Difference: IntegerProgramming (10 vs. 11)

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META TOPICPARENT name="MathematicalProgramming"
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  • The linear programme solution is an integer solution with a better objective value than the incumbent. The incumbent is replaced with this new solution;
  • The linear programme solution has a worse objective than the incumbent. Any nodes created from this node will also have a worse objective than the incumbent. This node is bounded by the incumbent objective;
  • The linear programme solution is fractional and has a better objective value than the incumbent. Further branching from this node is necessary to ensure an optimal solution is found.
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  • A Tie? - Cam
  Only the last condition requires more branching, all the other conditions result in the node becoming fathomed and no more branching is required from that node.
 
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