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DTIC ADA220529: Frequency Assignments for HFDF Receivers in a Searc...
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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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