Techniques for solving programming problems: With comparison of the techniques for Quadratic and Non-linear problems - Softcover

Datta, Bimal Kumar; Mohammad Babul Hasan, Dr.

 
9783838383903: Techniques for solving programming problems: With comparison of the techniques for Quadratic and Non-linear problems
Softcover
ISBN 10: 3838383907 ISBN 13: 9783838383903
Verlag: LAP LAMBERT Academic Publishing, 2010

Inhaltsangabe

The work being presented in this thesis is devoted to investigate the different techniques for solving Quadratic Programming Problems (QPP) and Non-Linear Programming Problems (NLPP). We first develop a technique to generalize the traditional simplex method for solving a special type (Quasi-concave) QPP in which the objective function can be factorized. We then investigate three well known methods in Operation Research known as Lagrange's method, Karush-Kuhn-Tucker (KKT) method and Wolf's method for solving QP and NLP problems. Graphical representation of the above three methods are also demonstrated along with their merits and demerits. We implement Lagrange's method for solving any type of NLPP. For this, we develop a computer technique along with algorithm. We then develop another computer technique for the implementation of KKT method for solving any NLPP. We also modify Wolf's method to solve any type of QP problems. For this, we develop a computer technique. All the codes in this thesis are developed by using the programming language Mathematica. To demonstrate all of our computer codes, we illustrate number of numerical examples.

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Reseña del editor

The work being presented in this thesis is devoted to investigate the different techniques for solving Quadratic Programming Problems (QPP) and Non-Linear Programming Problems (NLPP). We first develop a technique to generalize the traditional simplex method for solving a special type (Quasi-concave) QPP in which the objective function can be factorized. We then investigate three well known methods in Operation Research known as Lagrange's method, Karush-Kuhn-Tucker (KKT) method and Wolf's method for solving QP and NLP problems. Graphical representation of the above three methods are also demonstrated along with their merits and demerits. We implement Lagrange's method for solving any type of NLPP. For this, we develop a computer technique along with algorithm. We then develop another computer technique for the implementation of KKT method for solving any NLPP. We also modify Wolf's method to solve any type of QP problems. For this, we develop a computer technique. All the codes in this thesis are developed by using the programming language Mathematica. To demonstrate all of our computer codes, we illustrate number of numerical examples.

Biografía del autor

Bimal Kumar Datta B.Sc(University of Dhaka),M.S(University of Dhaka) Faculty of Mathematics, IUBAT(International University of Business Agriculture and Technology). Research Interests: Operational Research, Ordinary Differential Equations, Numerical Analysis, Financial Mathematics.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3838383907
ISBN 13 
9783838383903
Einband
Tapa blanda
Anzahl der Seiten
84
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