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<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Dear
Rothikumar,<o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Often
the formulation of a piece-wise linear objective function is easy – see for
example the attached. In other cases (obj function not convex), additional
binary variables are needed. In any case you have to transform your model to a
linear model and then express it in flopc++ (there is (not yet) any specific
language support for this).<o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Hope
this helps, Tim <o:p></o:p></span></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'><o:p> </o:p></span></p>
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color:#1F497D'><o:p> </o:p></span></p>
<p class=MsoNormal><b><span style='font-size:10.5pt;font-family:"Century Gothic","sans-serif";
color:#1F497D'>Tim Hultberg<o:p></o:p></span></b></p>
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color:#1F497D'>Product Implementation Expert<o:p></o:p></span></p>
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color:#1F497D'>Meteorological Operations Division<o:p></o:p></span></p>
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color:#1F497D'><o:p> </o:p></span></p>
<div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'>
<p class=MsoNormal><b><span lang=EN-US style='font-size:10.0pt;font-family:
"Tahoma","sans-serif"'>From:</span></b><span lang=EN-US style='font-size:10.0pt;
font-family:"Tahoma","sans-serif"'> Rohitkumar HC
[mailto:rohitkumar.hc@in.abb.com] <br>
<b>Sent:</b> Monday, August 30, 2010 12:19 PM<br>
<b>To:</b> Tim Hultberg<br>
<b>Subject:</b> Fw: Piece-Wise Linear Equation<o:p></o:p></span></p>
</div>
<p class=MsoNormal><o:p> </o:p></p>
<p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Dear
Tim,</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>I am looking
forward for your response.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Just to make
things more clearer the piece-wise linear objective function model in our case
is similar to Transportation Problem existing in the AMPL Book at Chapter-17
(Fig 17-3a).</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>I would
greatly appreciate your help.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Regards,</span>
<o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Rohitkumar
HC</span></b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'><br>
ABB Global Industries and Services Limited<br>
Whitefield Road<br>
560048, Bangalore, Karnataka, INDIA<br>
Phone: +91 80 42069898<br>
Mobile: +91 9731562938<br>
email: </span><a href="mailto:rohitkumar.hc@in.abb.com"><span
style='font-size:7.5pt;font-family:"Arial","sans-serif"'>rohitkumar.hc@in.abb.com</span></a><o:p></o:p></p>
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<p><br>
<br>
<span style='font-size:7.5pt;font-family:"Arial","sans-serif";color:purple'>-----
Forwarded by Rohitkumar HC/BAN/INABB/ABB on 08/30/2010 03:44 PM -----</span> <o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Rohitkumar
HC/BAN/INABB/ABB</span></b> <br>
<span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Phone: +91 80
42069898 , Mobile: +91 9731562938 </span><o:p></o:p></p>
<p><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>08/27/2010
02:28 PM</span> <o:p></o:p></p>
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<p class=MsoNormal><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Tim
Hultberg <Tim.Hultberg@eumetsat.int></span> <o:p></o:p></p>
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<p class=MsoNormal><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>RE:
Piece-Wise Linear Equation</span><a
href="Notes://mail02.in.abb.com/652573270052C371/DABA975B9FB113EB852564B5001283EA/C62B9C42D2F4CEB14825778A003F2B40">Link</a><o:p></o:p></p>
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<span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Hi Tim,</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>I am
continuing to work on building a piecewise linear function.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Just to let
you know we have an Non-Linear Cost term in the objective function which is
modelled in the form of a piecewise linear function.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>What is the
best way to handle such a case, i.e. is it better to write a separate method to
return the total cost value or would it be possible somehow to use the existing
capabilities of FLOP C++ to perform this.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>My choice
would be the later option. However, I am unable to find enough help to model
this case.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Kindly let
me know if it possible to model this case using the existing FLOP C++
capabilities.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Regarding
the mimax example which you have specified in your previous mail, I was unable
to find it. So please let me know where is this example available.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Regards,</span>
<o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Rohitkumar
HC</span></b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'><br>
ABB Global Industries and Services Limited<br>
Whitefield Road<br>
560048, Bangalore, Karnataka, INDIA<br>
Phone: +91 80 42069898<br>
Mobile: +91 9731562938<br>
email: </span><a href="mailto:rohitkumar.hc@in.abb.com"><span
style='font-size:7.5pt;font-family:"Arial","sans-serif"'>rohitkumar.hc@in.abb.com</span></a><o:p></o:p></p>
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<br>
<o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Tim
Hultberg <Tim.Hultberg@eumetsat.int></span></b><span style='font-size:
7.5pt;font-family:"Arial","sans-serif"'> </span><o:p></o:p></p>
<p><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>08/25/2010
04:59 PM</span> <o:p></o:p></p>
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<p class=MsoNormal><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Rohitkumar
HC/BAN/INABB/ABB@ABB</span> <o:p></o:p></p>
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<p class=MsoNormal><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>RE:
Piece-Wise Linear Equation</span><o:p></o:p></p>
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<br>
<br>
<span style='font-size:10.0pt;font-family:Consolas'>There is no special
language construct for piecewise linear programming, but of course you can
formulate such problems with flopcpp. It is also possible to make a method
which 'automatically' adds such constraints, similarly to the minmax objective
example.</span> <br>
<span style='font-size:10.0pt;font-family:Consolas'> </span> <br>
<span style='font-size:10.0pt;font-family:Consolas'>Regards,</span> <br>
<span style='font-size:10.0pt;font-family:Consolas'>Tim Hultberg</span> <br>
<span style='font-size:10.0pt;font-family:Consolas'> </span> <br>
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<b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>From:</span></b><span
style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> Rohitkumar HC [</span><a
href="mailto:rohitkumar.hc@in.abb.com"><span style='font-size:10.0pt;
font-family:"Tahoma","sans-serif"'>mailto:rohitkumar.hc@in.abb.com</span></a><span
style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>] <b><br>
Sent:</b> Wednesday, August 25, 2010 11:58 AM<b><br>
To:</b> Tim Hultberg<b><br>
Subject:</b> Piece-Wise Linear Equation</span> <br>
<br>
<span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Dear Tim,</span>
<o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Thanks for
your response on Memory leaks in FLOP C++.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>We wish to
know if there is any way to represent the Piece-Wise linear equation in FLOP
C++ similar to AMPL.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>If we can
have an example it would be greatly appreciated.</span> <o:p></o:p></p>
<p><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Regards,</span>
<o:p></o:p></p>
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<p class=MsoNormal><b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'>Rohitkumar
HC</span></b><span style='font-size:7.5pt;font-family:"Arial","sans-serif"'><br>
ABB Global Industries and Services Limited<br>
Whitefield Road<br>
560048, Bangalore, Karnataka, INDIA<br>
Phone: +91 80 42069898<br>
Mobile: +91 9731562938<br>
email: </span><a href="mailto:rohitkumar.hc@in.abb.com"><span
style='font-size:7.5pt;font-family:"Arial","sans-serif"'>rohitkumar.hc@in.abb.com</span></a><o:p></o:p></p>
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