CARROCERÌAS EL TORO ROJO 3RA ENTREGA
PRESENTADO A:
PRESENTADO POR:
INSTITUCIÓN UNIVERSITARIA POLITECNICO GRAN COLOBIANO FACULTAD DE INGENIERIA INDUSTRIAL AREA INVESTIGACIÒN DE OPERACIONES 2016
Contn!"o INTRODUCCIÓN........................................ ............................................................ ........................................... ....................... 3 OBJETIVOS........................................ ............................................................ .............................................. .......................... .... 4 O#$t!%o Gn&'(........................................ ............................................................ ........................................ .................... .. 4 O#$t!%o E)*+,-!+o) .............................................................................4 ./TODOS DE TRANSPORTE..................................................................5 !)to&!'..................................... ......................................................... ........................................ ..................................... ................. 5 .to"o " (' )!n' no&o)t .................................................................6 .to"o "( +o)to 4,n!4o .......................................................................7 .to"o " '*&o5!4'+!n " %o7( .............................................................8 P&#' " (' O*t!4'(!"'" o S'(to " (' P!"&' ............................................10 .to"o "( T&'n)*o&t So(+!n +on 8!n9SB ;o t#< )=-=> L*?< !n7n!&!'!n")t&!'(on(!n=+o4< !n7n!&!'!n")t&!'(on(!n=+o4< 2012> ......................................................12 ./TODO DE TRANSBORDO ................................................................14 R)o(+!n " n *&o#(4' " t&'n)#o&"o 4"!'nt *&o7&'4'+!n (!n'( ...........15 E)t' ) (' &*&)nt'+!n 7&@-!+' " (' )o(+!n +o +o)to *t!4o ) " 20=00 n!"'") 4ont'&!') ..................................... ......................................................... ........................................ ................................................ ............................ 19
DESARROLLO DE PROBLE.AS PLANTEADOS......................................20 BIBLIOGRAFIA ; 8EBGRAFIA.............................................................23
INTRODUCCIÓN
En (' '+t'(!"'" (' (o7,)t!+' " t&'n)*o&t "!)t&!#+!n *')'&on " )& n @&' 4@) " n' +o4*',' ' )& *'&t) " 7&'n !4*o&t'n+!' " (' 4!)4'< )to *) "nt&o " n' #n' *&o7&'4'+!n " t&'n)*o&t) '), +o4o " (' +'*'+!"'" " (o) '(4'+n) ) n+nt&' (' +('% *'&' ( 'o&&o " t!4*o +o)to) " (' +o4*',' '), +o4o *'&' %!t'& *o)!#() *&"!"') n (o) t&'n)*o&t)= C'# '+('&'& ( +ont&o( " (o) 4!)4o) ) !n"!)*n)'#( ' ) *" tn& 5+(nt) &&'4!nt') *&o )! no ) +ont&o(' ) )o 'n 4@) !4*o&t'nt )! no ) +ono+ #!n ) 4'n$o '&@ n)t&' ('#o& )' o#)o(t' &&n'= A +ont!n'+!n %&4o) ( +')o " (' 4*&)' +'&&o+&,') ( To&o Ro$o "on" '"'&4o) ' &)o(%& n') n+)!"'") 7n&'"') " ) ('#o&=
OBJETIVOS O#$t!%o Gn&'( Int&*&t'& (') -&ont&') " n )!)t4' !"nt!-!+'& (o) "!-&nt) (4nto) (o +on-o&4'n< &'(!?'& '#)t&'++!on) " +'&@+t& 4't4@t!+o " (') &('+!on) 5!)tnt) nt& (o) "!-&nt) (4nto) "( )!)t4' "( )!)t4' +on ( 4"!o n "on" ) n+nt&' #!+'"o=
O#$t!%o E)*+,-!+o) Fo&4('& o*t!4!?'& n *&o#(4' " *&o7&'4'+!n (!n'(= An'(!?'& " 4'n&' '+&t'"' n 4o"(o 4't4@t!+o )) &)(t'"o)= Cono+& +('&'4nt (o) )*)to) (!4!t'+!on) t!nn (') t+n!+') " *&o7&'4'+!n (!n'( *'&' !nt&*&t'& '*&o*!'"'4nt ( '(+'n+ "( )o " )t' &&'4!nt' n (' to4' " "+!)!on)=
./TODOS DE TRANSPORTE To4'"o " UNAD< )=-=>
!)to&!' Lo) 4o"(o) " t&'n)*o&t t!nn ) o&!7n n (' "+'"' " (o) 0)< (o) +'() +o4*&n"n 4+o) )!t!o) " 4#'&) 4+o) *nto) " ")t!no) " n 4!)4o t!*o " *&o"+to= Dnt&o " n *&,o"o "'"o< +'"' -nt " 4#'& -@#&!+'>< t!n +!&t' +'*'+!"'" +'"' *nto " ")t!no #o"7'>< t!n +!&to) &&!4!nto) +on n +o)to "'"o " (o) 4#'&) "( *nto " o&!7n '( ")t!no= L' -n+!n o#$t!%o +on)!)t n &"+!& '( 4,n!4o ( +o)to " t&'n)*o&t )'t!)-'+& (o) &&!4!nto) " (') #o"7') "nt&o " (') (!4!t'+!on) " (' +'*'+!"'" " (') -@#&!+')= S 'n ")'&&o(('"o %'&!o) 4to"o) *'&' &)o(%& n *&o#(4' " t&'n)*o&t< "nt&o " (o) +'()< (o) +o4n) )on: • • • •
.,n!4o) Vo7( P&#' " O*t!4'(!"'" E)!n' No&o)t
L' 4t' " n 4o"(o " t&'n)*o&t ) 4!n!4!?'& ( +o)to tot'( " n n%,o " n *&o"+to ")" (o) *nto) " 5!)tn+!' ')t' (o) *nto) " "4'n"' #'$o (') )!7!nt) +on"!+!on):
L' -n+!n o#$t!%o (') &)t&!++!on) "#n )& (!n'()= L') 4&+'n+,') *'&' "!)t&!#!& "#n )& n!-o&4)= L' )4' " (' +'*'+!"'" " to"o) (o) o&,7n) "#n )& !7'() ' (' +'*'+!"'" " (o) ")t!no)H ) "+!& o-&t' !7'( ' "4'n"'=
I"nt!-!+'+!n " (') &)t&!++!on):
E( 4#'& tot'( " +'"' *('nt' no ) "# 5+"& " ) +'*'+!"'"= E( 4#'& tot'( &+!#!"o *o& +'"' t!n"' '( *o& 4no& "# )'t!)-'+& ) "4'n"'=
.to"o " (' )!n' no&o)t E) no " (o) 4to"o) 4@) -@+!( *'&' "t&4!n'& n' )o(+!n #@)!+' -'+t!#( !n!+!'(= E)t t'4#!n +on)!"&'"o *o& )& ( 4no) *&o#'#( *'&' "'& n' #n' )o(+!n " #'$o +o)to *o& !7no&' (' 4'7n!t" &('t!%' " (o) +o)to)= P')o) *'&' ")'&&o(('& )t 4to"o: 1= S(++!on'& (' +("' " (' )!n' no&o)t )!n' )*&!o& !?!&"'>= 2= '7' ( 4@) 7&'n" n%,o +o4o *"' n (' )!n' " (' +("' " (' )!n' no&o)t< )t' o*&'+!n '7ot'&@ +o4*(t'4nt (' "!)*on!#!(!"'" " )4!n!)t&o) n n o&!7n ' (o) &&!4!nto) " "4'n"' n n ")t!no= A )t *&o+"!4!nto o *')o ) ( (('4' +on -&+n+!' )'t&'&= 3= Co&&!$' (o) n4&o) "( )4!n!)t&o &&!4!nto *'&' &-($'& (o %' "'n"o " )4!n!)t&o %(%' '( *')o no= R7(') *'&' ( ")'&&o((o "( 4to"o )!n' no&o)t:
Lo) n%,o) )on !n"!+'"o&) "nt&o " +'"' +("'= Lo) )4!n!)t&o) &&!4!nto) "'n *"n )& &7!)t&'"o) ' (' "&+' " (o) n4&o) o&!7!n'()= L') -!(') +o&&)*on"!nt) ' (o) o&,7n) *"n )& (!4!n'"') o )'('"')< ")*) " )) &&!4!nto) )tn +o4*(t'4nt ((no)=
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
Co)to Tot'( K 002>M1003>M6001>M200>M10001> Co)to Tot'( K 00M300M600M1000M1000 Co)to Tot'( K 3=00 E) !4*&o#'#( )t *('n -'+t!#( )' t'4#!n ( *('n " n%,o -'+t!#( "( 4,n!4o +o)to< ' !7no&'4o) (' 4'7n!t" &('t!%' " (o) +o)to) n!t'&!o) n +'"' !nt&'++!n=
En 7n&'( *'&' )'#& )! (' )o(+!n ) *t!4' 5!)t n' &7(' (' +'( "!+ 4MnQ1 "# )& !7'( '( n4&o " +')!((') o+*'"') *o& +'nt!"'") n "on" n K ' (') +o(4n') 4 K ' (') -!(')< )t' ) t!(!?'"' *'&' "t&4!n'& )! (' )o(+!n !n!+!'( ) "7n&'"' o no= En ot&') *'('#&') )! tn4o) +o4o ) ( +')o "( $4*(o 'nt&!o& t&) -!(') t&) +o(4n') tn"&4o) n tot'( 6 4no) no "'&@ +')!((') "#n )t'& o+*'"') )! ( n4&o ) )*&!o& ' )t )!7n!-!+' '"4!t *&o+"!4!nto *'&' "!)4!n!& n4&o " +')!((') ')!7n'"')< tn"&4o) +on 4'o& o#(!7'+!n '*(!+'& *&#' " o*t!4'(!"'"< )! *o& ( +ont&'&!o ( n4&o " +')!((') ) !n-&!o& nton+) )t'&4o) 4 +&+' " n+ont&'& ( %'(o& "( +o)to " n%,o *t!4o= E) !4*o&t'nt )t" tn7' n +nt' (' *&#' " o*t!4'(!"'" )!4*& ) "# '*(!+'& )' +'( -& (' (++!n "( 4to"o '*(!+'"o ' n $&+!+!o o *&o#(4' '), ) tn7' (' *&#' " "7n&'4!nto +on 4no& %'(o&< )t' )o(o (o #!+' n n' *o)!+!n " %nt'$' *'&' ntn"& ( *&o+)o )t@ 4 +&+'no '( *t!4o=
.to"o "( +o)to 4,n!4o E( 4to"o " (' +("' "( 4,n!4o +o)to ) )!4!('& '( 4to"o 'nt&!o& "!-&n+!@n"o) )o(o n ( *&!4& *')o: Con)!"& to"') (') +("') )t@n +ontn!"') n (') -!(') o +o(4n') )'('"')= S(++!on (' +("' tn7' ( #'$o +o)to< ) 4*!?' ' )'t&'& +o4o n (o) *')o) 'nt&!o&)= Co4o ) 4n+!on ( *&o+"!4!nto ' )7!& n '"('nt )&@ " (' 4!)4' -o&4' ( " (' E=N< ) "+!& n' %? ')!7n'"' (' +'nt!"'" n (' +')!((' )(++!on'"' +on ( 4no& +o)to ) &!t&'&@ ( *&o+"!4!nto ')t' '7ot'& to"') (') 5!)tn+!') )'t!)-'+& to"') (') n+)!"'") o &&!4!nto)< )!4*& tn!n"o n +nt' ( #'$o +o)to " (' +("'=
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
Co)to Tot'( K 002>M1006>M001>M100>M10001> Co)to Tot'( K 00M600M00M00M1000 Co)to Tot'( K 3=600
.to"o " '*&o5!4'+!n " %o7( E)t 4to"o ) +on)!"&'"o ( 4@) +&+'no ' n' )o(+!n *t!4' *'&' %'('& n' )o(+!n -'+t!#( " #'$o +o)to= P&o+"!4!nto: • •
•
• •
S &)t'n (o) "o) %'(o&) 4,n!4o) " +'"' +o(4n' !7'(4nt n (') -!(')= S to4' +o4o *nto " *'&t!"' ( %'(o& 4,n!4o " (' +o(4n' o -!(' n "on" ) n+nt&' #!+'"o ( 4'o& %'(o& o#tn!"o n (' &)t' !n!+!'( 4'o& "!-&n+!'>= S &*!t (o) *')o) 'nt&!o&) +on (') -!(') +o(4n') 'n "'n )!n )'t&'& ')t' ) ')!7nn to"') (') +'nt!"'") &&!"') *'&' )'t!)-'+& (' "4'n"' " '+&"o ' (' o-&t' "'"'= S "t&4!n' ( +o)to ) %&!-!+' (' t'#(' no )' "7n&'"'= S '*(!+' (' t+n!+' "( )'(to " (' *!"&' *'&' #)+'& (' )o(+!n *t!4' n +')o " *o"& '+&(o=
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
CTK 00 2 M 100 6 M 00 1 M 100 M 1000 1 K 3600 . M n 1 K (o +o&&)*on" '( 4!)4o n4&o " +')!((') o+*'"')= E)t'4o) (!)to) *'&' '*(!+'& (' *&#' " o*t!4'(!"'"=
P&#' " (' O*t!4'(!"'" o S'(to " (' P!"&' P'&' )'#& t'n -'+t!#() )on to"o) (o) 4to"o) 'nt&!o&) ) ' ")'&&o(('"o (' *&#' " o*t!4'(!"'" "t&4!n' )! ( 4to"o ) ( o-&+ ( 4no& +o)to " n%,o= L' *&#' ) ((%' ' +'#o 4"!'nt ( +@(+(o " n )o(o n4&o +ono+!"o +o4o +o)to &"+!"o< *'&' +'"' +("' %'+,'= P'&' +'(+('& ( +o)to &"+!"o )(++!on n o&"n (o) +&o) n+nt&= REGLAS PARA EL DESARROLLO DE LA PRUEBA DE OPTIMALIDAD O SALTO DE LA PIEDRA
L') *!"&') )&@n (') +'nt!"'") ')!7n'"') ' +'"' +')!((' " (' t'#('= S (('4'&'n +'&+o) (') +')!((') %'+,') " (' t'#('= S'(to o&!?ont'( n *!"&'< ) "+!& n -o&4' %&t!+'( o n -o&4' o&!?ont'(= R'(!?'& ( 4,n!4o " )'(to) *o)!#()= L' +')!((' ' %'('& +o4!n?' +on n )!7no M> *o)!t!%o ' 4"!"' n ) %' &+o&&!n"o (' &t' )+o7!"' ) %'n '(t&n'n"o (o) )!7no)= B)+'& n )'(to " (,n' +&&'"' "on" 4*!?' t&4!n'>= S! (' &t' ')!7n'"' ) +o&&+t'< )4'4o) '(7#&'!+'4nt (o) +o)to) (' &)*)t' "# "'& *o)!t!%'< ) "+!& (o) %'(o&) *o)!t!%o) )'n 4'o&) (o) %'(o&) n7't!%o)= S! (' &t' no ) +o&&+t' ) "# &')!7n'&= R#!+'+!n: To4'4o) (') +'nt!"'") " (') +')!((') n7't!%') (7!4o) ( %'(o& 4@) *o nt& ((o)< *'&' &)t@&)(o ' (') +'nt!"'") n7't!%') )4@&)(o ' (') *o)!t!%')=
A*(!4o) n ( $&+!+!o 'nt&!o& (' t+n!+' '),:
To4'4o) (' *&!4&' +')!((' (!#& > ( ')!7n'4o) )!7no M (7o t&'t'4o) " +on)7!& n' &t' %'' " +'nt!"'" n +'nt!"'"*!"&')> "# )& (' 4@) +o&t'< +o4o (o 4)t&' (' t'#(' +on ( &+'"&o< &+o&"'& *o& +'"' )'(to ) ')!7n' n )!no '(t&n'"o< ) "+!& )! +o4n?'4o) +on M (7o (7o M '), )+)!%'4nt ')t' +&&'& (' &t' ((7'n"o ' (' *o)!+!n n (' ) !n!+!< *o)t&!o&4nt to4'4o) ( tot'( " (o) +o)to) M (o) +o4*'&'4o) +on (o) Q< " t'( 4'n&' )! )to) )on 4'o&) (o) Q< !n"!+' ( +&o o +')!((' (!#& )t@ #!n #!+'"' no '"4!t ot&o %'(o&= D (o +ont&'&!o "#4o) #'('n+'& (' t'#(' " (' )!7!nt 4'n&': ) to4'&@ ( %'(o& " (' +'nt!"'" 4@) *' ')!7n'"' +on )!7no) n7't!%o) ) ( &)t'&@n ' )t') +')!((') ) ( )4'&@ "!+o %'(o& ' (') +')!((') *o)!t!%') )to '(t&'&@ ( o&"n " ')!7n'+!n " +'nt!"'") ) *&o+"&@ " n%o ' +o4n?'& +on (o) +&o) > '*(!+'n"o ( 4!)4o *&o+"!4!nto ')t' '7ot'& to"o) +'"' no " ((o)= Un' %? t&4!n'"o ( *&o+)o ) +'(+('&@ ( +o)to " n%,o *o"&@ "+!&) )t &*&)nt' n %'(o& *t!4o=
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
Guzmán, L. (2010). Modulo Métodos Determinísticos. Lugar: !"D.
C')!((') *o)!t!%') 4'o&) (') n7't!%')< (7o ) "$' n (' 4!)4' *o)!+!n= T&4!n'"o ( *&o+)o +on to"') (') +')!((') (!#&) >< *o"4o) o#)&%'& ((') no )-&!&on 4o"!-!+'+!n (7o ) *&o+" ' +'(+('& ( +o)to " n%,o n )t' o+')!n +o!n+!" +on ( 'nt&!o&4nt
.to"o "( T&'n)*o&t So(+!n +on 8!n9SB ;o t#< )=-=> L*?< !n7n!&!'!n")t&!'(on(!n=+o4< 2012> D)*) " In)t'('"o ( P&o7&'4'= L' *&!4&' %nt'n' no) n+ont&'4o) '( '#&!& ( *&o7&'4' ) (' )!7!nt:
#ineda, $. (201%). "&licaci'n in*+. reador -i/Long ang
In7&)'4o) (o) "'to):
#ineda, $. (201%). "&licaci'n in*+. reador -i/Long ang
#ineda, $. (201%). "&licaci'n in*+. reador -i/Long ang
./TODO DE TRANSBORDO L*?< !n7n!&!'!n")t&!'(on(!n=+o4< 2012>
E( P&o#(4' " T&'n)#o&"o< Int&t&'n)*o&t o R4#'& ) n' %'&!'+!n "( 4o"(o o&!7!n'( " t&'n)*o&t ) '$)t' ' (' *o)!#!(!"'" +o4n " t&'n)*o&t'& n!"'") 4"!'nt no"o) -nt)< ")t!no) t&'n)!to&!o)< 4!nt&') ( 4o"(o t&'"!+!on'( )o(o *&4!t n%,o) "!&+to) ")" no"o) -nt) '+!' no"o) ")t!no)= E5!)t (' *o)!#!(!"'" " &)o(%& n 4o"(o " t&'n)#o&"o 4"!'nt (') t+n!+') t&'"!+!on'() " &)o(+!n " 4o"(o) " t&'n)*o&t )t *&o+"!4!nto ) #')' n (' *&*'&'+!n "( t'#('"o !n!+!'( '+!n"o )o " '&t!-!+!o) +ono+!"o) +on ( no4#& " '4o&t!7'"o&)< (o) +'() "#n )& !7'() ' (' )4'to&!' " (') o-&t') " (o) no"o) " o-&t' *&' " +o-!+!nt +&o 0> n 4't&!' " +o)to)= S!n 4#'&7o (' &)o(+!n " n *&o#(4' " t&'n)#o&"o '+!n"o )o " (o) '(7o&!t4o) " &)o(+!n " 4o"(o) " t&'n)*o&t ) n' !"' 'n'+&n!+'< tn!n"o n +nt' (' *o)!#!(!"'" " '++)o ' &&'4!nt') " +4*to +'*'+) " &)o(%& *&o#(4') +o4*($o) n' %? 4o"('"o) 4"!'nt (') t+n!+') " *&o7&'4'+!n (!n'(= L' !4*o&t'n+!' " (o) 4o"(o) " t&'n)#o&"o '4nt' +on (') n%') tn"n+!') 7(o#'() " 7)t!n " +'"n') " '#')t+!4!nto< n (') +'() ) "#n " o*t!4!?'& (o) -($o) (o7,)t!+o) " *&o"+to) tn!n"o n +nt' (' !4*o&t'n+!' " 4!n!4!?'& (o) +o)to)< ')7&'& "!)*on!#!(!"'" " n!"'") &+ono+!n"o (' !4*o&t'n+!' " (o) +nt&o) " "!)t&!#+!n n (' #)"' "( !(!#&!o nt& (') *&o++!on) (' &'(!"'" " (' "4'n"'=
R)o(+!n " n *&o#(4' " t&'n)#o&"o 4"!'nt *&o7&'4'+!n (!n'(
P'&' *o"& &)o(%& n *&o#(4' " t&'n)#o&"o 4"!'nt *&o7&'4'+!n (!n'( #')t' +on +ono+& n' n%' -'4!(!' " &)t&!++!on)< (') (('4'"') &)t&!++!on) " #'('n+o= En n *&o#(4' " t&'n)#o&"o 5!)tn 3 +(')) " no"o)< (o) no"o) " o-&t' *&'< (o) " "4'n"' *&' (o) no"o) t&'n)!to&!o) *o)!#!(!t'n ( t&'n)#o&"o "#n " #'('n+'&) *'&' '+& ( )!)t4' )' %!'#(< ) "+!&< to"') (') n!"'") !n7&)n ' n no"o )'n !7'() ' (') )'(7'n "( 4!)4o n!"'") )'(n M n!"'") +on)&% ( no"o>= EL PROBLEMA
.o"('& 4"!'nt *&o7&'4'+!n (!n'( ( *&o#(4' " t&'n)#o&"o )#o?'"o n (' )!7!nt -!7&'=
"" / n3estigaci'n de 4&eraciones
L' -!7&' 4)t&' n' )&! " no"o) )) &)*+t!%') &t') 4"!'nt (') +'() ) )*on "!)t&!#!& (') n!"'") " n *&o"+to< ( n4&o ((%' +'"' '&+o -(+'> &*&)nt' ( +o)to n!t'&!o ')o+!'"o ' )' &t' '&+o>< (') +'nt!"'") ) #!+'n n (o) no"o) !n!+!'() &*&)nt'n (' o-&t' " +'"' *('nt'< '), +o4o (') +'nt!"'") " (o) no"o) -!n'() &*&)nt' (' "4'n"' " +'"' "!)t&!#!"o&=
LAS VARIABLES DE DECISIÓN
En )t +')o +o4o n (' 4'o&,' (') %'&!'#() " "+!)!n "#n &*&)nt'& (' +'nt!"'" " n!"'") n%!'"') *o& 4"!o " +'"' &t'= E) 4 '+on)$'#( "not'& +'"' no"o +on n n4&o *'&' )!4*(!-!+'& (' "-!n!+!n no4!n'( " (') %'&!'#()=
Un' %? &no4#&'"o +'"' no"o "-!n!&4o) (') %'&!'#(): A
E5!)tn n )t 4o"(o 3 t!*o) " &)t&!++!on) )t@n )t&+'4nt &('+!on'"') +on (o) t!*o) " no"o) 5!)tnt)< *'&' n no"o o-&t' *&' 5!)t (' &)t&!++!n " o-&t'H *'&' n no"o "4'n"' *&' 5!)t (' &)t&!++!n " "4'n"'< *'&' n no"o t&'n)!to&!o o t&'n)!to&!o " "4'n"' 5!)t (' &)t&!++!n " #'('n+= R+o&"4o) (o) no"o) t&'n)!to&!o) )on '((o) t!nn &t') '&+o) o -(+')> " nt&'"' )'(!"'< )! '"4@) )t *&)nt' n &&!4!nto " n!"'") ) "no4!n' t&'n)!to&!o " "4'n"'=
R)t&!++!on) " O-&t': A= C
En )t +')o (' "-!n!+!n " (' -n+!n o#$t!%o ) (!4!t' ' (' +on)!7n'+!n " +'"' &t' +on ) &)*+t!%o +o)to #'$o ( +&!t&!o 4!n!4!?'&=
W.IN K 3A
INGRESANDO EL MODELO A WINQSB
SOLUCIÓN OBTENIDA MEDIANTE WINQSB
E)t' ) (' &*&)nt'+!n 7&@-!+' " (' )o(+!n +o +o)to *t!4o ) " 20=00 n!"'") 4ont'&!')
DESARROLLO DE PROBLE.AS PLANTEADOS '= Fo&4( n 4o"(o +o4*(to " *&o7&'4'+!n (!n'( n -o&4' '(7#&'!+' *'&' 4o)t&'& ( 4o"(o " t&'n)#o&"o +on (o) %'(o&) "( +')o " )t"!o (') &)t&!++!on) !n"!%!"'() (') %'&!'#() " "+!)!n= V'&!'#() !<$ K ! )!4#o(!?' ' (' -nt $ )!4#o(!?' '( ")t!no Fn+!n O#$t!%o .!n!4!?'& Z = X 1,4∗C 1,4 + X 1,5∗C 1,5 + X 2,5∗C 2,5 + X 3,4∗C 3,4 + X 3,5∗C 3,5 + X 4,6∗C 4,6 + X 4,7∗ C 4,7 + X 5,6∗C 5,6 + X 5,7∗C 5,7 + X 6,8∗
R)t&!++!on) O-&t' X 1,4 + X 1,5 ≤ 190 X 2,5 ≤ 90 X 3,4 + X 3,5 ≤ 130
T&')#o&"o X 1,4 + X 3,4 = X 4,6 + X 4,7 X 1,5 + X 2,5 + X 3,5= X 5,6 + X 5,7 X 4,6 + X 5,6 = X 6,8 + X 6,9+ X 6,10 X 4,7 + X 5,7 = X 7,9 + X 7,10 + X 7,11
D4'n"' X 6,8 =110 X 6,9 + X 7,9=75 X 6,10 + X 7,10=65
X 7,11 =90
#= D!#$ (' &" "( 4o"(o " t&'n)#o&"o *&)nt'"o n ( +')o " )t"!o "on" ) 4)t& (') "!-&nt) &('+!on) ) "!-&n+!n +'"' no " (o) "!-&nt) no"o)=
C= Fo&4( ( 4!)4o 4o"(o n n' o$' " E5+(= D)*) ) E5+( So(%& *'&' &)o(%&(o< " '+&"o '( 4o"(o !n"! ( %'(o& " +o)to 4,n!4o "( 4o"(o *'&' (o) *&o"+to) )'n "!)t&!#!"o) ")" (') -@#&!+') ')t' (o) +(!nt) -!n'()=
D= L' +!"'" " #'&&'n!((' ' !4*(4nto ( )!)t4' " t&'n)*o&t 4')!%o ")' +o4*&'& 0 +'&&o+&,'< (' +'&&o+&,' t&4!n'"' ) (' nt&7'&,' ( '(4'+n " t&4!n'"o " D!t'4' *o& n +o)to " 1200< ) 7&*o "# !"nt!-!+'& +o4o +'4#!' ( 4o"(o 4o)t&'"o !n!+!'(4nt< '7' n' n%' &"< ( 4o"(o ")'&&(((o n )o(%&=
C= Fo&4( ( 4!)4o 4o"(o n n' o$' " E5+(= D)*) ) E5+( So(%& *'&' &)o(%&(o< " '+&"o '( 4o"(o !n"! ( %'(o& " +o)to 4,n!4o "( 4o"(o *'&' (o) *&o"+to) )'n "!)t&!#!"o) ")" (') -@#&!+') ')t' (o) +(!nt) -!n'()=
D= L' +!"'" " #'&&'n!((' ' !4*(4nto ( )!)t4' " t&'n)*o&t 4')!%o ")' +o4*&'& 0 +'&&o+&,'< (' +'&&o+&,' t&4!n'"' ) (' nt&7'&,' ( '(4'+n " t&4!n'"o " D!t'4' *o& n +o)to " 1200< ) 7&*o "# !"nt!-!+'& +o4o +'4#!' ( 4o"(o 4o)t&'"o !n!+!'(4nt< '7' n' n%' &"< ( 4o"(o ")'&&(((o n )o(%&=
V& 'n5o P&o+to In% o*&'+!on) 2
E= S t!n *n)'"o +o4*&'& n 7&'n '(4'+n " n)'4#( t&4!n'"o n F'+'t't!%@ &4*('?'&' (o) ot&o) '+t'(4nt ) )t@n t!(!?'n"o P&!&'< A&4n!'< D!t'4'< C'&t'7o>< +on ( %'(o& " (') %nt') " )to) '(4'+n) (' +o4*&' "( " F'+'t't!%@ "'&,' n )'("o ' -'%o& " 0=000< (' '"4!n!)t&'+!n to4'&@ (' "+!)!n " t&'#'$'& )o(o +on F'+'t't!%@ )! (o) +o)to) " t&'n)#o&"o 4@) ( )'("o ' -'%o& )on 4no& ( "( 4o"(o !n!+!'(< XS 7&*o &+o4!n"'< ) "# *')'& ' t!(!?'& (' )" F'+'t't!%@< $)t!-! ) &)*)t'Y
V& 'n5o P&o+to In% o*&'+!on) 2
J)t!-!+'+!n: A( &'(!?'& ( $&+!+!o no &+o4n"'4o) )'& ( '(4'+n " F'+'t't!%@< ' (o) +o)to) " t&'n)*o&t )on 4@) +o)to)= A( &'(!?'& ( 'n@(!)!) " (') &)t&!++!on) +on (o) +'t&o '(4'+n) (' -n+!n o#$t!%o ) 4+o 4@) +on4!+' (' " n )o(o '(4'+n= E) 4@) &+o4n"'#( tn& (o) +'t&o '(4'+n)< ) *"n *('nt'& "!-&nt) &t') n +')o " '(7n !4*&%!)to n (') %,') Fn+!n O#$t!%o A(4'+n F'+t!t!%' WK 1=00=00<00 Fn+!n O#$t!%o C't&o A(4'+n) WK 0=000<00
BIBLIOGRAFIA ; 8EBGRAFIA Co(o4#!'no< P= G= )=-=>= n3estigaci5n de o&eraciones. R+*&'"o ( 10 " 0 " 2016< " tt*:+'4*)%!&t'(=*o(!7&'n="=+oY&K'('Z L*?< B= S= 2012>= ingenieriaindustrialonline.com= R+*&'"o ( 10 " 0 " 2016< " tt*:[[[=!n7n!&!'!n")t&!'(on(!n=+o4&&'4!nt')Q*'&'Q(Q!n7n!&oQ !n")t&!'(!n%)t!7'+!\C3\B3nQ"Qo*&'+!on)*&o#(4'Q"(Qt&'n)*o&tQnQ[!n)# L*?< B= S= 0 " 11 " 2012>= ingenieriaindustrialonline.com= R+*&'"o ( 10 " 0 " 2016< " tt*:[[[=!n7n!&!'!n")t&!'(on(!n=+o4&&'4!nt')Q*'&'Q(Q!n7n!&oQ !n")t&!'(!n%)t!7'+!\C3\B3nQ"Qo*&'+!on)*&o#(4'Q"Qt&'n)#o&"o S'&?< I= 0 " 11 " 2013>= #rezi.com = R+*&'"o ( 10 " 0 " 2016< " tt*):*&?!=+o4(o&76"#+$]4o"(oQ"Q')!7n'+!onQQt&'n)#o&"o UNAD= )=-=>= ni3ersidad !acional "6ierta 7 a Distancia = R+*&'"o ( 10 " 0 " 2016< " tt*:"'t't+'=n'"="=+o+ontn!"o)102016CONTENIDOSE5]n%o+'*!t(o]3]4o" (o)]"]t&'n)*o&t=t4( ;o t#= )=-=>= Modelo de trans&orte con !*+ = R+*&'"o ( 10 " 0 " 2016< " .o"(o " t&'n)*o&t +on 8IN9SB: tt*):[[[=ot#=+o4['t+Y%K.n^-!WLW+