A Branch-and-Price Approach for a Ship Routing Problem ... - gerad
A Branch-and-Price Approach for a Ship Routing Problem ... - gerad
A Branch-and-Price Approach for a Ship Routing Problem ... - gerad
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Mathematical Formulation (3)<br />
∑∑<br />
v∈Vr∈R<br />
∑<br />
r∈R<br />
c<br />
*<br />
v<br />
c<br />
*<br />
v<br />
T<br />
T<br />
C<br />
imc<br />
C<br />
imc<br />
*<br />
v<br />
r<br />
*<br />
v<br />
r<br />
λ<br />
λ<br />
Time (un)loading starts at (i,m)<br />
in schedule r, first compartment<br />
c<br />
*<br />
v<br />
r<br />
c<br />
*<br />
v<br />
r<br />
−<br />
Time (un)loading starts at (i,m)<br />
in schedule r, first compartment<br />
−<br />
r∈R<br />
s∈S<br />
∑<br />
∑<br />
c<br />
ig<br />
T<br />
T<br />
C<br />
imcr<br />
HG<br />
imgs<br />
λ<br />
θ<br />
cr<br />
igs<br />
=<br />
= 0<br />
0<br />
∀i,<br />
m,<br />
g<br />
Time (un)loading starts at (i,m)<br />
in sequence s<br />
∀v,<br />
i,<br />
m,<br />
c<br />
Time (un)loading starts at (i,m)<br />
in schedule r, compartment c<br />
13
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