wolf - michelemilesi/sparkdor GitHub Wiki

$\min\left\|X\right\|$

$X=\{x_0,...,x_n|x_i=$m_i^l,s_i^l,w_i^l,v_i^l,m_i^r,s_i^r,w_i^r,v_i^r$\}$

Subject to

1) $m_i^l,s_i^l,w_i^l,v_i^l,m_i^r,s_i^r,w_i^r,v_i^r \in \{0,1\}$

2) $m_i^l+m_i^r=1 \, \forall i$

3) $s_i^l+s_i^r=1 \, \forall i$

4) $w_i^l+w_i^r=1 \, \forall i$

5) $v_i^l+v_i^r=1 \, \forall i$

6) $s_i^l w_i^l = m_i^l \, \forall i$

7) $s_i^r w_i^r = m_i^r \, \forall i$

8) $\left | \frac{( s_i^l - s_{i+1}^l + w_i^l - w_{i+1}^l + v_i^l - v_{i+1}^l)- ( s_i^r - s_{i+1}^r + w_i^r - w_{i+1}^r + v_i^r -v_{i+1}^r)}{2} \right | /2 \leq 1 \, \forall i$

8) $x_0=(1,1,1,1,0,0,0,0)$

7) $x_n=(0,0,0,0,1,1,1,1)$