Since 1971, federal laboratory regulations have required that directors of approved laboratories possess earned doctorates. Private accrediting agencies and some states also require doctoral directorship of accredited laboratories. No empirical studies have demonstrated that a director's earned doctorate is necessary to assure laboratory quality. Laboratories in physicians' offices (POLs) are e...

This paper deals with optimality conditions to solve nonlinear programming problems. The classical Karush-Kuhn-Tucker (KKT) optimality conditions are demonstrated through a cone approach, using the well known Farkas’ Lemma. These conditions are valid at a minimizer of a nonlinear programming problem if a constraint qualification is satisfied. First we prove the KKT theorem supposing the equalit...

In 1947, Pediatric Dentistry was formally recognized as a specialty in dentistry. There are currently over 7000 members of the American Academy of Pediatric Dentistry. Despite this large number, many people are unaware of the role they serve as health care providers [1]. The purpose of this article is to give a clearer understanding of the educational process of becoming a Pediatric Dentist, th...

Sequential optimality conditions for constrained optimization are necessarily satisfied by local minimizers, independently of the fulfillment of constraint qualifications. These conditions support the employment of different stopping criteria for practical optimization algorithms. On the other hand, when an appropriate strict constraint qualification associated with some sequential optimality c...

Bologna Process studies in Çankaya University‟s Interior Design and Architecture Department have been initiated in 2008. This study analyzes the curriculum development efforts in a participatory point of view and the findings of the first stage by providing insights for the next step of the process. As a result of the consensus among professors and questionnaire, program qualifications have bee...

We study second-order optimality conditions for mathematical programs with equilibrium constraints (MPEC). Firstly, we improve some second-order optimality conditions for standard nonlinear programming problems using some newly discovered constraint qualifications in the literature, and apply them to MPEC. Then, we introduce some MPEC variants of these new constraint qualifications, which are a...

In mathematical programming, constraint qualifications are essential elements for duality theory. Recently, necessary and sufficient constraint qualifications for Lagrange duality results have been investigated. Also, surrogate duality enables one to replace the problem by a simpler one in which the constraint function is a scalar one. However, as far as we know, a necessary and sufficient cons...