Numerical Methods of Optimization: A Review
Abstract
Optimization is an approach to finding the best result under given conditions. Several difficulties are occurred with the optimization of large scale problem. This paper is a review of numerical method of optimization techniques. Here discussed about different methods of numerical optimization for linear and nonlinear constrained and unconstrained system problem. Here we discussed about linear programing, integer programing, quadratic programing and nonlinear programing. The review is genera in nature, without considering any special category like convex problem, multidisciplinary optimization, multi- objective optimization etc. The necessary theory behind numerical method of optimization is discuss in this paper.
Full Text:
PDFReferences
J.S. Arora, “Introduction to Optimum Design,” 2nd edition, Elsevier Academic Press, 2004.
S.A. Soliman and A.H. Mantawy, “Modern Optimization Techniques,” Springer Science+Business Media, 2012.
G. Venter, Optimization Techniques, John Wiley & Sons, Ltd., South Africa, 2004, pp. 201–371.
S. Chandra, Jayadeva, and A.ssss Mehera, “Numerical Optimization with Application,” Narosa Publishing House, Reprint, 2011.
Linear programing optimization [Online]. Available: https://en.wikipedia.org/wiki/
Linear_programming
G. Venter, Optimization Techniques, John Wiley & Sons, Ltd., South Africa, 2004, 201–371.
C. H. Papadimitriou, and K. Steiglitz., Combinatorial optimization: algorithms and complexity, Mineola, 2010.
Jorge Nocedal and Stephen J. Wright, Numerical Optimization, second edition, springer, Linear Programming: The Simplex Method, 357, 2006.
All integer linear programing [Online]. Available: http://www.nptel.ac.in/courses/105108127/pdf/ Module_7/M7L1slides.pdf
Integer programing optimization [Online]. Available : https://en.wikipedia.org/wiki/ Integer_pro
gramming
Quadratic programing [Online] Available: https://en.wikipedia.org/wiki/Quadratic_programming
Nocedal, Jorge, Wright, and J. Stephen, “Numerical Optimization,” 2nd edition, Berlin, New York , 2006
R. Singh, “Optimization Methods and Quadratic Programing,” A Thesis, NIT Rourkela, May 2012
Refbacks
- There are currently no refbacks.
Copyright (c) 2021 Journal of Control & Instrumentation
eISSN: 2229-6972