min ω D 1 T C ( T C D 1 − T C ) 2 + ω D 1 S T ( S T D 1 − S T ) 2 + ε D j T C + ε D 1 S T
(11)
T C D 1 = c D 1 [ d e D j β + d s D j ( 1 − β ) ] + m [ d e D j β + d s D j ( 1 − β ) ] p D 1 s D 1 + T C R 1 + T C R 2
(12)
S T D 1 = max ( S T i j ) ( i = 2 , 3 ; j = 1 , 2 , ⋯ , n )
(13)
∑ S O D 1 ∈ S D 1 c D 1 S O D 1 y D 1 , S O D 1 − c D 1 S O D 1 = 0
(14)
∑ S O D 1 ∈ S D 1 p D 1 S O D 1 y D 1 , S O D 1 − p D 1 S O D 1 = 0
(15)
y D 1 , S O D 1 = { 1 selected 0 not selected and ∑ S O D 1 ∈ S D 1 y D 1 , S O D 1 = 1
(16)
z D j = { 0 not selected , d D j = 0 1 selected , d D j ≠ 0 ( j = 1 , 2 )
(17)
d e D = ∑ j = 1 2 z D j d e D j , d s D = ∑ j = 1 2 z D j d s D j
(18)
1 ≤ ∑ z D j ≤ 2
(19)
S T V D 1 − S T D 1 ≥ 0 , S T V D 1 , S T D 1 ≥ 0 and int.
(20)
T C S 1 , T C S 2 ≥ 0
(21)
( T C S , 1 − T C S , 1 4 ) 2 ≤ ε D 1 T C , ( T C S , 2 − T C S , 2 4 ) 2 ≤ ε D 2 T C
(22)
( S T v D 1 − max { S T S 1 4 , S T S 2 4 } ) 2 ≤ ε S 1 S T
(23)
d e D j ≤ q e D j + q s D j , d s D j ≤ q s D j
(24)
d e D j β + d s D j ( 1 − β ) = d D j , β = { 1 , online-order 0 , offline-order
(25)
q s D j q e D j = 1
(26)