<div dir="ltr">Yes. Understood.<div><br></div><div>It is probably a bug in the GAP example code. I have not looked at it in over 10 years.</div><div><br></div><div>As for branch-and-price (BP) vs branch-and-cut (BC) for GAP, in my experience GAP is handled quite well by BC -- and BP will rarely outperform it (in most cases) - at least using a "standard" (generic) BP implementation. I am sure it is possible to make BP competitive with BC for GAP with some tricks. But, I have not seen good evidence of this for a standard approach. </div><div><br></div><div>I think BC solvers have just gotten really good at generating strong cuts for those polytopes (in GAP). So, BP will add no real value there. </div><div><br></div><div>BP "wins" on two main cases (in my experience): (a) block angular where parallelism is exploited, (b) cases where the known cutting planes in BC solvers are ineffective - so BP gets the bound strength from a different direction (the inner expansion of the polytope, rather than an outer expansion).</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Wed, Jun 12, 2019 at 5:20 PM Florian Fontan <<a href="mailto:dev@florian-fontan.fr">dev@florian-fontan.fr</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
  
    
  
  <div bgcolor="#FFFFFF">
    <p>Thanks! Yes, it is very likely that I just misunderstand what the
      code is doing<br>
    </p>
    <p>I linked this article since it is the best branch-and-price
      published. But the previous state-of-the-art exact algorithm was
      already a branch-and-price
      <a class="gmail-m_4471015842363504275moz-txt-link-freetext" href="https://pubsonline.informs.org/doi/abs/10.1287/opre.45.6.831" target="_blank">https://pubsonline.informs.org/doi/abs/10.1287/opre.45.6.831</a> and
      the current one strongly relies on the Lagrangian relaxation
      <a class="gmail-m_4471015842363504275moz-txt-link-freetext" href="https://link.springer.com/article/10.1007/s10589-011-9432-0" target="_blank">https://link.springer.com/article/10.1007/s10589-011-9432-0</a></p>
    <p>Florian<br>
    </p>
    <div class="gmail-m_4471015842363504275moz-cite-prefix">Le 12/06/2019 à 23:07, Matthew Galati a
      écrit :<br>
    </div>
    <blockquote type="cite">
      
      <div dir="ltr">Yes, the bound at the root should be at least as
        good as the LP bound and yes, it is equal to the Lagrangian
        bound. If Ted has some time, maybe he can investigate. It sounds
        like the code might not be doing what you think it is doing.
        <div><br>
        </div>
        <div>As for "decomposition" working "well" on GAP... don't
          believe everything you read on OptOnline. :) </div>
      </div>
      <br>
      <div class="gmail_quote">
        <div dir="ltr" class="gmail_attr">On Wed, Jun 12, 2019 at 4:49
          PM Florian Fontan <<a href="mailto:dev@florian-fontan.fr" target="_blank">dev@florian-fontan.fr</a>> wrote:<br>
        </div>
        <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
          <div bgcolor="#FFFFFF">
            <p>I tested the default version, i.e. the one using
              Pisinger's algorithm to solve the knapsack sub-problems.<br>
            </p>
            <p>Decomposition techniques should work rather well for GAP.
              For example: <a class="gmail-m_4471015842363504275gmail-m_-6367385124288024322moz-txt-link-freetext" href="http://www.optimization-online.org/DB_FILE/2004/11/990.pdf" target="_blank">http://www.optimization-online.org/DB_FILE/2004/11/990.pdf</a><br>
            </p>
            <p>Furthermore, isn't the PC relaxation supposed to be at
              least as good as the linear relaxation? I though it was
              even supposed to be equal to the bound from the Lagrangian
              relaxation of the assignment constraints. I've implemented
              on my own the Lagrangian relaxation of the assignment
              constraints that I solved with Vol from COIN-OR, and it
              finds a lower bound of 1698 in 0.02s for instance a05100.
              And I'm sure that the problems are exactly the same.</p>
            <p>For the 1693 with doCut=1, it really seems to me that it
              may come from the non-implementation of the knapsack
              constraints in GAP_DecompApp.cpp</p>
            <p>      setModelRelax(NULL, modelName, i);</p>
            <p>I don't know if there's a reason why they are not added
              here whereas they are in GAP_DecompApp3.cpp</p>
            <p>Florian<br>
            </p>
            <div class="gmail-m_4471015842363504275gmail-m_-6367385124288024322moz-cite-prefix">Le
              12/06/2019 à 22:23, Matthew Galati a écrit :<br>
            </div>
            <blockquote type="cite">
              <div dir="ltr">Sure that can happen. It just means that
                the PC relaxation is too weak and that is a bad way to
                solve the problem. Is that with the KP oracle or the AP
                oracle? I would expect the bound using the KP oracle to
                be strong.
                <div><br>
                </div>
                <div>If you get 1693 with doDirect or doCut but 1698
                  with CBC, then either (a) there is a bug, or (b) you
                  are not creating the same model.</div>
              </div>
              <br>
              <div class="gmail_quote">
                <div dir="ltr" class="gmail_attr">On Wed, Jun 12, 2019
                  at 4:14 PM Florian Fontan <<a href="mailto:dev@florian-fontan.fr" target="_blank">dev@florian-fontan.fr</a>>
                  wrote:<br>
                </div>
                <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
                  <div bgcolor="#FFFFFF">
                    <p>Indeed! I didn't think to look there.</p>
                    <p>I managed to compile the GAP example. I tested on
                      instance a05100. This instance is solved optimally
                      by a naive implementation in CBC in 0.005s. The
                      optimal value is 1698 which is actually also the
                      upper bound from the linear relaxation. When I try
                      the GAP implementation given as example in Dip on
                      this instance (./decomp_gap --param gap.parm)</p>
                    <ul>
                      <li>with doPriceCut = 1, doCut = 0, doDirect = 0:
                        the lower bound found is 1556, no feasible
                        solution is found and the algorithm doesn't
                        terminate after at least several minutes</li>
                      <li>with doPriceCut = 0, doCut = 1, doDirect = 0
                        or doDirect = 1: the algorithm terminates very
                        quickly, returning a best lower bound and a best
                        upper bound of 1693. I think it may be the
                        solution of the problem with the capacity
                        constraints removed.</li>
                    </ul>
                    <p>Is this the expected behavior?</p>
                    <p>Florian<br>
                    </p>
                    <div class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119moz-cite-prefix">Le
                      11/06/2019 à 22:34, Matthew Galati a écrit :<br>
                    </div>
                    <blockquote type="cite">
                      <div dir="ltr">The Makefile gives some hints...
                        one case using the built-in MILP solver, one
                        case uses a KP solver.
                        <div><br>
                        </div>
                        <div>
                          <table class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-highlight gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-tab-size gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line-container">
                            <tbody style="box-sizing:border-box">
                              <tr style="box-sizing:border-box">
                                <td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC25" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap">
<table class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-highlight gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-tab-size gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line-container" style="box-sizing:border-box;border-collapse:collapse;border-spacing:0px;font-family:-apple-system,BlinkMacSystemFont,"Segoe UI",Helvetica,Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";font-size:14px;white-space:normal"><tbody style="box-sizing:border-box"><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L25" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC25" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>PC: oracle for KP solve is Pisinger, BranchEnforceInMaster</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L26" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC26" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-smi" style="box-sizing:border-box">OBJS</span>         += GAP_DecompApp.@OBJEXT@</td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L27" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC27" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-smi" style="box-sizing:border-box">CFLAGS</span>        = -DVERSION1</td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L28" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC28" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap">
</td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L29" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC29" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>TODO: BranchEnforceInSubProb using GAP_DecompApp2 or by option</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L30" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC30" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap">
</td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L31" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC31" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span> CPM/PC: built-in MILP solver, dense model build</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L32" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC32" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>   BranchEnforceInMaster or BranchEnforceInSubProb by option</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L33" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC33" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>OBJS         += GAP_DecompApp3.@OBJEXT@</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L34" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC34" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>CFLAGS  += -DVERSION3</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L35" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC35" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap">
</td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L36" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC36" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span> CPM/PC: built-in MILP solver, sparse model build</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L37" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC37" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>   BranchEnforceInMaster or BranchEnforceInSubProb by option</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L38" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC38" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>OBJS         += GAP_DecompApp4.@OBJEXT@</span></td></tr><tr style="box-sizing:border-box"><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-L39" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-num gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-line-number" style="box-sizing:border-box;padding:0px 10px;color:rgba(27,31,35,0.3);font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;line-height:20px;min-width:50px;text-align:right;vertical-align:top;white-space:nowrap;width:50px">


</td><td id="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-LC39" class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-blob-code-inner gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-js-file-line" style="box-sizing:border-box;padding:0px 10px;line-height:20px;vertical-align:top;font-family:SFMono-Regular,Consolas,"Liberation Mono",Menlo,Courier,monospace;font-size:12px;overflow:visible;white-space:pre-wrap"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box;color:rgb(106,115,125)"><span class="gmail-m_4471015842363504275gmail-m_-6367385124288024322gmail-m_-6113883389000557119gmail-pl-c" style="box-sizing:border-box">#</span>CFLAGS  += -DVERSION4</span></td></tr></tbody></table>

</td>
                              </tr>
                            </tbody>
                          </table>
                        </div>
                      </div>
                      <br>
                      <div class="gmail_quote">
                        <div dir="ltr" class="gmail_attr">On Tue, Jun
                          11, 2019 at 3:41 PM Florian Fontan <<a href="mailto:dev@florian-fontan.fr" target="_blank">dev@florian-fontan.fr</a>>
                          wrote:<br>
                        </div>
                        <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">Dear Dip
                          community,<br>
                          <br>
                          I am trying to get familiar with Dip and
                          understand how it works. Could <br>
                          someone tell me the differences between the
                          multiple DecompApp <br>
                          implementation examples for the Generalized
                          Assignment Problem?<br>
                          <a href="https://github.com/coin-or/Dip/tree/master/Dip/examples/GAP" rel="noreferrer" target="_blank">https://github.com/coin-or/Dip/tree/master/Dip/examples/GAP</a><br>
                          <br>
                          For example, in GAP_DecompApp.cpp, I noticed
                          that the setModelRelax call <br>
                          passes NULL as first argument:<br>
                          <br>
                               setModelRelax(NULL, modelName, i);<br>
                          <br>
                          whereas in GAP_DecompApp3.cpp, an other model
                          is defined:<br>
                          <br>
                               status = createModelPartKP(modelRelax,
                          i);<br>
                               modelName = "KP" + UtilIntToStr(i);<br>
                               setModelRelax(modelRelax, modelName, i);<br>
                          <br>
                          What does that mean? I haven't found any
                          documentation about it<br>
                          <br>
                          Florian<br>
_______________________________________________<br>
                          Dip mailing list<br>
                          <a href="mailto:Dip@list.coin-or.org" target="_blank">Dip@list.coin-or.org</a><br>
                          <a href="https://list.coin-or.org/mailman/listinfo/dip" rel="noreferrer" target="_blank">https://list.coin-or.org/mailman/listinfo/dip</a><br>
                        </blockquote>
                      </div>
                    </blockquote>
                  </div>
                </blockquote>
              </div>
            </blockquote>
          </div>
        </blockquote>
      </div>
    </blockquote>
  </div>

</blockquote></div>