Linear optimization for ecological indices based on aggregation functions
Information Processing and Management of Uncertainty in Knowledge-Based …, 2016•Springer
We consider an optimization problem in ecology where our objective is to maximize
biodiversity with respect to different land-use allocations. As it turns out, the main problem
can be framed as learning the weights of a weighted arithmetic mean where the objective is
the geometric mean of its outputs. We propose methods for approximating solutions to this
and similar problems, which are non-linear by nature, using linear and bilevel techniques.
biodiversity with respect to different land-use allocations. As it turns out, the main problem
can be framed as learning the weights of a weighted arithmetic mean where the objective is
the geometric mean of its outputs. We propose methods for approximating solutions to this
and similar problems, which are non-linear by nature, using linear and bilevel techniques.
Abstract
We consider an optimization problem in ecology where our objective is to maximize biodiversity with respect to different land-use allocations. As it turns out, the main problem can be framed as learning the weights of a weighted arithmetic mean where the objective is the geometric mean of its outputs. We propose methods for approximating solutions to this and similar problems, which are non-linear by nature, using linear and bilevel techniques.
Springer
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