UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 TALLER 1 LOGISTICA INDUSTRIAL Punto 1
La compa!a "# $a%&' B()# Ca* #' (a p+&,c&pa( "# Ma&,$o, co,')m# .a'o(&,a a ),a $a'a co,'$a,$# "# /0 000 .a(o,#' po+ m#'1 D#*&"o a #'$# &mpo &mpo+$ +$a, a,$# $# co'$ co'$o o (a comp compa a!a !a $&#, $&#,# # ), co, co,#, #,&o &o co, co, Am&c Am&ca* a*(# (# P#$+o(#)m pa+a comp+a+ ),a ca,$&"a" .+a,"# "# .a'o(&,a a p+#c&o "# "#'c)#,$o "# 43150 po+ .a(, ca"a a+&o' m#'#'1 E( co'$o "#( co,#,&o 6)# &,c()# co(oca+ (a .a'o(&,a #, a(mac#,am&#,$o #' "# 2 000 "(a+#' po+ o+"#,1 E( co'$o "# ma,$#,#+ #( &,#,$a+&o "# .a'o(&,a '# #'$&ma #, 4010 po+ .a(, po+ m#'1 λ =10000
galones mes
λ =120000 C =3,50
$ galon
K =2000 h =0,04
galones mes
$ orden
$ galon
a9 Ca(c) Ca(c)(# (# (o' co'$o co'$o' ' a,)a a,)a(#' (#' #, 6)# 6)# '# &,c)++ &,c)++&+! &+!a a '& (a .a'o( .a'o(&,a &,a '# o+"#,a+a ca"a m#'1 S& t =
t =1 mes
Q λ
Q=t ∗ λ
Q=( 1 ) ( 10.000 ) Q=10.000
Ca,$&"a" po+ ), m#'
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 kλ hQ G ( Q )= + cλ + Q 2
G ( Q )=2.000 + 420.000 + 2.400 G ( Q )=$ 424.40 0
*9 G#,#+# ),a $a*(a 6)# m)#'$+# como cam*&a+!a, #'$o' co'$o' '& #( ,:m#+o "# m#'#' #,$+# o+"#,#' cam*&a+a a (o' '&.)&#,$#' a(o+#'; / 2 3< /01 K
2000
λ C h
/20000 035 08
Q
(K*λ)/Q
Cλ
(h*Q)/2
G(Q)
10000 20000 30000 40000 50000 60000 70000 80000 0000 100000 120000
21000 /21000 81000 =1000 1800 1000 312> 31000 21==7 2100 21000
21000 21000 21000 21000 21000 21000 21000 21000 21000 21000 21000
2100 1800 71200 >1=00 /21000 /100 /=1800 />1200 2/1=00 21000 281800
=8100 581800 571200 571=00 581800 =0100 =2122> =1200 ==12=7 =8100 721800
c9 Ca(c)(# (a ca,$&"a" p$&ma po+ o+"#,a+ (o' co'$o' a'oc&a"o'1 Q=
√
2 Kλ
h
=
√
2 ( 2.000 )( 120.000 ) 0.48
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383
Q=31.622,7
t =
Q 31.622,7 t = λ 120.000
t =0.26
t =3.12 meses
G ( Q )=
kλ hQ + cλ + Q 2
G ( Q )=7.589,48 + 24000 + 7.589,4 8 G ( Q )=¿ 4 3>1/78>3 Punto 2
La A'oc&ac&, "# F(o+&c)($o+#' ?FLORE@OTIC '# "#"&ca a (a com#+c&a(&ac&, #%po+$ac&, "# o+#' "#(p&,&)m1 E( "#pa+$am#,$o com#+c&a( a &"#,$&ca"o 6)# (a "#ma,"a m#,')a( "# "#(p&,&)m #' "# /01000 caa' #' co,'$a,$# ")+a,$# (o' /2 m#'#' "#( ao1 FLORE@OTIC 'a*# 6)# ca"a p#"&"o 6)# +#a(&a $&#,# ), co'$o "# /00 "(a+#'1 E( p+#c&o "# com#+c&a(&ac&, "# ca"a ),a "# (a' caa' #' "# c)a$+o "(a+#'1 A'! m&'mo '# 'a*# 6)# #( p+#c&o "# comp+a #' "# "o' "(a+#' po+ caa1 A"&c&o,a(m#,$# (a $a'a m#,')a( po+ a(mac#,a+ ),a caa "# o+#' #' "# 203751 Co, (a &,Ho+mac&, a,$#+&o+ +#')#(a (o' '&.)&#,$#' (&$#+a(#'; No$a; U$&(&c# a'$a "o' "#c&ma(#' pa+a ')' +#'p)#'$a'1 a9 D#$#+m&,# (a po(!$&ca p$&ma "# p#"&"o 6)# "#*# )$&(&a+ FLORE@OTIC pa+a (a' caa' "# o+#' "#(p&,&)m1 λ =10000
cajas mes
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 cajas año
λ =120000
K =100
C =4
USD pedido
USD comision caja
C =2
USD compra caja
C =6
USD caja
i =2,0375 h1=i ∗C =2,0375 ∗4
h2=i∗C =2,0375 ∗2
h2=i∗C =2,0375 ∗6
√ 2
USD = 0,04075 caja
USD = 0,122 caja
Q=
Q=
USD = 0,0815 caja
√ 2
2. k . ƛ
h
2 ( 100 )( 10.000) 0,12775
cantidad optima
= 4044,74
≅
4045 unidades
*9 I,"&6)# c)( #' #( co'$o a,)a( p+om#"&o "# o+"#,a+ #( co'$o "# ma,$#,#+ &,#,$a+&o '&, $#,#+ #, c)#,$a #( co'$o "# a"6)&'&c&,1 JK) p)#"# co,c()&+ 'o*+# #( po+c#,$a# 6)# +#p+#'#,$a ca"a ),o "# #'$o' co'$o' +#'p#c$o a( co'$o $o$a( "# (a po(!$&ca "# p#"&"o
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 Kλ ( 100 )( 10000 ) USD Costode Perdida = = =297,22 Q 4045 mes
Costode Perdida anual=
Kλ ( 100 )( 120000 ) USD = =2966,63 Q 4045 año
Co'$o "# &,#,$a+&o '&, $#,#+ #, c)#,$a #( co'$o "# a"6)&'&c&,1 hQ 2
=
(0,122)( 4045 ) 2
Q=
√ 2
=242,71∗12 USD= 2912,21
2. k . ƛ
h
=
√ 2
2 ( 100 )( 10.000 ) 0,0815
USD año
= 4953,77
≅
4954 unidades
Co'$o "# p#"&"o K ∗ ƛ ( 100)( 10000 ) USD = =201,86 Q 4954 mes
12 meses 2422,29
USD año
Co'$o "# &,#,$a+&o h∗Q 2
=
( 0,0815)( 4954 ) 2
=201,88
12 meses 2422,51
Co'$o' $o$a(#'; Kλ hQ G ( Q )= + Cλ + Q 2
USD año
USD mes
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 G ( Q )=2422,29 + ( 4 ) (120000 )+ 2422,51
G ( Q )=484844,8 USD
S# co,c()# 6)# #( co'$# "# &,#,$a+&o #( co'$# "# p#"&"o co,Ho+ma, ap+o%&ma"am#,$# #( 010/ / "# (o' co'$o' $o$a(#'1 c9 I,"&6)# c)( #' #( co'$o p+om#"&o a,)a( "# o+"#,a+ a"6)&+&+ ma,$#,#+ &,#,$a+&o JK) po+c#,$a# +#p+#'#,$a ca"a ),o "# #'$o' co'$o' +#'p#c$o a( co'$o $o$a( "# (a po(!$&ca "# p#"&"o JCo,c()a 'o*+# '! "&co' po+c#,$a#' '# ma,$#,"+!a, #, c)a(6)&#+ ca'o 6)# '# ap(&6)# #( mo"#(o EOK S#.:, #( co'$o "# a"6)&'&c&, Co'$o' $o$a(#'; Kλ hQ G ( Q )= + Cλ + Q 2
G ( Q )=2966,63 + ( 6 ) ( 120000 ) + 2912,21
G ( Q )=725878,84 USD
[
costo de inventario ∗100=0,40 costostotales
]
[
costo de pedido ∗100 =0,41 costostotales
]
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383
S# co,c()# 6)# '! '& (o' a(o+#' po+c#,$)a(#' 'o, '&m&(a+#' o &.)a(#' "#*&"o a 6)# "#p#,"#+, "# (a ca,$&"a" p$&ma1
"9 R#a(&c# ), a,(&'&' "# '#,'&*&(&"a"1 Va+!# (a ca,$&"a" a p#"&+ #,$+# 21000 /=1000 ),&"a"#' #, &,$#+a(o' "# /1000 ),&"a"#'1 R#p+#'#,$# ') +#'p)#'$a m#"&a,$# ),a .+ca1 P+#'#,$# #, #( ## Q (a a+&ac&, po+c#,$)a( GK9GEOK9 #, #( ## @Q (a a+&ac&, po+c#,$)a( KEOK1 Co,c()a co, +#'p#c$o a (a .+ca o*$#,&"a1 λ =10000 K =10 0
Preciode Comercialiacion= 4 Preciode Compra=2
i =2,0375 h =4,08
Q =700,57 Costo !ijo=1427,4 1
CostoUnitario=2000 0 Costo de "nventario=1427,4 1
Costos#otales nuales=22854,82
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383
G(Q)/G(EOQ) !S Q/EOQ 21500 21000 /1500 /1000 01500 01000 01000
51000
/01000
/51000
201000
251000
Punto 3
E, #( EOK *'&co ')po,.a 6)# #( +#a*a'$#c&m&#,$o #' ),&Ho+m# #, ().a+ "# &,'$a,$,#o9 a ),a $a'a "# * a+$!c)(o' po+ ),&"a" "# $&#mpo a'$a a(ca,a+ #( $amao "#( (o$# K1 Lo' a+$!c)(o' '# +#$&+a, a ),a $a'a "# a a+$!c)(o' po+ ),&"a" "# $&#mpo #, "o,"# a *1 Lo' +#a*a'$#c&m&#,$o' +#$&+o' "#( &,#,$a+&o 'o, '&m)($,#o'1 Po+ ##mp(o '& K #' =0 * #' 3 a( "!a a #' 2 a( "!a (o c)a( &,"&ca 6)# "&a+&am#,$# ((#.a, 3 ),&"a"#' "#( "!a / a( 20 3/ a( 50 a'! ')c#'&am#,$# m&#,$+a' 6)# (a' ),&"a"#' '# +#$&+a, a ),a $a'a "# 2 "&a+&a' $o"o' (o' "!a'1 E( "&a.+ama "# ,&#( "# &,#,$a+&o co,$+a #( $&#mpo '# m)#'$+a #, (a .)+a1
a9 E,c)#,$+# #( co'$o $o$a( po+ ),&"a" "# $&#mpo #, $+m&,o' "#( co'$o "# p+#pa+ac&, (a ca,$&"a" p+o")c&"a K #( co'$o ),&$a+&o c #( co'$o
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383
"# ma,$#,#+ #( &,#,$a+&o (a $a'a "# co,')mo a (a $a'a "# +#a*a'$#c&m&#,$o *1 a =#asadeConsumo % =#asade &ntrega
Q =6 0 " = " 1 + " 2 " =30 0
" =
# 1∗s # 2∗s
+
2
2
S!; # 1 =
2
s % −a
# 2 =
s −a
2
s s " = + 2 ( %− a ) 2 (−a )
G ( Q )=k + cQ+ h" 2
2
h∗s 1 h ∗s2 G ( Q )=k + cQ+ + 2 ( %− a) 2 (−a)
S! s 1=( % −a )∗t 1 s2= a∗t 2 2
G ( Q )=k + cQ+
h∗( ( %− a )∗t 1) 2 ( % −a )
2
+
h∗(a∗t 2 ) 2 (−a )
UNIVERSIDAD CATOLICA DE COLOMBIA FACULTAD DE INGENIERIA INDUSTRIAL LOGISTICA INDUSTRIAL DIEGO ESTEBAN OSPINA – 538278 CAMILO RICO - 538383 2 2 h ( %− a ) h (−a ) ak G ( Q )= + ac + + Q 2 2
*9 D#$#+m&,# #( $amao "#( (o$# #co,m&co K1 dt −ak h h = + + dQ Q2 2 2 dt −ak = + h =0 dQ Q2
Q=
√
ak h
