Input data
sources for
Uster, H. and Dalal, J., “Strategic Emergency
Preparedness Network Design Integrating Supply and Demand Sides in a
Multi-Objective Approach,” IISE
Transactions, Vol. 49/4, pp. 395-413, 2017. (Featured in the ISE Magazine
in March 2017.)
A. Computational study data
Note: The link
to the problem data for “Network for
Emergency Evacuation and Distribution
of Supplies” (NEEDS) instances is given below. Please right click on the link and
click “Save Target As” to save it on your machine.
•
NEEDS Data Instances - NEEDS-DATASET.zip
All instance files are in
“*.txt” format.
Format:
1. There are 8 different
classes namely C1 to C8. Each class contains 5 network instances, and for each
of these, there are 2 data files containing randomly generated model
parameters. Therefore, each class contains 10 random test instances.
2. The network instances to
represent the geographical region consisting of the evacuation zone, the
potential shelter-opening zone, and the potential DC-opening zone, are named as
“c1_a1.txt” to “c8_a5.txt”.
3. The data files associated
with a network c(i)_a(j ).txt are named as c(i)_a(j )_n(k).txt, where i ∈ {1, ..., 8}, j ∈ {1, ..., 5}, and
k ∈
{1, 2}. Therefore, we have data files “c1_a1_n1.txt” to “c8_a5_n2.txt”.
4. The Table 1 below gives
the number of evacuation sources, shelters, and distribution centers (DC) in
each class.
Table 1: Problem Classes for Computational Study
Class |
Source
(|I|) |
Shelter
(|J|) |
DC (|K|) |
Total
(|N|) |
C1 |
2500 |
200 |
50 |
2750 |
C2 |
2500 |
200 |
60 |
2760 |
C3 |
2500 |
250 |
50 |
2800 |
C4 |
2500 |
250 |
60 |
2810 |
C5 |
3200 |
200 |
50 |
3450 |
C6 |
3200 |
200 |
60 |
3460 |
C7 |
3200 |
250 |
50 |
3500 |
C8 |
3200 |
250 |
60 |
3510 |
5. The legend used in the input
network files c1_a1.txt to c8_a5.txt are self-explanatory. Those are mentioned
in Table 2.
Table 2: Legends used in Network instance files
Symbol |
Details |
[HabitatNodelist :
loc_id,x,y] |
List of (x,y) coordinates of
all habitats (evacuation source)
nodes. |
[ShelterNodelist :
loc_id,x,y] |
List of (x,y) coordinates
of all candidate Shelter nodes. |
[DCNodelist : loc_id,x,y] |
List of (x,y) coordinates
of all candidate DC (supply) nodes. |
6. The legend used in the
data file are explained in Table 3.
Table 3: Legends used in data instance files
Symbol |
Details |
[Habitat
Population : i, pop_i] |
Population
at evacuation source i |
[Shelter
Population : j, pop_j] |
Population at candidate
Shelter j |
[Product
: id, demand per head, transport cost factor] |
For
each relief supply p, demand per evacuee, and unit DC-to-shelter
transportation cost |
[MaterialFlow_VarCost
: j,VC_ j] |
Variable cost at shelter j
to handle relief supplies from DC |
[DC
Inv Holding Capacity : k,p,S {k,p}] |
Capacity
of DC k to hold inventory of relief item p |
[DC
Opening Cost : k, f_k] |
Fixed cost of opening DC at
k |
q_{j,l} |
Number
of evacuees who can get accommodation within level l of shelter j |
f_{j,l} |
Fixed cost of opening a
shelter at j with capacity level l |
VC_{j,l} |
Variable
cost to serve evacuees in level l of shelter j |
Figure 1: Setting for test instance generation
B.
Case study data
For the case study discussed
in Section 6 of the paper, we use publicly available GIS data as shown in Table
4.
Table 4: Data used in case study with sources
Data |
Source |
Census 2010 population data
for each evacuation origin (block-group level) and each candidate shelter
(county level) |
www. socialexplorer.com |
Census 2010 TIGER/Line GIS
shapefiles having “block-group” and “county” as geographic units to construct
the evacuation, shelter and DC zones as given in Table 4. |
www.census.gov |
We use the following counties
given in Table 5, to construct the evacuation, shelter, and DC zones
respectively.
Table 5: Counties considered in three zones in our GIS
case study
Evacuation
Zone |
Shelter
Zone |
DC Zone |
Selected block groups of
the following 5 counties, closely resembling the evacuation map by Texas DPS:
Brazoria, Chambers, Galveston, Harris, Matagorda. |
Anderson, Angelina,
Bastrop, Bell, Bexar*, Blanco,
Bosque, Brazos*, Burleson, Burnet, Caldwell, Cherokee, Comal, Coryell, Dallas*, Ellis, Falls, Freestone,
Gillespie, Gregg, Guadalupe, Hamilton, Harrison, Hays, Henderson,
Hill, Houston, Johnson, Kaufman, Kendall, Lampasas, Lee,
Leon, Limestone, Llano, Madison, Mason, McLennan*, Milam, Mills, Nacogdoches*,
Navarro, Panola, Robertson, Rusk,
San Saba, Shelby, Smith*,
Tarrant*, Travis*, Trinity, Upshur, Vanzandt, Walker*,
Williamson, Wood. (56 counties) |
Archer, Baylor, Bowie,
Brewster, Callahan, Clay, Coke,
Cooke, Crane, Crockett, Edwards, Fannin,
Fisher, Glasscock, Grayson, Haskell, Howard, Irion,
Jones, Kinney, Knox, Lamar,
Martin, Maverick, Midland, Mitchell, Montague, Nolan, Pecos,
Reagan, Real, Red river, Schleicher, Scurry, Shackelford, Sterling,
Stonewall, Sutton, Taylor, Terrell, Throckmorton, Tomgreen, Upton, Uvalde,
Val verde, Wichita, Young, Zavala. (48 counties) |
Source of evacuation: Centroid of Block Group. |
Candidate Shelter: Centroid of County. |
Candidate DC:
Centroid of County. |
*Counties considered as shelters in the “State
Evacuation and Sheltering Plan” (Texas, 2006)
Case study
Source
ID (i) |
x |
y |
Zone |
Col
1: source node ID (i)
Col 2:
longitude (x) of source node i
Col
3: latitude (y) of source node i
Col
4: which zone source node “i” belongs to: Coast/A/B/C.
Source
ID (i) |
Population |
Col 1:
source node ID (i)
Col
2: source node i’s population (census 2010)
Shelter
ID (j) |
x |
y |
Col
1: shelter node ID (j)
Col
2: longitude (x) of shelter node j
Col 3:
latitude (y) of shelter node j
Shelter
ID (j) |
Population
(pop_j) |
VC^M_{j} |
Col
1: shelter node ID (j)
Col
2: shelter node j’s population (census 2010)
Col 3:
variable cost for relief handling at shelter j
·
5-Shelter-Capacity-Cost.xlsx
Capacity_Level
(l) |
Shelter
ID (j) |
Capacity
(q_{jl}) |
Fixed
Cost (f_{jl}) |
Variable
Cost (vc_{jl}) |
Col
1: shelter capacity level (l): small (1) / medium (2) / large (3)
Col
2: shelter node ID (j)
Col
3: capacity of the shelter at level “l”.
Col
4: fixed cost of opening shelter “j” at capacity level “l”
Col
5: variable cost of operating shelter “j” at capacity level “l”
DC ID |
x |
y |
Col
1: DC node ID (k)
Col
2: longitude (x) of DC node k
Col
3: latitude (y) of DC node k
DC ID
(k) |
fixed
cost (f_k) |
Col
1: DC node ID (k)
Col
2: fixed cost of opening DC at node “k”
DC ID
(k) |
Relief
Item ID (p) |
Capacity,
S_{kp} |
Col
1: DC node ID (k)
Col
2: relief item ID (p)
Col
3: capacity of DC “k” to store relief item “p”
(p) |
Per
Head Demand |
unit
transportation cost |
Col
1: relief item ID (p)
Col
2: per head demand for item “p”
Col 3:
Unit transportation cost for item “p” ($/unit-mile)
Unit
Transportation Cost for evacuees, α
Col
1: unit transportation cost of evacuees ($/person-mile)