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	<title>Double Tank multimode problem (AMPL) - Revision history</title>
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	<updated>2026-06-09T08:01:15Z</updated>
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		<id>https://mintoc.de/index.php?title=Double_Tank_multimode_problem_(AMPL)&amp;diff=2215&amp;oldid=prev</id>
		<title>ClemensZeile: Created page with &quot;This page contains a discretized version of the MIOCP Double Tank multimode problem in [http://www.ampl.org AMPL] format and with the package ampl_mintoc. You should be aw...&quot;</title>
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		<updated>2018-01-10T15:35:13Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;This page contains a discretized version of the MIOCP &lt;a href=&quot;/index.php?title=Double_Tank_multimode_problem&quot; title=&quot;Double Tank multimode problem&quot;&gt;Double Tank multimode problem&lt;/a&gt; in [http://www.ampl.org AMPL] format and with the package ampl_mintoc. You should be aw...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;This page contains a discretized version of the MIOCP [[Double Tank multimode problem]] in [http://www.ampl.org AMPL] format and with the package ampl_mintoc. You should be aware of the comments regarding discretization made on the [[:Category:AMPL|AMPL overview]] page. Note that you will need to include two generic [[support AMPL files]], mintocPre.mod and mintocPost.mod.&lt;br /&gt;
&lt;br /&gt;
=== AMPL ===&lt;br /&gt;
&lt;br /&gt;
The model in AMPL code for a fixed control discretization grid with a collocation method. We need a model file mmdoubletank.mod,&lt;br /&gt;
&amp;lt;source lang=&amp;quot;AMPL&amp;quot;&amp;gt;&lt;br /&gt;
# Problem specific parameters and variables&lt;br /&gt;
param ref{X};&lt;br /&gt;
param p{Omega};&lt;br /&gt;
&lt;br /&gt;
# Problem specific functions&lt;br /&gt;
&lt;br /&gt;
var f {k in X,o in 0..no,i in I} = (&lt;br /&gt;
	if      (k==1 &amp;amp;&amp;amp; o==0) then 1- sqrt(x[1,i])&lt;br /&gt;
	else if (k==2 &amp;amp;&amp;amp; o==0) then sqrt(x[1,i]) - sqrt(x[2,i])&lt;br /&gt;
	else if (k==1 &amp;amp;&amp;amp; o==1) then 1&lt;br /&gt;
	else if (k==1 &amp;amp;&amp;amp; o==2) then 0.5&lt;br /&gt;
	else if (k==1 &amp;amp;&amp;amp; o==3) then 2&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
var lagrange{i in IC} = ref[1]*(x[2,i] - ref[2])^2;&lt;br /&gt;
&lt;br /&gt;
var re{k in RE} = (&lt;br /&gt;
	if      (k==1) then x[1,0] - 2.0&lt;br /&gt;
	else if (k==2) then x[2,0] - 2.0&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
# -----------------------------------------&lt;br /&gt;
# Unused modeling parts&lt;br /&gt;
var mayer = 0;&lt;br /&gt;
&lt;br /&gt;
var ri {k in RI} = (&lt;br /&gt;
	if      (k==1) then x[1,0]&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
var xa {k in XA, i in I} = (&lt;br /&gt;
	if      (k==1) then x[1,i]&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
var con {k in C, i in IC} = (&lt;br /&gt;
	if      (k==1) then x[1,i]&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
var vcon {k in VC, o in 0..no, i in IC} = (&lt;br /&gt;
	if      (k==1) then x[1,i]&lt;br /&gt;
);&lt;br /&gt;
&lt;br /&gt;
var sw{o in Omega, i in IC diff {nt}, k in 1..nsw} = (&lt;br /&gt;
	if      (k==1) then x[1,i]&lt;br /&gt;
);&lt;br /&gt;
&amp;lt;/source&amp;gt;&lt;br /&gt;
&lt;br /&gt;
the data file mmdoubletank.dat&lt;br /&gt;
&lt;br /&gt;
&amp;lt;source lang=&amp;quot;AMPL&amp;quot;&amp;gt;&lt;br /&gt;
# ------------------------------------&lt;br /&gt;
# Data: Double Tank Problem (from Mintoc.de)&lt;br /&gt;
# ------------------------------------&lt;br /&gt;
&lt;br /&gt;
# Dimensions, all other 0 by default&lt;br /&gt;
param nxd := 2;&lt;br /&gt;
param no := 3;&lt;br /&gt;
param nre := 2;&lt;br /&gt;
&lt;br /&gt;
# Algorithmic parameters&lt;br /&gt;
param nt := 4800;&lt;br /&gt;
param ntperu := 60;&lt;br /&gt;
&lt;br /&gt;
# Problem parameters&lt;br /&gt;
let T := 10.0;&lt;br /&gt;
#let p[1] := 2;&lt;br /&gt;
#let p[2] := 3;&lt;br /&gt;
let ref[1] := 2.0;&lt;br /&gt;
let ref[2] := 3.0;&lt;br /&gt;
&lt;br /&gt;
# Initial values control&lt;br /&gt;
let {i in IU} wi[1,i] := 0.3;&lt;br /&gt;
&lt;br /&gt;
# Plot names&lt;br /&gt;
let nplots := 2;&lt;br /&gt;
let filename_base := &amp;quot;mmdoubletank&amp;quot;;&lt;br /&gt;
let plotx_name[1] := &amp;quot;level 1&amp;quot;;&lt;br /&gt;
let plotx_name[2] := &amp;quot;level 2&amp;quot;;&lt;br /&gt;
#let plotw_name[1] := &amp;quot;Fishing control&amp;quot;;&lt;br /&gt;
let plotx[1] := 1;&lt;br /&gt;
let plotx[2] := 1;&lt;br /&gt;
for {k in 1..no} { let plotw[k] := 1; }&lt;br /&gt;
for {k in 1..nxd} { let plotlambda[k] := 2; }&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/source&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
and the run file&lt;br /&gt;
&amp;lt;source lang=&amp;quot;AMPL&amp;quot;&amp;gt;&lt;br /&gt;
##############################&lt;br /&gt;
model ../mintocPre.mod;&lt;br /&gt;
model mmdoubletank.mod;&lt;br /&gt;
model ../mintocPost.mod;&lt;br /&gt;
data mmdoubletank.dat;&lt;br /&gt;
##############################&lt;br /&gt;
&lt;br /&gt;
let isSOS1 := 1;&lt;br /&gt;
let integrator := &amp;quot;explicitEuler&amp;quot;;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
##############################&lt;br /&gt;
let integrator := &amp;quot;radau3&amp;quot;;&lt;br /&gt;
let mode := &amp;quot;Relaxed&amp;quot;;&lt;br /&gt;
include ../solve.run;&lt;br /&gt;
include ../plot1404.run;&lt;br /&gt;
include ../printOutput.run;&lt;br /&gt;
&lt;br /&gt;
##############################&lt;br /&gt;
let mode := &amp;quot;CIA&amp;quot;;&lt;br /&gt;
include ../solveMILP.run;&lt;br /&gt;
let mode := &amp;quot;Simulate&amp;quot;;&lt;br /&gt;
include ../solve.run;&lt;br /&gt;
let filename_ext := &amp;quot;CIA&amp;quot;;&lt;br /&gt;
include ../plot1404.run;&lt;br /&gt;
include ../printOutput.run;&lt;br /&gt;
&amp;lt;/source&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:AMPL]]&lt;/div&gt;</summary>
		<author><name>ClemensZeile</name></author>
	</entry>
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