$\min ω_{G}^{T C} {(T C_{G} - T)}^{2} + ω_{G}^{S T} {(S T_{G} - S T)}^{2} + ε_{G}^{T C} + ε_{G}^{S T}$	(1)
$T C_{G} = c_{f 1} + T C_{D 1} + T C_{D 2} + T C_{D 3}$	(2)
$S T_{G} = \max (S T_{i j}) (i = 1, 2, 3; j = 1, \dots, n)$	(3)
$S T_{V 1} - S T \geq 0, S T_{V 1}, S T \geq 0$ and int.	(4)
${(S T_{v 1} - \max {S T_{D 1}^{3}, S T_{D 2}^{3}, S T_{D 3}^{3}})}^{2} \leq ε_{G}^{S T}$	(5)
${(T C_{D, 1} - T C_{D, 1}^{3})}^{2} \leq ε_{G 1}^{T C}, {(T C_{D 2} - T C_{D 2}^{3})}^{2} \leq ε_{G 2}^{T C}, {(T C_{D 3} - T C_{D 3}^{3})}^{2} \leq ε_{G 3}^{T C}$	(6)
$T C_{D 1}, T C_{D 2}, T C_{D 3} \geq 0$	(7)
$d_{e i j} \leq \sum_{i, j = 1}^{n} q_{e i j} + q_{s i j}, d_{s i j} \leq \sum_{i, j = 1}^{n} q_{s i j}$	(8)
$d_{e i j} β + d_{s i j} (1 - β) = d_{G}, β = {\begin{cases} 1, online-order \\ 0, offline-order \end{cases}$	(9)
$\frac{q_{s i j}}{q_{e i j}} = 1$	(10)