Global Optimization
Toolbox for Maple
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Optimization is the science of
finding solutions that satisfy complicated constraints and objectives.
In engineering, constraints may arise from technical issues. In
business, constraints are related to many factors, including cost,
time, and staff.
The goal of global optimization is to find the absolutely best
answer for models that have a number of possible solutions. Global
optimization
problems can be extremely difficult. Frequently engineers and researchers
are forced to settle for solutions that are “good enough,”
at the expense of extra time, money, and resources, because the
best solution has not been found.
Using the Global Optimization Toolbox, you can formulate your
optimization model easily inside the powerful Maple numeric and
symbolic system,
and then use world-class Maple numeric solvers to return the best
answer, fast!
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Application Areas
Global optimization problems are prevalent
in systems described by highly nonlinear models. These areas
include:
• Advanced engineering design
• Econometrics and finance
• Management science
• Medical research and biotechnology
• Chemical and process industries
• Industrial engineering
• Scientific modeling
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Key Features
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Incorporates the following
solver modules for nonlinear optimization problems. |
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• Branch-and-bound
global search
• Global adaptive random search
• Multi-start based global random search
• Global solution further refined by local search
using the reduced gradient method |
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Solves models with thousands of variables
and constraints. |
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Solvers take advantage of Maple arbitrary
precision capabilities in their calculations, to greatly reduce
numerical instability problems. |
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Supports arbitrary objective and constraint
functions, including those defined in terms of special functions
(for example, Bessel, hypergeometric), derivatives and integrals,
and piecewise functions etc. Functions can also be defined
in terms of a Maple procedure rather than a formula. |
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Interactive Maplet™ assistant for
easy problem definition and exploration. |
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Built-in model visualization capabilities
for viewing one or two-dimensional subspace projections of
the objective function, with visualization of the constraints
as planes or lines on the objective surface. |
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System Requirements
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The Global Optimization Toolbox requires Maple 9.5 (or more). This toolbox is available for all Maple 9.5 (or more) supported platforms. |
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