Geoscience Reference
In-Depth Information
Table 15.4
Total
operational costs,
completion time functions,
and the optimal flows on
links in the variant
f
a
*
Link
c
a
f ðÞ
^
˄
a
(
f
a
)
3
f
1
2
+2
f
1
1
0
12.02
2
f
2
2
+ 2.5
f
2
2
0
11.21
5
f
3
2
+4
f
3
3
.1
f
3
+ 1
7.35
4.5
f
4
2
+3
f
4
4
.1
f
4
+ 1
8.88
f
5
2
+2
f
5
5
0
12.02
f
6
2
+.5
f
6
6
0
11.21
2.5
f
7
2
+3
f
7
7
0
12.02
3.5
f
8
2
+2
f
8
8
0
11.21
7
f
9
2
+5
f
9
9
2
f
9
+ 2
19.37
4
f
10
2
+6
f
10
10
10
f
10
+ 6
0.00
2.5
f
11
2
+4
f
11
11
7.5
f
11
+ 5
0.24
4.5
f
12
2
+5
f
12
12
1.5
f
12
+ 1.5
19.86
2
f
13
2
+4
f
13
13
2
f
13
+ 2
19.37
f
14
2
+3
f
14
14
1.5
f
14
+ 1
20.10
4
f
15
2
+5
f
15
15
3
f
15
+ 3
14.04
2.5
f
16
2
+2
f
16
16
5
f
16
+ 4
5.33
3
f
17
2
+4
f
17
17
6.5
f
17
+ 3
0.00
4
f
18
2
+4
f
18
18
7
f
18
+ 5
6.84
3
f
19
2
+3
f
19
19
4
f
19
+ 5
5.72
3.5
f
20
2
+5
f
20
3.5
f
20
+ 4
20
7.53
Hence, with the new data (and decision to procure locally) the organization should
engage in both strategies. The optimal solution suggests to the organization how
much of the relief good should be stored and in which location and how much
should also be procured (and from where) once the disaster strikes.
Summary and Conclusions
In this paper, we developed a network optimization model for the supply chain
management of a disaster relief (humanitarian) organization in charge of pro-
curement and distribution of relief items to a geographic region prone to natural
disasters such as earthquakes or hurricanes.
Our proposed framework spans such activities associated with disaster relief
supply chains as the pre-disaster procurement, shipment, storage, post-disaster
procurement, transportation, and processing, and the ultimate distribution of aid
items to the people in need. Our system-optimization approach minimizes the
total operational costs of the aforementioned activities subject to the uncertain
demand being satisfied as closely as possible. We also utilized goal program-
ming to minimize the time deviations on paths with respect
to the
pre-determined time targets for deliveries.
The disaster relief supply chain network model has the following features:
•
it allows for the integration of two distinct policies by disaster relief
organizations, one being pre-positioning the supplies beforehand, as well as
the procurement of necessary items once the disaster has occurred;
