Difference: MasterSlaveConstraints (5 vs. 6)

Revision 62018-11-23 - TWikiAdminUser

Line: 1 to 1
 
META TOPICPARENT name="IntegerProgramming"

Master-Slave Constraints

Using zero/one variables, we can control the range of values that other variables take. Suppose that $x_{AB}$ (the amount shipped from $A$ to $B$) is either 0 (we don't ship from $A$ to $B$) or between 20 and 100 (we ship from $A$ to $B$ with limits specified by the transportation company). We introduce a new binary (0-1) variable $z_{AB}$ that is 1 if there is a shipment from $A$ to $B$ and 0 otherwise. Then we can use master-slave constraints to let $z_{AB}$ control $x_{AB}$

 \begin{align*} x_{AB} &\geq 20 z_{AB} \\ x_{AB} &\leq 100 z_{AB} \end{align*}

Master-Slave Constraint Topics

To see master-slave constraints in action, check out some case studies that use them:

Results from OpsRes web retrieved at 22:55 (GMT)

<--/twikiTopRow-->
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
<--/twikiSummary-->
<--/twikiBottomRow-->
<--/patternSearchResult-->
<--/twikiTopRow-->
\usepackage{amsmath} Case Study: Submitted: Operations Research Topics: Application Areas: Contents Problem Description Problem Description Return...
<--/twikiSummary-->
<--/twikiBottomRow-->
<--/patternSearchResult-->
Number of topics: 2
<--/patternSearchResultCount-->

-- TWikiAdminGroup - 22 Apr 2008

Changed:
<
<
META FILEATTACHMENT attachment="latex938f9b83ca588bce50b56fcc62078523.png" attr="h" comment="" date="1208859527" name="latex938f9b83ca588bce50b56fcc62078523.png" stream="GLOB(0x90bc6c4)" tmpFilename="latex938f9b83ca588bce50b56fcc62078523.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latexdaf73a2449ad38947a2e16418aa189e9.png" attr="h" comment="" date="1208859527" name="latexdaf73a2449ad38947a2e16418aa189e9.png" stream="GLOB(0x90bc6ac)" tmpFilename="latexdaf73a2449ad38947a2e16418aa189e9.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex72fbe6122638434b92c349cf7429b824.png" attr="h" comment="" date="1208859527" name="latex72fbe6122638434b92c349cf7429b824.png" stream="GLOB(0x90bc5bc)" tmpFilename="latex72fbe6122638434b92c349cf7429b824.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex3bfccbf8b33971c089e8242422aa5f29.png" attr="h" comment="" date="1208859527" name="latex3bfccbf8b33971c089e8242422aa5f29.png" stream="GLOB(0x90bc5a4)" tmpFilename="latex3bfccbf8b33971c089e8242422aa5f29.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latexfc3cf4c252fc6e48d5c117afd5bc7922.png" attr="h" comment="" date="1252306161" name="latexfc3cf4c252fc6e48d5c117afd5bc7922.png" stream="GLOB(0x9e79490)" tmpFilename="latexfc3cf4c252fc6e48d5c117afd5bc7922.png" user="BaseUserMapping_333" version="1"
>
>
META FILEATTACHMENT attachment="latexe42d18c1707004b3bd1531889039d0d3.png" attr="h" comment="" date="1542935674" name="latexe42d18c1707004b3bd1531889039d0d3.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex729cc46c89ce2f5501a9264b966a8d32.png" attr="h" comment="" date="1542935674" name="latex729cc46c89ce2f5501a9264b966a8d32.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex977d01b7742fc5510cbf33210187225f.png" attr="h" comment="" date="1542935674" name="latex977d01b7742fc5510cbf33210187225f.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex56b7058686b0783b21bb077b43e2dec9.png" attr="h" comment="" date="1542935674" name="latex56b7058686b0783b21bb077b43e2dec9.png" user="BaseUserMapping_333" version="1"
META FILEATTACHMENT attachment="latex2940b95d6236d230b22177652c5051fd.png" attr="h" comment="" date="1542935674" name="latex2940b95d6236d230b22177652c5051fd.png" user="BaseUserMapping_333" version="1"
 
This site is powered by the TWiki collaboration platform Powered by PerlCopyright © 2008-2023 by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
Ideas, requests, problems regarding TWiki? Send feedback