Hazem09

PL

Apr 22nd, 2022 (edited)
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Latex 0.65 KB | None | 0 0
  1. \begin{center}
  2.    
  3. $
  4. P.L=
  5. \begin{cases}
  6. min \hspace{5pt} \sum\limits_{i=1}^{n} \sum\limits_{j=1}^{n} d_{i,j} x_{i,j},\\
  7. \text{s.c.} \\
  8. \hspace{30pt} \sum\limits_{i=1}^{n} x_{i,j}=1, \hspace{50pt} j=1,...,n, \hspace{150pt} (1.1)\\
  9. \hspace{30pt} \sum\limits_{j=1}^{n} x_{i,j}=1, \hspace{50pt} i=1,...,n, \hspace{150pt} (1.2)\\
  10. \hspace{30pt} \sum\limits_{i \in V} \sum\limits_{j \in V} x_{i,j} \leq  \lvert V \rvert -1 ,\hspace{10pt} V \subset \left \{ 1,...,n \right \},2\leq \lvert V \rvert \leq n-2,\hspace{35pt} (1.3) \\
  11. \\
  12. \hspace{30pt} x_{i,j} \in \left\{ 0,1 \right \}, \hspace{20pt} \forall (i,j) \in S^2.
  13. \end{cases}
  14. $
  15.  
  16. \end{center}
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