Spreadsheet Optimization Solver

Embed Size (px)

Citation preview

  • 7/28/2019 Spreadsheet Optimization Solver

    1/15

    &! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! '

    '! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! (

    (! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ,

    )! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ,

    *! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! -

    +! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &%

    ,! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &%

    -! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &'

    .! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &(

    &%!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &)

    &&! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! &*

    ""!!"""

    !

    http://www.meiss.com/en/publications/spreadsheet-optimization-solver.htmlhttp://www.meiss.com/en/publications/spreadsheet-optimization-solver.htmlhttp://www.meiss.com/en/publications/http://www.meiss.com/en/publications/http://www.meiss.com/http://www.lums.lancs.ac.uk/profiles/thanh-ha-nguyen/http://www.lums.lancs.ac.uk/profiles/thanh-ha-nguyen/http://www.meiss.com/en/publications/http://www.meiss.com/http://www.meiss.com/en/publications/spreadsheet-optimization-solver.html
  • 7/28/2019 Spreadsheet Optimization Solver

    2/15

    & !###&"$

    "#$

    " #

    $

    #%

    "$#"

    $!!!$"

    #$

  • 7/28/2019 Spreadsheet Optimization Solver

    3/15

    $

    $""!!"""("!""'"("!

    !" #!" ! !!"+" " ! ""'

    ' %"#! !!"!+!!" ' %!

    !%"'!!""!""!$#'!!"$"+

    $!$!"!*

    /+ "!!"%!"+0+

    '"%"!""$#"+

    1+ '"!$!+2+ '"!%"!""!+3+ $")++)"(+

    !""!!!!"%!"!+#!""!"&

    !/0%!0..4+

    % #! #"&& "#!""%" " &+!"%'#!"%'!""% "'!,!"

    !"-"#"!&"!"+"!"!#'"!""#!

  • 7/28/2019 Spreadsheet Optimization Solver

    4/15

    "

    #!$#"-!!"#!!$!"53"-!*5)"-"*43"-#*

    ("153!#-!!"#!!$!"4)-"*63"-#*("

    163 !#- (" 833 "- !* 93 )"- "* :33 "- # -

    #&""##!#$#!$#')!#"-

    "&!#"$"#*!#"!"#&&$##!##

    $#!#"$"!($#!!!!$-$!6"&"

    ##"!"#!$##""#"-##!"

    ""!"#$!6!$!%$"*--*!$"%#!(#-

    "77##$#""#!"#!#!$

    #!-!##!$#"!!$#!##"8

    8-$#!#!$!!$#!$#"%"43,45-

    $##(!#"%#!""#!"43,45-

    !!("!"#!$

    "##&&"#"*"78*!#'-

    ##&&"#" #* 8* "# $'-

    "'"%$##"!"#'#!"#(+#(#"!"#"!

    #!-

    '# "# "# !# !$ ! #!# 8- !# " # $#

    !$$#(#!#!!!*$"#$#!$$#

    (#!#!!!-!$!!#8";.7,7+8,8/-4

    4$#;%'#(&$#"!!"!'(

    # " # !"$#"- ! '* # !$ ;.7,7+ 8,8/ " $%# #

  • 7/28/2019 Spreadsheet Optimization Solver

    5/15

    %$""!%""&"%$#%$54.%$

    ""!%"#$%$"%/80$#$""!%"$"""

    /540+%#$%$"%/80$#$""!%"$"""

    /540."%54#;/338-338,54-540.##!%&$$

    $ "% :338154:338154. " ## " $ "### " $

    "%$#$$$"%54""$)$#55

    566.!%$$)"$#&$"##$"#54-56.

    #"#$'$"%#

    #"#$'$ $# "%# # #' %" 8. $") ' &%# " $

    "%$!%$$#$$#$$#"#$."(+$"$"%$54""#

    ;819:819."+$#%#$$($##*+..+$#%""'#$

    # %" %#. " (+ ;/5-9, 55-590 # & "% '

    /5-9,5-70#$&.%$##)%#%$#"".

    6"###338-338"%#$($"'$"%#.$%$$"##+$"%55/'"540'%""$)";/9-9+55-550.

    $$"##+$"%#""$)$55#;/338-338+55-550.

  • 7/28/2019 Spreadsheet Optimization Solver

    6/15

    "&

    '""$""'""

    %"("&"")""

  • 7/28/2019 Spreadsheet Optimization Solver

    7/15

    # #!$" #! #"!"#* #'# "# " # % ##)!,,

    %!&"%#!$##1,#!$#2,

    '

    " !"$ # ' "& $! 8,# ## # $!"! "

    #("# #' .# !# */& "'-" #! ! .#% $#/, !

    "#!!&!(*##%"#')##!#*&"$#8,(8!

    $"#$"##8,#####!#""".'/($#, !

    )#!*#!./"$,

    ##:#!;##"#*$"##"$%##"##)!#"%#!,!##*#"%!""#!#"#",

    $!'*#$#"!#!$!#*#"

    7+7,"%!! ',"#$"!#(:#;0:;#

    %#$!"!##'.("/#',

    #(7+7!$"#$"###7+7,

    # " %!" !# #" # "!"# #! $"

    "" "!#!",!'* ($$ #(7+7*54+56*57+59 # .(

  • 7/28/2019 Spreadsheet Optimization Solver

    8/15

  • 7/28/2019 Spreadsheet Optimization Solver

    9/15

    %$!!!

    !+"!!!!!,!! %!"$

    !$*!116)116:82!!!$!!6:826:82*&(

    ! 1132)1134981132)1134 ! !!!!329832(3398

    33(349834*!!!&!!!!!!!!

    +!,"!!(!"!+,"!!! %*

    !$# # !!*% #34$!

    !422#*!$"!$!!!&

    #""!322!!! 5*

    !.!/(!!!!!!'$!*!+!,"!!!%*"

    ! %$"7*

    !+",%!!+,"!!*!!!'

    !! ! ( ! ! *

    #!&!"!!("!"!(

    !#!&!!#!&&!*!!+,"!!!

    %"!"*

    5!!)--$$$*#*-"!'*!

  • 7/28/2019 Spreadsheet Optimization Solver

    10/15

    '

    !$#!#"#!!&!("&!(#"%+#%###)!*

    #(6#7067!$"#$"##.%/$##+#!&""*#

    '"$!+#$#".%!$#/./&"#

    '!%##"$#"$"#!#$!4+&!#$!##.!#"/

    !## '##!+

    "!"##!#)

    #!&""!"#""+!'*#$!%$"

    !##"$#!!("&$!4+&%!*#!$"$"#

    ! "(+# "#!#" ! %" $!4+ $# #

    $!( " "!"# # " !## # # "!"#+ "#( "

    "##!!"#"#*#!-"#"##"#+

    !$$##"$!"*&""#("#%#"+!"#*"%!"&

    "'1!#"!#$#$#%!"("2!+

    #%$#& " '! +"#!#"

    $"5$#"""!&+

    $#'!$"%!"*!"##1"#2#+

    #!#$"$###!$$+%#$!"!##.!#",/$#

  • 7/28/2019 Spreadsheet Optimization Solver

    11/15

    ##$"$##-'"$!-"#.!!/#

    # .#(/ "# " # " 1& " # $#2- " # !!

    .$#/-(*#./$##!#!##-

    ##'#!#"%!"*!$# '"!-"#.#/#*"#.!/*"##!$*##./$##-

    "!$!$"#$#$'!$##%$#1

    !"##$"$"#.#(/2-##'#!

    ##%#!-

    %"#!#"#$"!&("!$# '-$"!#

    "#!#5576,5578=

  • 7/28/2019 Spreadsheet Optimization Solver

    12/15

    :0054/541;5+4/48*2:2*2":21+

    !!"%"!""!"

    !$ "! " $ % #! " & % "(+ &)

    !!"! " " !!"" " "&"'&"'

    !#!"!+!!!#"""!"""!!"+

    !!"""&"($!,"!!!#

    "!"!-+!"!)#" "#!",!!#

    -"+%$)"!#!"!'!+'!

    !%"#!""$'" !()++ 4+4446744)444)444+""

    #"! "! $! . !""! "$ "",/!-

    +""$')"!""("&+

    &)"!#5+4/49"4+445+

  • 7/28/2019 Spreadsheet Optimization Solver

    13/15

    #"-$ (

    $311(!!

    #2115(

    *+"&$#

    ! " * (

    # +( # & $

    !(#

    - (

    "(

    #,

    *-+(

    "$$!("&

    &(()&-3&-2&1&2&3&)

    "#!!

    *+(

    ##.1&2/&(

    !#

    2(

    #!$(

    #

    ("&

    #(#425&345(7%#

    ! & !#

    1(7(

    $!##(

    "6:#($!!!6:(!6:

    $ ! ( 1(16

    #("&

    1(1:(

    5',,!!!((,$(

  • 7/28/2019 Spreadsheet Optimization Solver

    14/15

    "$!

    & $ " &

    '(" % '!($ '#(

    '(& $ '!( '#( &

    '(&"!!!

    !*#*&!!*)#

    !**&

    !*

    !

    #*

  • 7/28/2019 Spreadsheet Optimization Solver

    15/15

    "%

    & ! "

    (#'"#

    !( ' #""!("% "

    #,((!"!-'+($'!

    "!,4'-"!

    "!!!%"(43&(#"

    "#!/3'254(

    $"&(" %

    % ! %! ! & # ,((

    -($'!!#

    " !( " % ! #

    (

    " & " $(

    !!!$()"*"

    & ) * & (

    " )*!( "

    #(