Geoscience Reference
In-Depth Information
location decisions (i.e.,
P
j2J
OC
j
). Variable costs account for resource expansion
and for material procurement, production, and distribution. In addition, penalty costs
are incurred to unfilled demand.
.P
1
/ Minimize
X
i2N
FC
i
y
i
C
X
i2E
SC
i
.1
y
i
/
C
X
i2I
OC
i
y
i
C
X
j2J
OC
j
C
X
m2M
MC
m
w
m
C
X
h2H
HC
h
w
h
C
X
`2L
X
BC
`p
s
`p
C
X
`2L
X
PC
`p
z
`p
p2P
p2P
C
X
`2L
X
X
TC
``
0
p
x
``
0
p
C
X
`2L
X
DC
`p
u
`p
(16.1)
`
0
2Lnf`g
p2P
p2P
subject to s
`p
C
X
`
0
2Lnf`g
x
`
0
`p
C
z
`p
D
X
Ǜ
`pq
z
`q
C
X
`
0
2Lnf`g
x
``
0
p
C
d
`p
u
`p
; `
2
L; p
2
P
q2P
(16.2)
X
X
`mp
z
`p
KM
m
C
w
m
; m
2
M
(16.3)
`2L
p2P
O
`
hp
C
`
0
hp
x
``
0
p
X
X
`
hp
s
`p
C
X
`2L
X
X
`2L
p2P
`
0
2Lnf`g
p2P
KH
h
C
w
h
; h
2
H
(16.4)
0
w
m
EM
m
; m
2
M
(16.5)
0
w
h
EH
h
; h
2
H
(16.6)
0
u
`p
d
`p
; `
2
L; p
2
P
(16.7)
0
s
ip
M
y
i
; i
2
I; p
2
P
(16.8)
0
z
ip
M
y
i
; i
2
I; p
2
P
(16.9)
0
x
i`p
M
y
i
; i
2
I; `
2
L
nf
i
g
;p
2
P
(16.10)
0
x
`
ip
y
i
; `
2
L
nf
i
g
;i
2
I; p
2
P (16.11)
s
jp
0;
z
jp
0; x
jj
0
p
0; j;j
0
2
J.j
¤
j
0
/; p
2
P
(16.12)
M
y
i
2f
0;1
g
; i
2
I:
(16.13)
Constraints (
16.2
) are the usual flow balance equations. The inbound flow of
an item to a facility consists of procuring or producing the item at the facility or
