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Deterministic and Stochastic Models in Optimization Theory

Name: Deterministic and Stochastic Models in Optimization Theory
Brand: LAP Lambert Academic Publishing
SKU: 18037983
Price: 49.83 EUR
Availability: InStock
Author: Jude Kuipo Kibindé
ISBN: 9786202003759

Optimization, Optical Designing, Stability Analysis, Log-scaled Mutation, Genetic Algorithm

Jude Kuipo Kibindé

Bhupendra Nath Tiwari

Neeraj Gupta

Language

English

Book Paperback

Libristo code: 18037983

Publishers LAP Lambert Academic Publishing, November 2016

Optimization theory emerges as an integral part of applied mathematics in order to address complex s... Full description

Libristo code: 18037983

121 b

49.83 €

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Optimization theory emerges as an integral part of applied mathematics in order to address complex scientific and engineering problems. Optical optimization is formulated mathematically by considering the corresponding focal length of the lens/ mirror as the objective function subject to object distance and lateral magnification. The stability domains of objective function are examined by multivariable calculus and eigenvalue analysis. Qualitative depictions of stability components are provided to enhance the comprehension of optical systems. This book gives criteria for the domains in searching the global optima. We discuss the notion of the intrinsic optical length, zoom-in, zoom-out, power, constrained and multicomponent optimizations. We propose an Enhanced Selection and Log-scaled Mutation Genetic Algorithm as a metaheuristic optimizer, which arises via the simulated annealing selection and adaptive log-scaled mutation schemes. A hybridization of deterministic and metaheuristic optimization emerges as a novel tool towards industrial applications. Validation on various objective functions reveals that our proposal offers improved convergence in realism of the Genetic Algorithm.