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- Title
Variational Problems and Applications.
- Authors
Treanţă, Savin
- Abstract
When trying to solve constrained optimization problems using deterministic, stochastic optimization methods or using a hybridization between them, penalty function methods are the most popular approach due to their simplicity and ease of implementation. Over the years, many researchers have been interested in obtaining solution procedures in variational (interval/fuzzy) analysis and robust control. The proposed approach penalty function is used to guide the hybrid gradient simulated annealing algorithm (GLMSA) to obtain a new algorithm (GHMSA) that finds the constrained optimization problem. Treanta and Das [[3]] introduced a new class of multi-dimensional robust optimization problems (named HT <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>(</mo><mi>P</mi><mo>)</mo></mrow></semantics></math> ht ) with mixed constraints, implying second-order partial differential equations (PDEs) and inequations (PDIs).
- Subjects
MATHEMATICAL programming; SIMULATED annealing; LINE integrals; CONSTRAINED optimization; KORTEWEG-de Vries equation; INTEGRAL operators; RIEMANN integral
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 1, p205
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11010205