Diverse optimization algorithms correctly identify, in finite time, intrinsic constraints that must be active at optimality. Analogous behavior extends beyond to systems involving partly smooth operators, and particular variational inequalities over sets. As classical nonlinear programming, such active‐set structure underlies the design of accelerated local Newton type. We formalize this idea b...

We consider active set identification for linearly constrained optimization problems in the absence of explicit information about the derivative of the objective function. We focus on generating set search methods, a class of derivative-free direct search methods. We begin by presenting some general results on active set identification that are not tied to any particular algorithm. These genera...

In this paper, the power allocation strategy in the downlink of a WCDMA system is investigated, with the aim of assessing the network capacity. It is known that the downlink capacity for a base is limited by the maximum transmit power, which is a common resource to be shared by all users; if one user requires a large fraction of the allowed transmit power, the overall capacity could be decrease...

We consider joint Tikhonovand Lavrentiev-regularization of control problems with pointwise controland state-constraints. We derive error estimates for the error which is introduced by the Tikhonov regularization. With the help of this results we show, that if the solution of the unconstrained problem has no active constraints, the same holds for the Tikhonov-regularized solution if the regulari...

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Internet services experience frequent changes in demand, resource characteristics and service requirements. A service can meet its requirements with minimal cost only if the allocation of its distributed resources can be adaptively controlled. The design of adaptive control schemes requires a solid understanding of the dynamic characteristics of the distributed service, demand and resources. Th...

Among enzymes, lipases have been widely investigated because of the numerous industrial applications. In this study, optimization of lipase production by Aspergillus niger in solid state fermentation from rice bran as solid substrate was investigated. The optimal conditions with the aid of central composite design (CCD) under response surface methodology (RSM) were obtained.  In the analysis of...