OPTIMIZATION WITH BIOGEOGRAPHY-BASED OPTIMIZATION AND ITS APPLICATIONS IN SYSTEM OF NONLINEAR EQUATIONS
Abstract The Biogeography-Based Optimization (BBO) optimization method is an optimization method inspired by the concept of biogeography which is used to solve optimization problems. Apart from solving optimization problems, BBO can also be used to find initial values which are then used by the B...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/79337 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Abstract The Biogeography-Based Optimization (BBO) optimization method is an
optimization method inspired by the concept of biogeography which is used to solve
optimization problems. Apart from solving optimization problems, BBO can also
be used to find initial values which are then used by the Broyden method to find the
roots of a system of non-linear equations even though in one program execution it
can only get one root. So that in one execution of the BBO program modified with
the Broyden method, all possible roots of a system of non-linear equations can be
obtained, this thesis has developed a combination of BBO with the Broyden method
and clustering techniques. This combination makes it possible to obtain all the roots
of a system of nonlinear equations in one program execution. Furthermore, to map
the extreme points of multimodal functions in one program execution, BBO can also
be combined with clustering techniques. Based on the research results, combining
BBO with the Broyden method and clustering techniques makes it possible to
obtain the roots of non-linear equation systems, and combining BBO with clustering
techniques makes it possible to obtain the extreme points of multimodal functions. |
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