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    <div class="moz-cite-prefix">Thank you very much for you time and
      your valuable help.<br>
      <br>
      Yes, all the variables are bounded.. Some of them have equal low
      and upper bounds. I tried by differing them, but the problem
      remains...<br>
      <br>
      I would try the option of limiting the objective but the code is
      too complex to add a new constrain in a few hours.. (The model is
      constructed in C++ by reading an excel file).<br>
      <br>
      So, i almost agree that the defect is infeasibility.<br>
      <br>
      Can you suggest any trick to find it while trying to limit the
      objective?<br>
      <br>
      Thank you very much.<br>
      <br>
      <br>
      On 10/8/2012 20:06, <a class="moz-txt-link-abbreviated" href="mailto:acw@ascent.com">acw@ascent.com</a> wrote:<br>
    </div>
    <blockquote
cite="mid:OFB4DD9712.DF1517EE-ON85257A56.005D5E40-85257A56.005E0B61@ascent.com"
      type="cite"><font face="sans-serif" size="2">The objective is a
        linear combination of
        some set of variables. &nbsp;Of course I don't know what your
        objective
        function is, but let's call it F.</font>
      <br>
      <br>
      <font face="sans-serif" size="2">Since this is a minimization
        problem,
        I propose adding one more constraint to the problem, F &gt;=
        -1e6. &nbsp;If
        unboundedness is the problem, the modified problem will solve
        with no trouble.</font>
      <br>
      <br>
      <font face="sans-serif" size="2">In your first response, you
        mention
        variable bounds. &nbsp;Do you have bounds on all your variables? &nbsp;If
        you do, then my analysis is probably wrong and the difficulty is
        infeasibility
        rather than unboundedness.</font>
      <br>
      <br>
      <font face="sans-serif" size="2">It should not be necessary to
        know any
        solver internals to figure out what's wrong.</font>
      <br>
      <br>
      <br>
      <table width="100%">
        <tbody>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">From:</font>
            </td>
            <td><font face="sans-serif" size="1">Christos
                <a class="moz-txt-link-rfc2396E" href="mailto:chtsolak@gmail.com">&lt;chtsolak@gmail.com&gt;</a></font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">To:</font>
            </td>
            <td><font face="sans-serif" size="1"><a class="moz-txt-link-abbreviated" href="mailto:acw@ascent.com">acw@ascent.com</a></font>
            </td>
          </tr>
          <tr>
            <td valign="top"><font color="#5f5f5f" face="sans-serif"
                size="1">Cc:</font>
            </td>
            <td><font face="sans-serif" size="1"><a class="moz-txt-link-rfc2396E" href="mailto:cbc@list.coin-or.org">"cbc@list.coin-or.org"</a>
                <a class="moz-txt-link-rfc2396E" href="mailto:cbc@list.coin-or.org">&lt;cbc@list.coin-or.org&gt;</a>,
                Allan Wechsler <a class="moz-txt-link-rfc2396E" href="mailto:acw@robson.ascent.com">&lt;acw@robson.ascent.com&gt;</a></font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">Date:</font>
            </td>
            <td><font face="sans-serif" size="1">08/10/2012 12:37 PM</font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">Subject:</font>
            </td>
            <td><font face="sans-serif" size="1">Re: [Cbc] Artificial
                variables</font></td>
          </tr>
        </tbody>
      </table>
      <br>
      <hr noshade="noshade">
      <br>
      <br>
      <br>
      <font size="3">I forgot to mention that it is a minimization
        problem
        , so i do not know if there is any point in limiting objective.<br>
        <br>
        Sorry for the double mail.<br>
        <br>
        On 10/8/2012 19:24, </font><a moz-do-not-send="true"
        href="mailto:acw@ascent.com"><font color="blue" size="3"><u>acw@ascent.com</u></font></a><font
        size="3">
        wrote:</font>
      <br>
      <font face="sans-serif" size="2">No single constraint is
        responsible
        for an infeasibility. &nbsp;Consider a system with one variable, and
        two
        constraints, X &gt;= 7 and X &lt;= 4. &nbsp;This system is obviously
        infeasible,
        but which of the two constraints is at fault?</font><font
        size="3"> <br>
      </font><font face="sans-serif" size="2"><br>
        In your case I suspect that the problem is unbounded rather than
        infeasible,
        because you have so few constraints and so many variables.
        &nbsp;Unless
        the problem has a very special structure, a problem with fewer
        constraints
        than variables is likely to be unbounded.</font><font size="3">
        <br>
      </font><font face="sans-serif" size="2"><br>
        You can check this by adding a constraint that limits your
        objective to,
        say, 1e6. &nbsp;If the problem now solves, then unboundedness is
        almost
        certainly your difficulty.</font><font size="3"> <br>
        <br>
      </font>
      <table width="100%">
        <tbody>
          <tr valign="top">
            <td width="22%"><font color="#5f5f5f" face="sans-serif"
                size="1">From:</font><font size="3">
              </font>
            </td>
            <td width="77%"><font face="sans-serif" size="1">Christos </font><a
                moz-do-not-send="true" href="mailto:chtsolak@gmail.com"><font
                  color="blue" face="sans-serif" size="1"><u>&lt;chtsolak@gmail.com&gt;</u></font></a><font
                size="3">
              </font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">To:</font><font
                size="3">
              </font>
            </td>
            <td><a moz-do-not-send="true"
                href="mailto:cbc@list.coin-or.org"><font color="blue"
                  face="sans-serif" size="1"><u>cbc@list.coin-or.org</u></font></a><font
                size="3">
              </font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">Date:</font><font
                size="3">
              </font>
            </td>
            <td><font face="sans-serif" size="1">08/10/2012 09:32 AM</font><font
                size="3">
              </font>
            </td>
          </tr>
          <tr valign="top">
            <td><font color="#5f5f5f" face="sans-serif" size="1">Subject:</font><font
                size="3">
              </font>
            </td>
            <td><font face="sans-serif" size="1">[Cbc] Artificial
                variables</font></td>
          </tr>
        </tbody>
      </table>
      <br>
      <font size="3"><br>
      </font>
      <hr noshade="noshade"><font size="3"><br>
        <br>
      </font><tt><font size="2"><br>
          Hi, i have a model with around 10000 variable and 1500
          equations.<br>
          <br>
          But i get the messages on the photo when i run it:</font></tt><font
        color="blue" size="3"><u><br>
        </u></font><a moz-do-not-send="true"
        href="http://imageshack.us/photo/my-images/39/dascd.png/"><tt><font
            color="blue" size="2"><u>http://imageshack.us/photo/my-images/39/dascd.png/</u></font></tt></a><tt><font
          size="2"><br>
          <br>
          Is there any way to use artificial variable or something else
          in order
          <br>
          to find the problematic equation?<br>
          <br>
          Thank you in advance<br>
          _______________________________________________<br>
          Cbc mailing list</font></tt><tt><font color="blue" size="2"><u><br>
          </u></font></tt><a moz-do-not-send="true"
        href="mailto:Cbc@list.coin-or.org"><tt><font color="blue"
            size="2"><u>Cbc@list.coin-or.org</u></font></tt></a><font
        color="blue" size="3"><u><br>
        </u></font><a moz-do-not-send="true"
        href="http://list.coin-or.org/mailman/listinfo/cbc"><tt><font
            color="blue" size="2"><u>http://list.coin-or.org/mailman/listinfo/cbc</u></font></tt></a><font
        size="3"><br>
      </font>
      <br>
      <br>
    </blockquote>
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