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Supply Chain Management and Logistics
book

Supply Chain Management and Logistics

by Zhe Liang, Wanpracha Art Chaovalitwongse, Leyuan Shi
October 2018
Intermediate to advanced content levelIntermediate to advanced
288 pages
9h 1m
English
CRC Press
Content preview from Supply Chain Management and Logistics
168 Supply Chain Management and Logistics
x
jm
jM
o
=
1 (6.34)
xx
iM
ij
jM
ji
jM∈∈
∑∑
−=∀∈
0,
(6.35)
bHBx
iM
ii
ij
jM
≤∀
min{ ,} , (6.36)
bH
i
iM
(6.37)
x
ij
{0,1}, b
i
≥ 0 i, j M. (6.38)
Here, we assume α
ot
= β
ot
= 0 for the consistency. The objective function in
Equation 6.32 minimizes the reduced cost of the schedule. The constraints
in Equations 6.33 through 6.35 are the ow balance constraints for the route.
The constraints in Equation 6.36 ensure the delivered inventory b
i
can be
positive only if customer i is visited. The constraints in Equation 6.37 are
the capacity constraints. Although the objective function in Equation 6.32 is
quadratic, it can be linearized as follows:
min( )
,
cx b
ij it ij it it i
iMij M
−− +
∈∈
∑∑
αβ
γ
()
(6.39)
Here, we p ...
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Publisher Resources

ISBN: 9781466577886