Geoscience Reference
In-Depth Information
Procurement
Links
Transportation
Link
s
Storage
Links
Transportation
Links
Processing
Links
Distribution
Links
3
9
15
S
1
,
1
S
1
,
2
C
1
A
1
B
1
R
1
5
7
10
13
16
17
1
Haiti
1
Demand
Points
Organiz
ati
on
18
19
20
Dominican Republic
2
6
8
11
14
S
2
,
1
S
2
,
2
C
2
A
2
B
2
R
2
12
4
Fig. 15.5
Network topology of the larger disaster relief supply chain numerical example
East—and the other one in Florida—the closest state to the Caribbean. Each of the
two zones is assumed to possess a single procurement facility, a single storage
facility, and a single departure portal.
Both locations have the ability to start procuring the relief goods after an
earthquake strikes when and if the need arises (links 3 and 4). These procured/
purchased goods at the zones are directly sent to their respective departure portals
bypassing the storage phase. Next, from these departure facilities, the collected
items—whether pre-positioned beforehand or just procured—are sent via air or sea
to the affected region. We assumed that the facility
S
1,2
—hypothetically,
Maryland—would cover the arrival facility
A
1
in Haiti, and the facility
S
2,2
would
serve the arrival port
A
2
in the Dominican Republic. Links 9 and 12 represent air
transportation whereas links 10 and 11 correspond to marine transportation.
After the arrived cargo is sorted and processed, relief items are distributed to the
points of demand,
R
1
and
R
2
, both located in Haiti. Links 15 and 20 correspond to
the distribution of goods by helicopter, whereas links 16 through 19 represent
ground distribution. Note that we allow for each of the two processing facilities
located in Haiti and the Dominican Republic, i.e.,
B
1
and
B
2
, to ship to both of the
two demand points in Haiti.
Now we present the available information as well as the solution to the problem.
For purposes of transparency and reproducibility, we provide both the input and the
output data.
Table
15.2
presents the total operational cost functions and completion time
functions corresponding to the 20 links of the network. Similar to the illustrative
example and its variants, the completion time functions on links 1, 2, 5, 6, 7, 8—
pre-disaster procurement, transportation and storage—are set equal to zero since
these activities are assumed to have been completed before the occurrence of the
disaster.
There are 24 paths in the supply chain network connecting node 1 to the two
demand points. The set of paths connecting the origin to demand points
R
1
and
R
2
,
respectively, are denoted by
P
R
1
and
P
R
2
, and each contains 12 paths as shown in
Table
15.3
.
