M *$ c$8; 9v# $:;n% n:Fm

t`

t3 t

4

t

I

.R

J t

R

J-Q t

3

2

=

=

7/17/2019 Chuong 2- DIS


ÑLN HAQNG CHLQ

(Bacorderin!! Ton% c$i J$ ton B$o $:;n% n:FmM J$ m&:

$:;n%S J$ 9:t $:;n%S J$ ton tr) v:; J$c$8; $:;n%#

2QKJ

2QJ)-H(Q

QCR PR TC

22

+++= =∂∂=∂∂0JTC/

0QTC/

R J t

J- NRLB

KJPR TC

K)(HKQJ-Q

K)(HHQJ

K

K H

H

2CR Q

*

3ma

*

**

***

**

*

=

=

+=

+=+=

+=⇒

7/17/2019 Chuong 2- DIS


ÑLN HAQNG CHLQ

(Bacorderin!! " ^&@ M Z [ _000 9v2nS * [ 40 929vS C [ `0 929$S

H [ ` 929v#nS [ 3tS K [ 4 929v#n

3!"t #0!0$%&'00000 t'00000*1'000*10TC

2"2-00-%2

2*'000 B

0013

'00*3 J

'001

13

3

'000*30*2 Q

3ma

*

*

*

===+=

==

=+

=

=+

=⇒

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ ÑOÀNG NHAÁT

( "ll - #nits Quantity Discount ! Gi:+ m&: 98n v<

Quantit $rea -%rice#+

P!!!!!!PP

+Q +,P

!!!!!!!!!!!

+Q +,P

+Q +,P

P

10

1

211

100

.

>>>

≤≤

≤≤

≤≤

=

+

7/17/2019 Chuong 2- DIS



( "ll - #nits Quantity Discount ! K$i %i:+ m&: 98n v<

t$:y 9oiS 98;n%

con% c$i J$ ton%B$o=n% ?ie=n t&@c

/o'i %i:+ tr< *i co+mo6t EO. t8n%

+n% c$\ co+ %i:+tr< B$i n:m tron%B$o:n% ?8@n% 9oi%i:+ 5i t8n% +n%

C

.

54 53

GZ2.

*Z

*.23

TC

7/17/2019 Chuong 2- DIS



( "ll - #nits Quantity Discount ! T$&:6t to:+n c@c tie& ton% c$i J$ TC ,:pt 9:& t; *0 S

tn$ c:+c EO. v8+i c:+c %i:+ tr< *i S 9e7n B$i 98@c 4 EO. %i:+ tr< "EO.

Tn$ TC "EO. 5i q "EO.#

C$o@n EO. v8+i TC c@c tie&#

7/17/2019 Chuong 2- DIS



( "ll - #nits Quantity Discount !" ^&@M Z [ _000 9v2nS C [ `0 929$S [0#`

%00EOQ

$31%%2

%00*0!3*"

%00

'000*30 '000*"(%00)TC

'12002

00*0!3*10

00

'000*30 '000*10(00)TC

00

3!0*10

'000*30*2 Q

223!0*"

'000*30*2 Q

%00Q, "

%00Q, 10 P

*

10

*

"

=⇒

=++=

=++=

==

==

≥

<=

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ GIA TANG

(Incremental Quantity Discount ! Gi:+ tr< 98n v<

Gi:+ m&: ?o= $:;n%M /i [ Di b *i .S 5i ≤ . 5i b 4

÷

÷÷

=

+1

211

100

.

+ +,P

!!!!!!!

1-+ +,P

1-+ +,P

P

∑=

=.

1

1-. )P-1)(P-(+

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ GIA TANG

(Incremental Quantity Discount ! C$ J$ ton%

FP

)2R(C Q0

dQ

dTC

2

F

2

FQP

Q

)R (C R P

Q

2

FQ

Q

CR

R Q

TC

.

.*

.

....

..

+=⇒=

+++

+=

++=

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ GIA TANG(Incremental Quantity Discount !

T$&:6t to:+n Tn$ EO.i Tn$ c:+c "EO. Tn$ TCi c&:

c:+c "EO. C$o@n "EO. v8+i TC c@c tie&#

TCa

TC3

TC4 TC

`

54

53

5`

7/17/2019 Chuong 2- DIS



" ̂ &@M Z [ a_00 9vS C [ a0 9S [ 0#3. (9v! *i (9!

a00 40

a00 j 44hh h

4300 j a1hh _#

qa1hh _

7/17/2019 Chuong 2- DIS



i *i (9!

5i (9v!

Di (9!

0 40 4 0

4 h a00 `hh

3 _# 4300 hh_#

` _ a_00 ``h_

%%2$!%$TC ,21EOQ %%2$!%$TC

'"$"!'2

0*0!2%

2

3"2*0!2%*10

3"2

'00*0)(0 '00*10TC

02Q

21Q

3"10!2%*"

3"")(0*'00*2

Q

3"20!2%*10

0)(0*'00*2 Q

2

0

*

3

*

2

*

1

*

0

==⇒=

=+++

+=

=

==

+

=

=+

=

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ ÑAYC ,IEÄT(S&ecial Sale %rices!

Xe+t ?8@n% 9:t $:;n% B$i co+ s@ %i:m %i:+ ^tre=n %i:+ 98n v< t:@i t$8;i 9iem 9:t $:;n%

Tie7t Bie6m B$i 9:t 98n $:;n% 9:c ie6t

Q̂

.]

Q̂ 2Z

t

PF

2CR Q* =

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ ÑAYC ,IEÄT

(S&ecial Sale %rices!

2

*

**

**

**

*&

*

*

***

*

*&

1-Q

Q

P

d)-(PC 4

d-P

PQ

Fd)-(P

dR Q 0

dQ

d4

C-2R

dFQ -dQ-

2R

FQd)-(P -Q)

Q

2C (dTC-TC4

QCQ

R Q-Q PF

2Q

2R FQ d)-(P

2Q )Q-(QPQd)-(PTC

CR

FQ d)-(P

2

Q Qd)-(PTC

2

=⇒+=⇒=

+==

++++=

++=

7/17/2019 Chuong 2- DIS


GIA/ GIAÙ ÑAYC ,IEÄT(S&ecial Sale %rices!

" ^&@M Z [ _000 9v2nS * [ 40 929vS ^ [ 4929vS

C[`0929$ [ 0#`S .] [ a00

1%2%!'%1-00

30$

10

1)-(10*30 4

30$1-10

00*10

0!3*1)-(10

'000*1 Q

2

*

=

=

=+=

7/17/2019 Chuong 2- DIS


TANG GIAÙ ,IEÁT TZWLÙC('non %rices Increase!

PF2CR Q*=

t`t3t4

.]

t

*

aQ

l

lb Q̂t4 M t$8;i 9iem t:Fn%%i:+l [ .(t4!

5)F(P2CR Q*

a +=

7/17/2019 Chuong 2- DIS



=⇒

++=⇒=

++==

+++++=

++++=

1-Q

Q C4

6-

P

5)Q(P

PF

5R Q0

Q̂d

d4

C-2R

PFQ -Q

R

PF6 -

R

5)FQ(P 5TC-TC4

Q

CQ

R

6

PF2

6

R

Q

5)F(P2

Q

Q

ˆ

5)(PTC

CR

6 PF

2

6

R

Q PF

2

Q

R

6 PFQ̂ Q̂PTC

2

*

*

*

*

a*

2

*

a&

*a

*

a

&

7/17/2019 Chuong 2- DIS



" ^&@M Z [ _000 9v2nS * [ 40S C [ `0 929$S [ 0#`

l [ `a 9vf B [ 4 929v

2!31-00

30'304

22

30')-(3-10

3'1*11

0!3*10

'000*1

B)-(6-P

Q5)(P

PF

5R

Qˆ

3'170!3*1)8(10'000*30*2Q

2*

*

a*

*

a

=

=

=

+=

+

+=

=+=

7/17/2019 Chuong 2- DIS


HEÄ THOÁNG AN X5AÁT HAQNGOAT

(Batc *y&e %roduction Systems! :n J$:m 98@c s:n &:7t v:; ton B$o t$eo ?o:@t N$ie& s:n J$:m s:n &:7t tre=n c&;n% t$ie7t < Ho:@c$ 9<n$ s:n &:7tM

X:+c 9<n$ so7 98n v< to7i & tron% mo'i ?o:@t s:n &:7tn$:m c@c tie& ton% c$i J$ $:;n% n:Fm# *$:=n o co=n% s&:7t 9e7n t;n% s:n J$:m t$eo n$&

c:&S s:n ?8@n%S m+c ton B$o $ie6n co+ c&: s:nJ$:m#

C:+c mo= $>n$ 8@n% s:n &:7t Bin$ te7 (E*.! Ñ8n $:;n% c$:6m .&ye7t 9<n$ m&: j ?:;m (/,D - /:Be or ,&y Decisions! N$ie& s:n J$:m (+ulti&le Items! T$8;i %i:n $e7t $:;n% (,unout *ime!

7/17/2019 Chuong 2- DIS


WLNG AN X5AÁT KINH TEÁ(Economic %roduction Quantity -

E%Q! H:;n% n$:6J B$o v8+i to7c 9o6 ?ie=n t&@cS $)& $:@nS B$o=n%

9oi :n &:7t tie=& t$&@ 9on% t$8;iS m+c ton B$o n$o $8n

?8@n% ?o= $:;n% s:n &:7t#

ttJ

J

.

/

J jr

r

t

,

/ [ (J j r!tJ [ (J j r! .2J

7/17/2019 Chuong 2- DIS



E%Q! Z M n$& c:& $:;n% n:Fm (9v2n! * M J$ s:n &:7t 98n v< (929v! . M ?8@n% ?o= $:;n% s:n &:7t (9v! JM to7c 9o6 s:n &:7t (9v2n%! r [ Z2N M to7c 9o6 n$& c:& (9v2n%! C M c$i J$ t$ie7t ?:6J s:n &:7t (92?! H M c$i J$ ton tr) (9 2 9v#n!

N M so7 n%:;y ?:;m vie6c tron% n:Fm (n%2n! M t$8;i %i:n c$8; (n%! tJ M t$8;i %i:n s:n &:7t m M so7 ?:n s:n &:7t tron% n:Fm

7/17/2019 Chuong 2- DIS



E%Q! Ton% c$i J$ ton B$o $:;n% n:FmM J$ s:n

&:7tS J$ t$ie7t ?:6J v:; J$ ton tr)

8@n% s:n &:7t Bin$ te7

29

:)-(9HQ

Q

CR PR TC ++=

:LB

/9Q t

:)/9-(9HQPR TC

:)-H(9

2CR9 Q

029

:)-H(9

Q

CR -

dQ

dTC

**

9

**

*

2

=

=

+=⇒

=⇒

=+=

7/17/2019 Chuong 2- DIS



E%Q! " ^&@M Z [ 30000 9v2n S N [ 30 n%2nS J [ 400 9v2n% [ a n%S

* [ 0 929vS H [ 40 929v#n C [ 30 92?

(d)1!001!2

100

'0)-(100*32*10 20000*%0TC

(d)320*'0B

;/&31!32

20000

Q

R m

32

'0)-(100*10

100*20000*20*2Q

(d/&4) '02%0/20000:

*

*

*

=

+=

==

===

==

==

7/17/2019 Chuong 2- DIS


ÑLN HAQNG CHAÄ/(,acorderin!!

Ñ8n $:;n% c$:6m C$i J$ $)& $:@n

Ñ:+J +n% s:& Ton% c$i J$ :o

%om c: c$i J$98n $:;n% c$:6m B j c$i J$ 98n

$:;n% c$:6m 98nv< $:;n% n:Fm

*

*

**

*

QR m

5)9(H

:)-(9HQ

- N

RL

B

5)9(H

:)-5(9HQ PR TC

5

5 H

:)-H(9

2CR9 Q

=+=

++=

+=

7/17/2019 Chuong 2- DIS


ÑLN HAQNG CHAÄ/(,acorderin!!

" ^&@M Z [ 30000 ̂ v2nS

N [ 30S J [ 400 9v2n%S [ a n% * [ 0 929vS H [ 40 929v#nS C [ 30 92?S B [ 929v#n

d1$

100*%)(10

'0)-(100*10"%*10-

2%0

*20000 B

;/&1'!310"%

20000 m

d10"%%

%10

2%0

20000 -100*10

100*20000*20*2 Q

=

+

=

==

=+

=

7/17/2019 Chuong 2- DIS


.5EÁT ÑÒNH /5A - AQ/(+ae or Buy Decisions - +BD!

T$8;n% %:J B$iM T$ie7t Be7 s:n J$:m m8+i C:i 9oi s:n J$:m c&) Co=n% ty m8+i 9:n% J$:+t trien#

C:+c ye7& to7 :n$ $8n%M co=n%s&:7tS n%&on ?@cS n%&on c&n% +n%S u

/o= $>n$ /,DM D&;n% EO. tn$ .]oS TC]o

D&;n% E*. tn$ .]JS TC]J

o s:+n$ l&ye7t 9<n$

7/17/2019 Chuong 2- DIS


.5EÁT ÑÒNH /5A - AQ/(+ae or Buy Decisions - +BD!

" ^&@M /&: $:;n%M * [ 3 929vS C [ 92? :n &:7tM * [ 3` 929vS J [40000 92nS C [ 0 92? Z [ 300 9v2nS [ 40

<a& =at

d%'1%$10000

2%00)-(10000*3'1*0!1*23

2%00*23

9

:)-(9HQ PR TC

d3'12%00)-(10000*23*0!1

10000*%0*2%00*2 :)-PF(9

2CR9 Q

d2$%0100*2!%2%00*2%HQPR TC

d1000!1*2%

2%00*%*2

PF

2CR Q

**

9

*

9

**

0

*

0

⇒=+=

+=

===

=+=+=

===⇒

WL Á Á

7/17/2019 Chuong 2- DIS


WLNG AN X5AÁT KINH TEÁNHIEÀ5 AN *HA/

(+ulti&le Items E%Q! N$ie& s:n J$:m t&:n t@ s:n &:7t tre=n 4

t$ie7t < ti [ .i 2 Ji i [ 4 ÷ n M t$8;i %i:n s:n &:7t ts M t$8;i %i:n ^

T [ N 2 mM c$& By; s:n &:7t Gi: sM

N$& c:& B$o=n% 9oiS ?ie=n t&@c To7c 9o6 s:n &:7t B$o=n% 9oi# K$o=n% co+ 98n $:;n% c$:6m

C$i J$ t$ie7t ?:6J 9o6c ?:6J tr>n$ t@ s:n &:7t /o'i t$8;i 9iem mo6t s:n J$:m

t4 t3 tn ts t

T

WL Á Á

7/17/2019 Chuong 2- DIS



(+ulti&le Items E%Q! Ton% c$i J$M J$ s:n &:7tS J$ t$ie7t

?:6J v:; J$ ton tr)

∑

∑∑

∑

∑∑∑∑

≥

=

+=

=⇒=

++=

=

=

=

===

&

1..

*

..

&

1

.

*&

1.

..

*

&

1.

.

&

1.

.....*

&

1. .

....&

1..

&

1...

9R N

mR Q

C2mR PTC

C2

9): -(9R H

m0dm

dTC

9

): -(9R H

2m

1

CmR PTC

WL Á Á

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Documents

Chuong 2- DIS