The SoR (Sum-of-Ratios) problem intended to minimize (maximize) a sum of several fractional functions in convex set is a non-convex optimization problem that is difficult to solve by traditional optimization methods. The CMP (Convex Multiplicative Programming) problem is to minimize the sum of products of two convex functions in convex set. The SoR and CMP problems arise in many applications such as the communication, robotics, computer graphics, finance, engineering, plant layout design, robust optimization, VLSI chip design, data mining and so on.This book presents new parametric approach to…mehr
The SoR (Sum-of-Ratios) problem intended to minimize (maximize) a sum of several fractional functions in convex set is a non-convex optimization problem that is difficult to solve by traditional optimization methods. The CMP (Convex Multiplicative Programming) problem is to minimize the sum of products of two convex functions in convex set. The SoR and CMP problems arise in many applications such as the communication, robotics, computer graphics, finance, engineering, plant layout design, robust optimization, VLSI chip design, data mining and so on.This book presents new parametric approach to the SoR and CMP problem. Compared with existing methods based on branch-and-bound procedure and other approaches, the idea of new method is to reduce the SoR and CMP problems to parametric convex programming problem having parameters in objective functions. The parametric algorithm is based on Newton-like method for solving a system of nonlinear equations with parameters and it needs to solve convex programming problem in each iteration. This new algorithm has the global linear and local superlinear/quadratic rate of convergence.
Die Herstellerinformationen sind derzeit nicht verfügbar.
Autorenporträt
Yunchol Jong - Senior lecturer of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.Yongjin Kim - Senior lecturer of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.KwanHung Ri - Teacher of Department of Mathematics, University of Science, Pyongyang, DPR. Korea.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Internetauftritt der buecher.de internetstores GmbH
Geschäftsführung: Monica Sawhney | Roland Kölbl | Günter Hilger
Sitz der Gesellschaft: Batheyer Straße 115 - 117, 58099 Hagen
Postanschrift: Bürgermeister-Wegele-Str. 12, 86167 Augsburg
Amtsgericht Hagen HRB 13257
Steuernummer: 321/5800/1497
USt-IdNr: DE450055826