A second order sufficient optimality criterion is presented for a multiobjective problem subject to a constraint given just as a set. To this aim, we first refine known necessary conditions in such a way that the sufficient ones differ by the replacement of inequalities by strict inequalities. Furthermore, we show that no relationship holds between this criterion and a sufficient multipliers ru...

The collaborative task based teaching model is a optimization on constructivist learning theory. Through this model, learners can be placed in dominant position classroom teaching, which not only improve teachers' organization ability, but also it will the atmosphere classroom, especially enhancing students' autonomy, enthusiasm, and ability to acquire knowledge through multiple channels, order...

Tuned mass damper (TMD) have been studied and installed in structures extensively to protect the structures against lateral loads. Multiple tuned mass dampers (MTMDs) which include a number of TMDs with different parameters have been proposed for improving the performance of single TMDs. When the structural system is considered as multiple degrees of freedom (MDOF) and implemented with MTMDs, t...

The first part of this abstract focuses on estimation of mixture models for problems in which multiple views of the instances are available. Examples of this setting include clustering web pages or research papers that have intrinsic (text) and extrinsic (references) attributes. Mixture model estimation is a key problem for both semisupervised and unsupervised learning. An appropriate optimizat...

Given an M=G=1 queue controlled by an exhaustive policy P, we consider a (P+ )-policy consisting of turning the server on at a random time later than P. The objective is to obtain necessary and su cient conditions such that the (P+ )-policy are better than the P-policy. Under the in nite-horizon average-cost criterion, policies are compared when the costs assumed are linear. When the holding co...

Multiple Criteria Decision Making (MCDM) is firmly rooted in an alternative concept of optimality where multiple (rather than single) criteria characterize the notion of “the best” (or optimal), as is prevalent in the areas of economics, engineering, management and business. These are often constrained problems where search for an optimal solution requires some form of evaluating criteria perfo...

To obtain consistency and asymptotic normality, a generalized method of moments (GMM) estimator typically is defined to be an approximate global minimizer of a GMM criterion function. To compute such an estimator, however, can be problematic because of the difficulty of global optimization. In consequence, practitioners usually ignore the problem and take the GMM estimator to be the result of a...