In this paper, we combine the new global optimization method proposed by Jiao [H. Jiao, A branch and bound algorithm for globally solving a class of nonconvex programming problems, Nonlinear Anal. 70 (2) (2008) 1113-1123] with a suitable deleting technique to propose a new accelerating global optimi
A method of acceleration for a class of multiplicative programming problems with exponent
β Scribed by Xue-Gang Zhou; Kun Wu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 487 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
a b s t r a c t
Multiplicative programming problems with exponent (MPE) have many practical applications in various fields. In this paper, a method for accelerating global optimization is proposed for a class of multiplicative programming problems with exponent under multiplicative constraints using a suitable deleting technique. This technique offers the possibility of cutting away a large part of the currently investigated region in which the globally optimal solution of the MPE does not exist. The deleting technique can accelerate the convergence of the proposed global optimization algorithm. Two numerical examples are given to illustrate the feasibility of the deleting technique.
π SIMILAR VOLUMES
In this paper, both the Wolfe type and MondαWeir type dual problems for a class of nondifferentiable multiobjective programs in which every component of the objective function contains a term involving the support function of a compact convex set are formulated. Weak duality theorems are established