<?xml version="1.0" encoding="UTF-8"?>
<rss xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:taxo="http://purl.org/rss/1.0/modules/taxonomy/" version="2.0">
  <channel>
    <title>topic Avoid zeros in input-data in Mathematical Optimization, Discrete-Event Simulation, and OR</title>
    <link>https://communities.sas.com/t5/Mathematical-Optimization/Avoid-zeros-in-input-data/m-p/203146#M1046</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Hello,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Is it possible to avoid zeros in input-datasets for proc optmodel?&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;A simple example would look like this. In this case I would like to get rid of P1/R3, P2/R1, P3/R3 in "M_Qty".&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Data A;&lt;BR /&gt;&amp;nbsp; Input Prod $ Comp $ Qty;&lt;BR /&gt;&amp;nbsp; Datalines;&lt;BR /&gt;P1 R1 0.8&lt;BR /&gt;P1 R2 0.2&lt;BR /&gt;P1 R3 0&lt;BR /&gt;P2 R1 0&lt;BR /&gt;P2 R2 0.5&lt;BR /&gt;P2 R3 0.5&lt;BR /&gt;P3 R1 0.2&lt;BR /&gt;P3 R2 0.8&lt;BR /&gt;P3 R3 0&lt;BR /&gt;;&lt;BR /&gt;Run;&lt;/P&gt;&lt;P&gt;Data B;&lt;BR /&gt;&amp;nbsp; Input Comp $ Price;&lt;BR /&gt;&amp;nbsp; Datalines;&lt;BR /&gt;R1 20&lt;BR /&gt;R2 30&lt;BR /&gt;R3 50&lt;BR /&gt;;&lt;BR /&gt;Run;&lt;/P&gt;&lt;P&gt;Proc Optmodel;&lt;BR /&gt;&amp;nbsp; Set &amp;lt;Str,Str&amp;gt; p_c;&lt;BR /&gt;&amp;nbsp; Num M_Qty{p_c};&lt;BR /&gt;&amp;nbsp; Read Data A Into p_c=[Prod Comp] M_Qty=Qty;&lt;BR /&gt;&amp;nbsp; Set Products = SetOf{&amp;lt;p,c&amp;gt; in p_c} p;&lt;BR /&gt;&amp;nbsp; Set Components = SetOf{&amp;lt;p,c&amp;gt; in p_c} c;&lt;BR /&gt;&amp;nbsp; Num M_Price{Components};&lt;BR /&gt;&amp;nbsp; Read Data B Into [Comp] M_Price=Price;&amp;nbsp; &lt;BR /&gt;&amp;nbsp; Var X{Products} &amp;gt;=0;&lt;BR /&gt;&amp;nbsp; Con Cns1:Sum{p in Products,c in Components} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;BR /&gt;&amp;nbsp; Con Cns2{c in Components:c="R1"}:Sum{p in Products} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;BR /&gt;&amp;nbsp; Min Obj=Sum {p in Products, c in Components} M_Qty[p,c]*M_Price&lt;C&gt;*X&lt;/C&gt;&lt;/P&gt;&lt;P&gt;;&lt;BR /&gt;&amp;nbsp; Solve;&lt;BR /&gt;&amp;nbsp; Print M_Qty; &lt;BR /&gt;Quit;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Thanks&amp;amp;kind regards&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Wed, 15 Jul 2015 09:23:43 GMT</pubDate>
    <dc:creator>user24feb</dc:creator>
    <dc:date>2015-07-15T09:23:43Z</dc:date>
    <item>
      <title>Avoid zeros in input-data</title>
      <link>https://communities.sas.com/t5/Mathematical-Optimization/Avoid-zeros-in-input-data/m-p/203146#M1046</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Hello,&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Is it possible to avoid zeros in input-datasets for proc optmodel?&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;A simple example would look like this. In this case I would like to get rid of P1/R3, P2/R1, P3/R3 in "M_Qty".&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Data A;&lt;BR /&gt;&amp;nbsp; Input Prod $ Comp $ Qty;&lt;BR /&gt;&amp;nbsp; Datalines;&lt;BR /&gt;P1 R1 0.8&lt;BR /&gt;P1 R2 0.2&lt;BR /&gt;P1 R3 0&lt;BR /&gt;P2 R1 0&lt;BR /&gt;P2 R2 0.5&lt;BR /&gt;P2 R3 0.5&lt;BR /&gt;P3 R1 0.2&lt;BR /&gt;P3 R2 0.8&lt;BR /&gt;P3 R3 0&lt;BR /&gt;;&lt;BR /&gt;Run;&lt;/P&gt;&lt;P&gt;Data B;&lt;BR /&gt;&amp;nbsp; Input Comp $ Price;&lt;BR /&gt;&amp;nbsp; Datalines;&lt;BR /&gt;R1 20&lt;BR /&gt;R2 30&lt;BR /&gt;R3 50&lt;BR /&gt;;&lt;BR /&gt;Run;&lt;/P&gt;&lt;P&gt;Proc Optmodel;&lt;BR /&gt;&amp;nbsp; Set &amp;lt;Str,Str&amp;gt; p_c;&lt;BR /&gt;&amp;nbsp; Num M_Qty{p_c};&lt;BR /&gt;&amp;nbsp; Read Data A Into p_c=[Prod Comp] M_Qty=Qty;&lt;BR /&gt;&amp;nbsp; Set Products = SetOf{&amp;lt;p,c&amp;gt; in p_c} p;&lt;BR /&gt;&amp;nbsp; Set Components = SetOf{&amp;lt;p,c&amp;gt; in p_c} c;&lt;BR /&gt;&amp;nbsp; Num M_Price{Components};&lt;BR /&gt;&amp;nbsp; Read Data B Into [Comp] M_Price=Price;&amp;nbsp; &lt;BR /&gt;&amp;nbsp; Var X{Products} &amp;gt;=0;&lt;BR /&gt;&amp;nbsp; Con Cns1:Sum{p in Products,c in Components} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;BR /&gt;&amp;nbsp; Con Cns2{c in Components:c="R1"}:Sum{p in Products} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;BR /&gt;&amp;nbsp; Min Obj=Sum {p in Products, c in Components} M_Qty[p,c]*M_Price&lt;C&gt;*X&lt;/C&gt;&lt;/P&gt;&lt;P&gt;;&lt;BR /&gt;&amp;nbsp; Solve;&lt;BR /&gt;&amp;nbsp; Print M_Qty; &lt;BR /&gt;Quit;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;Thanks&amp;amp;kind regards&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Wed, 15 Jul 2015 09:23:43 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Mathematical-Optimization/Avoid-zeros-in-input-data/m-p/203146#M1046</guid>
      <dc:creator>user24feb</dc:creator>
      <dc:date>2015-07-15T09:23:43Z</dc:date>
    </item>
    <item>
      <title>Re: Avoid zeros in input-data</title>
      <link>https://communities.sas.com/t5/Mathematical-Optimization/Avoid-zeros-in-input-data/m-p/203147#M1047</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;You can use data set options in the READ DATA statement:&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp; Read Data A(where=(Qty ne 0)) Into p_c=[Prod Comp] M_Qty=Qty;&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;And then change your constraint and objective declarations to use the sparse set p_c:&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp; Con Cns1:Sum{&amp;lt;p,c&amp;gt; in p_c} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;/P&gt;&lt;P&gt;&amp;nbsp; Con Cns2{c in Components:c="R1"}:Sum{&amp;lt;p,(c)&amp;gt; in p_c} X&lt;/P&gt;&lt;P&gt;*M_Qty[p,c]&amp;gt;=5;&lt;/P&gt;&lt;P&gt;&amp;nbsp; Min Obj=Sum {&amp;lt;p,c&amp;gt; in p_c} M_Qty[p,c]*M_Price&lt;C&gt;*X&lt;/C&gt;&lt;/P&gt;&lt;P&gt;;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Wed, 15 Jul 2015 13:15:12 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Mathematical-Optimization/Avoid-zeros-in-input-data/m-p/203147#M1047</guid>
      <dc:creator>RobPratt</dc:creator>
      <dc:date>2015-07-15T13:15:12Z</dc:date>
    </item>
  </channel>
</rss>

