DTIC ADA220529: Frequency Assignments for HFDF Receivers in a Searc... | |
by Defense Technical Information Center | |
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This thesis applies a multiobjective linear programming | |
approach to the problem of assigning frequencies to HFDF | |
receivers in a search-and-rescue network in order to | |
maximize the expected number of geolocations of vessels | |
in distress. The problem is formulated as a | |
multiobjective integer linear programming problem. The | |
integrality of the solutions is guaranteed by the totally | |
unimodularity of the A-matrix. Two approaches are taken | |
to solve the multiobjective linear programming problem. | |
1) The multiobjective simplex method as implemented in | |
ADBASE; and 2) An iterative approach. In this approach, | |
the individual objective functions are weighted and | |
combined in a single additive objective function. The | |
resulting single objective problem is expressed as a | |
network programming problem and solved using SAS NETFLOW. | |
The process is then repeated with different weightings | |
for the objective functions. The solutions obtained from | |
the multiobjective linear programs are evaluated using a | |
FORTRAN program to determine which solution provides the | |
greatest expected number of geolocations. This solution | |
is then compared to the sample mean and standard | |
deviation for the expected number of geolocations | |
resulting from 10,000 random frequency assignments for | |
the network. The best solution obtained using the | |
multiobjective integer linear programming approach | |
provided an approximate expected number of geolocations | |
that was more than 13 standard deviations better than the | |
mean approximate expected number of geolocations obtained | |
from 10,000 randomly frequency assignments. Thus, the | |
solutions obtained using this approach are significantly | |
better than could be expected from an arbitrary frequency | |
assignment. Theses. (edc) | |
Date Published: 2018-02-25 17:42:06 | |
Identifier: DTIC_ADA220529 | |
Item Size: 40148685 | |
Language: english | |
Media Type: texts | |
# Topics | |
DTIC Archive; Johnson, Krista E ; AIR... | |
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