UNIVERSIDAD NACIONAL DE TRUJILLO
SOLUCION DE PROBLEMAS PROBLE MAS DEL CAP CAP.. 41: 41 : “Línea !e P"#!$%%&'n( CURSO:
DISEÑO DE SISTEMAS DE PRODUCCION DOCENTE:
VICTOR ALCANTARA ALZA CICLO:
IX ALUMNOS:
JULCA ULLOA ULLOA JESUS ALBERTO ALBERTO ORBEGOSO JARA JULIO RODRIGUEZ PEREZ LUIS MIGUEL ANGELO SALAZAR MUÑOS WILLY
2015
INGENIERIA MECANICA
L)NEAS DE PRODUCCI*N PREGUNTAS DE REPASO 41.1. ¿Qué ! u"# $%"# & '()&u**+,"L# $%"# & '()&u**+," *)"!+! " u"# !(+ & !#*+)"! & (#/#0) )(&"#&#! '#(# u $ '()&u*) '#! & u"# !#*+," # $# !+2u+" 3 " *#&# u/+*#*+," ! (#$+* u"# '#( &$ (#/#0) )#$. •
41.. ¿Cu5$ ! $# &+6("*+# "( u"# $%"# & '()&u**+," & 7)&$) ')( $)! 3 u"# $%"# & '()&u**+," & 7)&$) 7+8)L#! &)! 7)&$)! & $%"#! & '()&u**+," ! u!#" '#(# 9#*( ) 75! +')! & 7)&$)! &$ '()&u*) " $# 7+!7# $%"#. L# &+6("*+# (#&+*# " u u"# $%"# & '()&u**+," ')( $)! " *#&# !#*+," ! *)":2u(# '#(# '()&u*+( $# *#"+&#& &!#&# &$ '(+7( 7)&$); $u2) (*)":2u(#" '#(# $ !+2u+" 7)&$) 3 #!% !u*!+<#7"= 7+"(#! u u"# $%"# & '()&u**+," 7+8# " u"# !#*+," ! (#/#0# u" 7)&$); " )(# !#*+," ! (#/#0# )() 7)&$) &+6(". •
41.>. ¿Cu5$! !)" $#! <"#0#! &$ 7)&$) 7+8) !)/( $ 7)&$) ')( $)! '#(# '()&u*+( &+6("! !+$)! & '()&u*)!+. ++. +++.
S 7+"+7+?#" $)! +7')! 7u()! "( 7)&$)!= 3# u *#&# !#*+," +" $#! 9((#7+"#! "*!#(+#! '#(# '()&u*+( *u#$u+( +') & 7)&$). S <+#" #$)! +"<"#(+)! & #$2u")! 7)&$)! *u#"&) 9#3 !*#!? & )()!. L#! <$)*+&#&! & '()&u**+," 3 $#! *#"+&#&! & $)! 7)&$)! #u7"#" 3 &!*+"&" & #*u(&) *)" $)! *#7/+)! & $# &7#"&#.
41.4. ¿Cu5$! !)" #$2u"#! & $#! $+7+#*+)"! " u"# $%"# & 7)&$) 7+8); *)7'#(#&# *)" u" $%"# & 7)&$) ')( $)!+. ++.
L# '()2(#7#*+,"@ E$ *)":2u(#( $#! #(#! # $#! !#*+)"! '#(# u )&#! *)7'#(#" u"# 7+!7# *#(2# & (#/#0) ! 75! *)7'$0). L# $)2%!+*# $$<#( '+?#! *)((*#! # *#&# !#*+," & (#/#0) '#(# $ 7)&$) u !5 " !# !#*+," !)" 75! &+6%*+$! " ! +') & $%"#.
41.. D!*(+/# *,7) ! u!#" $)! 7é)&)! 7#"u#$! '#(# 7)<( '+?#! "( $#! !#*+)"! & (#/#0) " u"# $%"# & '()&u**+,". +. ++.
1
E$ '()&u*) & *#&# !#*+," ! (*)'+$# " u"# *#0# ) u"# *9#()$# & *#(2#; *u#"&) $# *#0# !5 $$"# ! 7u< # $# !+2u+" !#*+,". $#! u"+&#&! & (#/#0) ! 7u<" " 6)(7# +"&+<+&u#$ # $) $#(2) & u"# #/$# '$#"# ) u" (#"!')(#&)( !+" "(2%# ')( 07'$); u" (#"!')(#&)( & ()&+$$)!. Cu#"&) ! (7+"# u"# #(# " *#&# !#*+,"; $ (#/#0#&)( !+7'$7" 7'u0# $# u"+&#& # $# !+2u+" !#*+,".
INGENIERIA MECANICA
41.. D:"# /(<7" $)! (! +')! & !+!7#! 7*#"+?#&)! & (#"!6("*+#! & '+?#! & (#/#0) u ! u!#" " $#! $%"#! & '()&u**+,". •
L)! !+!7#! & (#"!6("*+# *)"+"u# *)"!+!" " u" (#"!')(#&)( u ! 7u< C)"+"u#7" 3 )'(# # u"# <$)*+&#& *)"!#" v c . +. ii.
•
•
Las piezas se fjan al transportador @ 2"(#$7" $ '()&u*)
! 2(#"& 3 '!#&) ')( 07'$); #u)7,<+$! 3 $#<#&)(#!; 3 ") 'u& (7)<(! & $# $%"#. pueden retirarse del transportador: $ '()&u*) ! $) !u:*+"7" 'u) '#(# (7)<(! &$ (#"!')(#&)( 3 6#*+$+#( $ (#/#0) " *#&# !#*+,".
L)! !+!7#! & (#"!6("*+# !+"*(,"+*# $#! u"+&#&! & (#/#0) ! 7u<" !+7u$5"#7" "( $#! !#*+)"! *)" u" 7)<+7+") (5'+&) 3 &+!*)"+"u). L# (#"!6("*+# #!+"*(,"+*# '(7+ u *#&# u"+&#& & (#/#0) !#$2# & $# !#*+," #*u#$ *u#"&) ! (7+"# $ '()*!#7+"). C#&# u"+&#& ! 7u< " 6)(7# +"&'"&+" 3 ") " 6)(7# !+"*(,"+*#.
41.F. ¿P)( ué #$2u"#! <*! ! :0#" #$ ')(#&)( $#! '+?#! " u" !+!7# & (#"!6("*+# *)"+"u# " $ "!#7/$ 7#"u#$•
P)(u '(7+ u"# 7#3)( 8+/+$+&#& # *#&# (#/#0#&)( '#(# "6("#( $)! '()/$7#! é*"+*)! u 'u&# "*)"(#( " u"# u"+&#& & (#/#0) '#(+*u$#(.
41.H. ¿P)( ué &/ !#/$*(! u"# $%"# & '()&u**+," # u"# <$)*+&#& 75! #$# u $# (u(+&# '#(# *u/(+( $# &7#"&# &$ '()&u*)•
P)(u #$ <? $# $%"# ") !é &+!')"+/$ '#(# )&) $ +7') &#&); &/+&) # u $)! '()/$7#! & *)":#/+$+&#& '()<)*#" +7') '(&+&)= !)! '()/$7#! +"*$u3" 6#$$#! 7*5"+*#! 3 $é*(+*#!; &!2#! & $#! 9((#7+"#! 3 &!#0u!! &$ 6u"*+)"#7+")= ')( #") ! +"()&u* u" *)"*') & :*+"*+# & $# $%"#; 3 ')( #") !# :*+"*+# #$ !( 7")( u $# u"+&#& $# <$)*+&#& & & $%"# & '()&u**+," (#$ <# "( u !( 7#3)( u $# ,(+*# (u(+&#.
41.. ¿P)( ué ") ! ')!+/$ &(7+"#( $ "7() & (#/#0#&)(! !+7'$7" # '#(+( & $# (#?," TwcKTcE8+!" (#?)"! '(5*+*#! ')( $# u ") 'u&" *#$*u$#(! ')( !# 6,(7u$#@ I.
B#$#"* +7'(6*)@ ! 7u3 &+6%*+$ &+<+&+( $ +7') & *)""+&) &$ (#/#0) " 6)(7# u+#+<# "( )&)! $)! (#/#0#&)(!.! #!+2"#(5 # #$2u")! (#/#0#&)(! u"# *#"+&#& & (#/#0) u (u+( 7")!
INGENIERIA MECANICA
+7') Tc, 3 !) +"*(7"#(# $ "7() )#$ & (#/#0#&)(! (u(+&)!. Pé(&+&# & +7') & (u/+*#*+," @ ! '(&(5 #$2" +7') " *#&# !#*+," &/+&) # $# (u/+*#*+," &$ (#/#0) ) $ (#/#0#&)( ; ')( $) #") ; $# *#"+&#& & +7') &+!')"+/$ " *#&# !#*+," !(5 " (#$+&#& 7")( u Tc 3 !) #7/+é" +"*(7"#(# $ "7() & (#/#0#&)(! " $# $%"#.
II.
41.1. ¿P)( ué $ '()/$7# &$ /#$#"*) " u"# $%"# & (#"!6("*+# #u)7#+?#&# ") ! #" &+6%*+$ *)7) " u"# $%"# & "!#7/$ 7#"u#$N) ! #" &+6%*+$ &/+&) # u $#! #(#! #!+2"#&#! # $#! !#*+)"! #u)7#+?#&#! ')( $) 2"(#$ !)" 75! !"*+$$#! 3 # u $# $%"# *)" 6(*u"*+# *)"+" 7")! !#*+)"!. 41.11. E$ +7') & (u/+*#*+," " u"# $%"# & (#"!6("*+# !+"*(,"+*# ! *)")* ')( u" ")7/( &+6("; ¿*u5$ ! ! ")7/(•
T+7') & (#"!6("*+#.
41.1. ¿P)( ué 2"(#$7" ") !)" *)"<"+"! $#! *$&#! & "!#7/$ & !#*+," "+*# '#(# (#/#0)! & #$# '()&u**+,"•
P)(u u" !)$) ()/) +"&u!(+#$ ") 'u& (#/#0#( #" (5'+&) *)7) u"# !(+ & !#*+)"! #u)75+*#! !'*+#$+?#&#!.
41.1>. ¿Cu5$! !)" #$2u"#! & $#! (#?)"! u '()<)*#" $ +7') 7u() " u"# $%"# & (#"!6("*+# & 7#u+"#&)•
E" 2"(#$ ! #!)*+# *)" 6#$$#! " $#! !#*+)"! +"&+<+&u#$!; " !#! ! "*u"(#" $)! *#7/+)! & 9((#7+"#! '()2(#7#&)! 3 ") '()2(#7#&)!; $#! #<(%#! 7*5"+*#! 3 $é*(+*#!; $#! 6#$$#! 9+&(5u$+*#! 3 $ &!2#! ")(7#$ &$ u+').
CUESTIONARIO DE OPCION MULTIPLE 41.>. ¿M&+#" *u5$ & $#! !+2u+"! )'*+)"! ! &!*(+/" 70)( $#! (!(+**+)"! & '(*&"*+#-@ # !*u"*+# & $#"?#7+") " u"# $%"# & 7)&$) 7+8); / <#$)( $%7+ " $# !u7# & +7')! & $7") u 'u& #!+2"#(! # u" (#/#0#&)( ) !#*+,"; * )(&" & $#! !#*+)"! & (#/#0) # $) $#(2) & $# $%"# ) & !*u"*+# " $# *u#$ &/" 9#*(! $)! $7")! & (#/#0). RESPUESTA@ & !*u"*+# " $# *u#$ &/" 9#*(! $)! $7")! & (#/#0). 41.4. ¿Cu5$ & $#! !+2u+"! 6(#!! ! 75! #'()'+#&# '#(# &!*(+/+( $#! *#(#*(%!+*#! & $#! #(#! u ! (#$+?#" " $#! !#*+)"! & (#/#0) #u)7#+?#&#!- (! 70)(! (!'u!#!@ # *)7'$0#!; / *)"!+!" " $7")! & (#/#0) 7$+'$!; * +7'$+*#" u" $7") & (#/#0) "+*); &
>
INGENIERIA MECANICA
+7'$+*#" 7)<+7+")! " $%"# (*#; (u+( *#'#*+&#& !"!)(+#$ 3 6 !+7'$. RESPUESTA@ / *)"!+!" " $7")! & (#/#0) 7$+'$!. & +7'$+*#" 7)<+7+")! " $%"# (*#. 6 (u+( *#'#*+&#& !"!)(+#$.
PROBLEMAS: LINEAS DE ENSAMBLE MANUAL 41.1. S '("& &+!#( u"# $%"# & "!#7/$ 7#"u#$ '#(# u" '()&u*) *)" u"# &7#"&# #"u#$ & 1 u"+&#&!. L# $%"# 6u"*+)"#(5 !7#"#!K#); u(")!K!7#"# 3 F. 9)(#K u("). L#! u"+&#&! & (#/#0) ! *)"*#(5" # u" (#"!')(#&)( & 7)<+7+") *)"+"u). E$ +7') & *)""+&) & (#/#0) ! & 4. 7+". Su')"2# u"# :*+"*+# & $%"# & .F; u"# :*+"*+# & /#$#"*) & . 3 u" +7') & (u/+*#*+," & !. D(7+" # $# <$)*+&#& & '()&u**+," ')( 9)(# '#(# *u7'$+( $# &7#"&#; / $ "7() & (#/#0#&)(! (u(+&)! 3 * $ "7() & !#*+)"! & (#/#0) (u(+&#!; !+ $ "+<$ & &)#*+," ! & 1.4. DATOS •
Da=10000 unid
•
S w =5 [turn / sem ]
•
H sh=7.5 [ hor / turn ]
•
T wc=42 min
•
E= 97
•
Eb =92
•
T r = 6 seg =0.1 min
•
M =1.4
SOLUCION # 9#$$#7)! $# <$)*+&#& & '()&u**+," R p=
Da 50. S W . H sh
Lu2) (7'$#?#7)! $)! &#)!@ R p=
100000 50. ( 5 ) . ( 7,5)
R p=53.3333 [ uni / hor ]
4
INGENIERIA MECANICA
/ #$$#7)! $ "7() & (#/#0#&)(! (u(+&)! @ S#/7)! u@ w = Entero minimo ≥
T wc Eb . T s
P()@ T c = E
60
R p
=
( 0.97 ) 60 53.3333
=1.0913 min
T s=T c −T r=1.0913 −0.1=0.9913
Lu2) (7'$#?#7)! &#)!@ w = Entero minimo ≥
42
( 0,92 ) . ( 0,9913 )
=
46.0528
w =47 trabajadores
* #$$#7)! $ "7() & !#*+)"! & (#/#0) (u(+&)@ M =
n=
w w ⇒ n= n M
47 1.4
=33.57 ≊ 34
n =34 estaciones detrabajo
41.. U"# $%"# & "!#7/$ 7#"u#$ '()&u* u" 'u) #'#(#) $é*(+*) *u3) +7') & *)""+&) & (#/#0) ! & . 7+". L# <$)*+&#& & '()&u**+," &!#&# ! & u"+&#&!K 9)(#. E$ +7') & (u/+*#*+," ! & !; $# :*+"*+# & $%"# & ; 3 $# :*+"*+# & /#$#"*) ! >. ¿Cu5")! (#/#0#&)(! 9#3 " $# $%"#DATOS •
•
T wc=25.9 min
E= 95
•
Eb =93
•
T r = 6 seg =0.1 min
•
R p=50 [unid / hor ]
INGENIERIA MECANICA
SOLUCION # T c = E
60
R p
=
( 0.95 ) 60 50
=1.14 min
T s=T c −T r=1.14 −0.1 =1.04
w = Entero minimo ≥
25.9
( 0,93 ) . (1.04 )
=
26.7783
w =27 trabajadores
41.>. U"# $%"# & "!#7/$ 7#"u#$ & 7)&$) "+*) '()&u* u" #(%*u$) *u3) +7') & *)""+&) & (#/#0) ! & 4F.H 7+". L# $%"# +" 4 !#*+)"! & (#/#0) *)" u" "+<$ & &)#*+," & 1.. E$ +7') ')( u(") &+!')"+/$ #$ &%# ! & H 9)(#!; '() $ +7') 7u() &u(#" $ *#7/+) (&u* $ +7') & '()&u**+," (#$ # F. 9)(#! " '()7&+). E!) &# ')( (!u$#&) u"# '()&u**+," &+#(+# '()7&+) & u"+&#&!K&%#. E$ +7') & (u/+*#*+," ')( (#/#0#&)( ! & H &$ +7') & *+*$). D(7+" # $# :*+"*+# & $%"#; / $# :*+"*+# & /#$#"*) 3 * $ +7') & (u/+*#*+,". DATOS •
•
•
T wc=47.8 min n =24
M =1.25
horas turno
•
H sh=8
•
H sh ,rea=7.6
•
Da=256
•
T r =0.08 T c
horas turno
unidades d!as unidades ∗360 = 92160 1 a"o d!a a"o
SOLUCION # #$$#7)! $# :*+"*+# & $%"# E@ E=
7.6 8
=0.95
/ $# :*+"*+# & /#$#"*)
INGENIERIA MECANICA
Rc =
256 7.6
T c = E
=33.68
60
R c
=
uni h
0.95∗60 33.68
=1.69 min
T s=T c −T r=1.69 −( 0.08∗1.69 ) =1.55 min
T"7)! u@ w M = entonces : w = M ∗n =24∗1.25=32 trabajadores n
+"#$7"@ Eb =
T wc w∗T s
=
47.8
∗
32 1.55
= 0.96
* $ +7') & (u/+*#*+," T r =0.08 T c =0.08 ∗1.69=0.135 min
41.4. U"# '$#"# & "!#7/$ :"#$ '#(# *+() 7)&$) & #u)7,<+$ <# # "( u"# *#'#*+&#& & 4 u"+&#&! #$ #). L# '$#"# )'(#(5 !7#"#!K#); u(")!K&%#; &%#!K!7#"# 3 H. 9)(#!Ku("). S &+<+&+(5 " (! &'#(#7")!@ 1 !**+," & *#(()*(%#; !**+," & '+"u(# 3 > &'#(#7") & #*)"&+*+)"#7+") :"#$ &$ *9#!+!. L# !**+," & *#(()*(%# !u$&# $)! *9#!+!! u!#"&) ()/)! 3 $# !**+," & '+"u(# (*u/( $#! *#(()*(%#!. E!)! &)! &'#(#7")! !5" #$#7" #u)7#+?#&)!. E$ & #*)"&+*+)"#7+") & *9#!+! ") !5 #u)7#+?#&). E" ! &'#(#7") 9#3 1. 9)(#! & *)""+&) & 7#") & )/(# &+(*# " *#&# #u)7,<+$; &)"& $)! <9%*u$)! ! 7u<" 7&+#" u" (#"!')(#&)( *)"+"u). D(7+" # $# <$)*+&#& & '()&u**+," ')( 9)(# & $# '$#"#; 3 / $ "7() & (#/#0#&)(! 3 !#*+)"! & (#/#0) (u(+&)! " $ #*#/#&) :"#$ & *9#!+! !+ ") ! u!#" !#*+)"! #u)7#+?#&#!. E$ "+<$ & &)#*+," & 7#") & )/(# '()7&+) ! & .; $# :*+"*+# &$ /#$#"*) ! & >; $# '()')(*+," & +7') & 6u"*+)"#7+") & 3 ! '(7+ u" +7') & (u/+*#*+," & .1 7+" '#(# *#&# (#/#0#&)(. DATOS
F
•
Da=240 000
•
s w =5
•
H sh =16
•
T wc=15.5 h
uni a"o
d!as semana horas d!a
INGENIERIA MECANICA
•
Eb =0.93
•
T r =0.15 min E= 0.95
•
M =2.5
•
SOLUCIN # L# <$)*+&#& & '()&u**+," & $# '$#"# R p=
Da 50∗S w∗ H sh
=
240000 50∗5∗16
=60 uni h
/ "7() & (#/#0#&)(! T c = E
60
R p
=
0.95∗60 60
=0.95 min
T s=T c −T r=0.95 −0.15= 0.80 min Eb∗¿ T = s
15.5∗ 60 0.93∗ 0.8
=1250 trabajadores
w =ma#orm!nimo≥
T wc
¿
41.. S <# # "!#7/$#( u" '()&u*) *u3) +7') )#$ & *)""+&) & (#/#0) ! & 7+" " u" $%"# & '()&u**+," 7#"u#$. L# <$)*+&#& & '()&u**+," (u(+&# ! & > u"+&#&!K9)(#. D 8'(+"*+#! #"(+)(! *)" '()&u*)! !+7+$#(!; ! !+7# u $ "+<$ & &)#*+," & '(!)"#$ ! #*(*#(5 # 1.. Su')"2# u $# '()')(*+," & +7') " 6u"*+)"#7+") 3 $# :*+"*+# &$ /#$#"*) & $# $%"# !)" #7/#! & 1.. S+ ! '(&+(#" ! &$ +7') & *+*$) '#(# (u/+*#*+,"; &(7+" # $ +7') & *+*$); ¿/ *u5")! (#/#0#&)(! 3 * !#*+)"! ! "*!+#(5" " $# $%"#DATOS •
M =1
•
Eb = 1
•
T wc=50 min
•
R p=30
•
T r =9 s
•
E =1
SOLUCIN H
uni h
INGENIERIA MECANICA
# *#$*u$#7)! $ +7') &$ *+*$) como E=1 T c =T p entonces : 60
60
T c =T p = = =2 min R p 30
/ "7() & (#/#0#&)(! T s=T c −T r=2 −0.15 =1.85 min Eb∗¿ T = s
50 1∗1.85
=27.027
≅
28 trabajadores
w= ma#or m!nimo≥
T wc
¿
41.. U"# $%"# & "!#7/$ 7#"u#$ +" 1F !#*+)"! & (#/#0) *)" u" )'(#&)( ')( !#*+,". E$ +7') & *)""+&) & (#/#0) '#(# "!#7/$#( $ '()&u*) ! & . 7+". L# <$)*+&#& & '()&u**+," & $# $%"# ! & > u"+&#&!K9)(#. S u!# u" !+!7# & (#"!6("*+# !+"*(,"+*# '#(# #<#"?#( $)! '()&u*)! & u"# !#*+," # $# !+2u+" 3 $ +7') & (#"!6("*+# ! & !. L)! (#/#0#&)(! '(7#"*" !"#&)! # $) $#(2) & $# $%"#. L# '()')(*+," & +7') " 6u"*+)"#7+") ! & .. D(7+" $# :*+"*+# &$ /#$#"*). DATOS •
•
w =17 trabajadores
n =24 estaciones
•
T wc=22.2 min
•
R p=36
•
T r =6 s
•
uni h
E= 0.90
SOLUCIN Eb =
T c =
T wc w∗T s 60∗ E
R p
$ pero : T s=T c −T r
=
60∗0.9 36
=1.5 min $ entonces :
T s=1.5 −0.1=1.4 min
INGENIERIA MECANICA
Eb =
T wc w∗T s
=
22.2 24∗1.4
= 0.66
41.F. U"# $%"# & '()&u**+," *)" *u#() !#*+)"! & (#/#0) #u)7#+?#&#! $#! )(#! !)" 7#"u#$! '()&u* *+() #(%*u$) *u3) +7') & *)""+&) & (#/#0) &$ "!#7/$ )#$ ! & . 7+" & 7#") & )/(# 7#"u#$ &+(*#. L# <$)*+&#& & '()&u**+," (u(+&# ! & 4 u"+&#&! ')( 9)(#. D/+&) # $#! !#*+)"! #u)7#+?#&#!; $# $%"# +" u"# :*+"*+# & +7') & 6u"*+)"#7+") & H. C#&# u"# & $#! !#*+)"! 7#"u#$! +" u" (#/#0#&)(. S !#/ u ! '+(& $ 1 &$ +7') & *+*$) &/+&) # $# (u/+*#*+,". S+ $# :*+"*+# & /#$#"*) ! & . " $#! !#*+)"! 7#"u#$!; "*u"( # $ +7') & *+*$); / $ "7() & (#/#0#&)(! 3 * $#! !#*+)"! & (#/#0) " $# $%"#= & ¿Cu5$ ! $ "+<$ & &)#*+," & '(!)"#$ '()7&+) " $# $%"#; &)"& $ '()7&+) +"*$u3 $#! !#*+)"! #u)75+*#!S)$u*+,"@ D#)!@ T wc=55 min
R % =45 un / hora E= 89
Eb =92 T r = 0.1 T c
a+ T c =
60 E
R %
=
60 ( 0.89 ) 45
=1.1867 min
,+ T s= T c −T r=T c − 0.1 T c = 0.9 T c =0.9 ( 1.1867 ) = 1.068 min
%+ N7() & T(#/#0#&)(! ')( !#*+,"@ W =
T wc E b T s
=
55 0.92 & 1.068
=55.97=56 E!#*+)"! & (#/#0) 7#"u#$
E!#*+)"! & (#/#0) #u)7#+?#&#! 4 P)( $) #")@ n = 56 + 4 =60
1
INGENIERIA MECANICA
!+ N+<$ & D)#*+,"@ M =
56 60
=0.933
41.H. L# <$)*+&#& & '()&u**+," '#(# *+() '()&u*) "!#7/$#&) ! & 4F. u"+&#&!K9)(#. E$ +7') )#$ & *)""+&) & (#/#0) & "!#7/$ ! & > 7+" & 7#") & )/(# 7#"u#$ &+(*#. L# $%"# )'(# #$ & +7') & 6u"*+)"#7+"). D+? !#*+)"! & (#/#0) +"" &)! (#/#0#&)(! " $#&)! )'u!)! & $# $%"#; & 7)&) u ! (#/#0#" #7/)! $#&)! &$ '()&u*) " 6)(7# !+7u$5"#. L#! !#*+)"! (!#"! +"" u" (#/#0#&)(. E$ +7') & (u/+*#*+," u '+(& *#&# (#/#0#&)( ! & . 7+"K*+*$). S !#/ u $ "7() & (#/#0#&)(! " $# $%"# ! &)! 75! u $ "7() (u(+&) '#(# u" /#$#"*) '(6*). D(7+" # $ "7() & (#/#0#&)(!; / $ "7() & !#*+)"! & (#/#0); * $# :*+"*+# &$ /#$#"*) 3 & $ "+<$ & #!+2"#*+," & '(!)"#$ '()7&+). S)$u*+,"@ D#)!@ T wc=32 min R % =47.5 un / hora E= 95
W = 2+ W ( Eb =1) T r = 0.2 min En 10 estaciones , ha# 2 trabajadores por estaci'n.
C#$*u$#7)! $ +7') & *+*$) 3 $ +7') & !(<+*+). T c =
60 E
R %
=
60 ( 0.95 ) 47.5
=1.2 min
T s=T c −T r=1.2− 0.2=1.0 min
a+ N7() & T(#/#0#&)(! '#(# u" /#$#"* '(6*) E/1@ T wc = 32 =32 W ( E b=1 )= E b T s 1.0 & 1.0
E")"*! $ "7() & T(#/#0#&)(! !@ W = 2+ W ( Eb =1)
11
INGENIERIA MECANICA
W = 2+ 32=34
,+ E$ "7() & !#*+)"!@ (#/#0#&)(! 1 !#*+)"! 14 (#/#0#&)(! 14 !#*+)"! n = 10 + 14 =24
%+ L# :*+"*+# & B#$#"*)@ Eb =
T wc W T s
=
32 34 & 1.0
=0.941 =94.1
!+ N+<$ & D)#*+,"@ M =
34 24
=1.417
41.. E$ *)""+&) & (#/#0) )#$ '#(# u" '()&u*) "!#7/$#&) " u"# $%"# & '()&u**+," 7#"u#$ ! & 4H 7+". E$ 7)<+7+") &$ (#/#0) ! *)"!+2u u!#"&) u" (#"!')(#&)( *)"+"u) u )'(# # u"# <$)*+&#& & > 6K7+". #3 4 !#*+)"! & (#/#0) " $# $%"#; u" (*+) & $#! *u#$! +"" &)! (#/#0#&)(!= *#&# u"# & $#! !#*+)"! (!#"! +" u" (#/#0#&)(. E$ +7') & (u/+*#*+," ')( (#/#0#&)( ! & ! 3 $# :*+"*+# & +7') " 6u"*+)"#7+") & $# $%"# ! & . # ¿Cu5$ ! $# 758+7# <$)*+&#& & '()&u**+," ')( 9)(# ')!+/$ !+ ! !u')" u $# $%"# !5 '(6*#7" u+$+/(#&#- / S+ $# <$)*+&#& & '()&u**+," (#$ ! & !,$) & $# <$)*+&#& 758+7# ')!+/$ &(7+"#&# " $ +"*+!) #; ¿*u5$ ! $# :*+"*+# &$ /#$#"*) & $# $%"#S)$u*+,"@ D#)!@ T wc=48 min E= 95
T r =9 seg n = 24 En 8 estaciones,ha# 2 trabajadores por estaci'n.
A!u7+"&) '#(# u" Eb =1 ; *#$*u$#7)! $# <$)*+&#& & '()&u**+,"@ N7() & T(#/#0#&)(!@ H !#*+)"! 1 (#/#0#&)(! 1 !#*+)"! 1 (#/#0#&)(!
1
INGENIERIA MECANICA
W = 16 + 16= 32
E$ +7') & !(<+*+)@ Eb T s=
T wc W Eb
=
48 32
=1.5 min
E$ +7') & *+*$)@ T c =T s+ T r =1.5−0.15 = 1.65 min
E$ +7') & '()&u**+,"@ T c 1.65 T p = = =1.737 min E 0.95
a+ P)( #") $# <$)*+&#& & '()&u**+," !(5@ R % =
60
T %
=
60 1.737
= 34.55 un /hora
,+ R % =0.92 ( 34.55 )=32.78 un / hora
T c =
60 E
R %
=
(
60 0.95 31.78
)
=1.7935 min
T s=T c −T r=1.7935 −0.15 =1.6435 min
Eb =
T wc W T s
=
48 32 ( 1.6435 )
=0.9127
LINEAS DE PRODUCCION AUTOMATI-ADAS 41.1. U"# $%"# & (#"!6("*+# #u)7#+?#&# +" !#*+)"! 3 )'(# *)" u" +7') & *+*$) +&#$ & 1. 7+". L# '()/#/+$+&#& & 6#$$# ')( !#*+," ! & .H 3 $ +7') 7u() '()7&+) *u#"&) )*u(( u" &!'(6*) ! & 1. 7+". D(7+" # $# <$)*+&#& & '()&u**+," '()7&+) 3 / $# :*+"*+# & $%"#. S)$u*+,"@ D#)!@ T c =1.5 min n = 20
1>
INGENIERIA MECANICA
p=0.008
T d=10.0 min
a+ R % =
60
T c + p .n . T d
=
60 1.5 +(0.008 )( 20 )( 10 )
=19.35 un / hora
,+ E=
T c T %
=
1.5 3.1
=0.484
41.11. U"# 7!# & *#(5u$# +"&+?#&)(# +" !+! !#*+)"!. S u!# u"# !#*+," '#(# *#(2#( 3 &!*#(2#(; $) *u#$ ! (#$+?#&) ')( u" (#/#0#&)(. L#! )(#! *+"*) 0*u#" )'(#*+)"! & '()*!#7+"). E$ '()*!) 75! $#(2) (u+( ! 3 $ +7') & +"&+?#*+," ! & !. C#&# !#*+," +" u"# 6(*u"*+# & 6#$$# & .1. Cu#"&) )*u(( u"# 6#$$#; ! (u+( u" '()7&+) & >. 7+" '#(# 9#*( ('#(#*+)"! 3 (+"+*+#(. D(7+" # $# <$)*+&#& & '()&u**+," ')( 9)(# 3 / $# :*+"*+# & $# $%"#. S)$u*+,"@ n =6 T s=25 s T indi(acion =5 s %cadaestacion=0.015
T d=3 min =180 s
C)7) !,$) !#*+)"! 0*u#" !#*+)"! & '()*!#7+") & $#! #&75! ! #!u7 u $# '(+7(# !#*+," u $) (#$+?# u" (#/#0#&)( +" 6(*u"*+# & 6#$$# a+ ) por inea= n% =( 1 ) ( 0 ) + ( 5 ) ( 0.015 ) = 0.075 T c =T r + ma& ( T si ) =5 + 25 =30 s =0.5 min ) p =T c + ) T d =30 + 0.075 ( 180 )= 43.5 s =0.725 min R p=
60
T p
=
60 0.725
= 82.759 unidades / hora
,+ ) p =
14
T c T c + ) T d
=
0.5 0.5 + ( 0.075 ) ( 3 )
=68.97
INGENIERIA MECANICA
41.1. S 9# )/!(<#&) u"# $%"# & (#"!6("*+# & !+ !#*+)"! &u(#" u" '(+)&) & 4 9)(#!. L)! +7')! & '()*!#7+") " *#&# !#*+," !)" $)! !+2u+"!@ E!#*+," 1; .H 7+"= !#*+," ; 1.1 7+"= !#*+," >; 1.1 7+"= !#*+," 4; . 7+"= !#*+," ; 1. 7+"= !#*+," ; . 7+" 3 !#*+," F; .H 7+". E$ +7') & (#"!6("*+# "( !#*+)"! ! & !. E$ "7() & )*u(("*+#! & &"*+)"! ! & 11; 3 $#! 9)(#! & +7') 7u() & 14.. D(7+" # $ "7() & '+?#! '()&u*+&#! &u(#" $# !7#"#; / $# <$)*+&#& & '()&u**+," (#$ '()7&+) " '+?#!K9)(# 3 * $# :*+"*+# & $%"#= & S+ ! *#$*u$#(# $# :*+"*+# &$ /#$#"*) '#(# !# $%"#; ¿*u5$ !(%# !u <#$)(S)$u*+,"@ n =7
T+7')! & '()*!#7+")!@ E!#*+," E!#*+," E!#*+," E!#*+," E!#*+," E!#*+," E!#*+," 1 > 4 F .H 7+" 1.1 7+" 1.1 7+" . 7+" 1. 7+" . 7+" .H 7+" T r =6 s ) =110
T d=14.5 horas
a+ T c =T r + ma& ( T si ) = Rc =
60
=
T c
60 1.25
6 60
+ 1.15 =1.25 min
=48 unidades / hora
E" u"# !7#"# $#! 9)(#! & )'(#*+," !@ 414.. 9)(#!; ! &*+( ! ! $ +7') +$ '#(# '()&u*+( $)! '()&u*)! !+" u 9#3# $)! +7')! 7u()!. 48
unidades horas unidades =1224 .25.5 1 semana hora semana
,+ T p =T c + )T d=1.25 +
R p=
1
60
T p
=
60 2.024
14.5 horas 1 semana 60 minutos
semana
=29.64 pie(as hora
.
40 horas
.
1 hora
=2.024 min.
INGENIERIA MECANICA
%+ E=
T c T p
=
T c T c + )T d
=
1.25 2.024
= 61.8
!+ Ed =
T wc w T s
=
0.8+ 1.10 + 1.15 + 0.95 + 1.06 + 0.92+ 0.8 7 (1.15 )
=84.2
41.1>. U"# $%"# & (#"!6("*+# & 1 !#*+)"! ! &+!, '#(# )'(#( *)" u"# <$)*+&#& & '()&u**+," +&#$ & '+?#!K 9)(#. S+" 7/#(2); $# $%"# ") *)"!+2u !# <$)*+&#&; 'u!) u $# :*+"*+# & $%"# ! & .. O'(#( $# $%"# *u!# F &,$#(!K9)(#; 8*$u!+<#7" ')( 7#(+#$!. L# $%"# )'(# 4 9K#). S 9# '()'u!) u" !+!7# & 7)"+)() ')( *)7'u#&)(# u *)!#(5 &,$#(! +"!#$#&); 3 (&u*+(5 $ +7') 7u() " $# $%"# " u" . S+ $ <#$)( #2(2#&) ')( u"+&#& '()&u*+&# ! & 4. &,$#(!; ¿! '#2#(5 $ !+!7# & *)7'u#&)(# " $ '(+7( #) & )'(#*+,"- U! $ +"*(7") !'(#&) " $)! +"2(!)! '()&u*+&)! ')( $ !+!7# & *)7'u#&)(#! *)7) $ *(+(+). E" !u! *5$*u$)!; ") )7 " *u"# $)! *)!)! & 7#(+#$!. S)$u*+,"@ D#)!@ n =12
Rc =50
pie(as hora
E= 0.60 *osto de operacion =75
doaresdemateria hora
Tiempodeoperacion =4000
horas a"os
*ostocomputari(ado =25000 doares
vaor agregado = 4
doares unidad
C5$*u$)! !+" $# +7')!+*+," &$ !+!7# *)7'u#(+?#&)@ Rc =
60
T c
T c =
60
Rc
=
60 50
=1.2 min
T c 1.2 =2 min T p = = E 0.6
1
R p=
60
T p
=
60 2
=30
unid hora
INGENIERIA MECANICA
T p =T * + )T d )T d =T p −T * =2−1.2= 0.8 min ( tiempo muerto promedio )
P()&u**+," #"u#$@ 4 R p 4>1 G#"#"*+# #"u#$@ 414H
unid a"o
doares a"o
C)!) #"u#$ & )'(#*+," 4F>
doaresdemateria a"o
Cálculos con la imposición del sistema computarizado:
C)" $ !+!7# & *)7'u#&)(#@ )T d =0.8 −0.25 ( 0.8 )=0.6 min T p =T c + )T d=1.2 + 0.6 =1.8 min R p=
60
T p
=
60 1.8
=33.333
unid hora
P()&u**+," #"u#$@ 4 R p 4>>.>>>1>>>> G#"#"*+# #"u#$@ 41>>>>>>>H
unid a"o
doares a"o
C)!) #"u#$ & )'(#*+," 4F>
doaresdemateria a"o
C5$*u$) & ("#/+$+&#&@ +ngreso= ananciaanuasin sistema comp. −ananciaanua consistemacomp. /
+ngreso= 533 - 328− 480 - 000= 53 328.000> 25 / 000
E! &*+( ! ')&(5 (*u'(#( $# +"<(!+," & $# +7'$#"#*+," & u" !+!7# *)7'u#(+?#&); ')( !( $ *)!) +7'$7"#*+," 7")( # $# 2#"#"*+# ')( &+6("*+# & +"2(!).
41.14. S <# # &+!#( u"# $%"# & (#"!6("*+# #u)7#+?#&#. C)" /#! " 8'(+"*+#! #"(+)(!; $ +7') 7u() '()7&+) ')( )*u(("*+# ! & . 7+" 3 $# '()/#/+$+&#& & u"# 6#$$# " !#*+," u '()&u?*# $# )*u(("*+# & +7') 7u() ' ! & .1. E$ +7') )#$ & *)""+&) & (#/#0) ! & .H 7+" 3 ! <# # &+<+&+( "( $#! !#*+)"! & (#/#0); ')( $) u $ +7') & *+*$) +&#$ '#(# *#&# !#*+," ! & .HK". D(7+" # $ "7() ,'+7) " & !#*+)"! " $# $%"# u 7#8+7+* $# <$)*+&#& &
1F
INGENIERIA MECANICA
'()&u**+," 3 / $# <$)*+&#& & '()&u**+," 3 $# '()')(*+," & +7') " 6u"*+)"#7+") '#(# !u (!'u!# #$ +"*+!) #. S)$u*+,"@ D#)!@ T d=5 min %=0.01
T w =9.8 min T c =
9.8
n
a+ T p =T c + )T d=
9.8
n
+ ( n . % ) T d =
9.8
n
+ ( ( n ) . ( 0.01 ) ) 5=
9.8
n
+ 0.05 n
S+ u(7)! $ <#$)( ,'+7) & "; ")! #')3#7)! & $# &(+<#&# & 0T p 0n 0T p 0n
=0 @ =
0 0n
(
9.8
n
)
+ 0.05 n =
D &)"& )/"7)!@
−9.8 n
2
+ 0.05= 0
n =14 estaciones
,+ T p =T c + )T d=
R p=
E=
1H
60
T p
T c T p
=
=
60 1.4
9.8 14
+ ( 14 ( 0.01)) 5= 1.4 min
=42.857
9.8 / 14 1.4
=50
unidades hora
