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)