The approximate Karush-Kuhn-Tucker (AKKT) condition is introduced being a necessary of the local weak efficient solution for optimistic bilevel optimization problems with multiple objectives in upper-level problems. We transform multi-objective problem into single-level by means value function transformation or KKT transformation. then prove that AKKT point to be without any constraint qualific...

Mathematical programs with complementarity constraints are notoriously difficult to solve due their nonconvexity and lack of constraint qualifications in every feasible point. This letter focuses on the subclass quadratic linear constraints. A novel approach solving a penalty reformulation using sequential convex programming homotopy parameter is introduced. Linearizing necessarily nonconvex fu...

In this paper, we consider a least square semidefinite programming problem under ellipsoidal data uncertainty. We show that the robustification of this uncertain problem can be reformulated as a semidefinite linear programming problem with an additional second-order cone constraint. We then provide an explicit quantitative sensitivity analysis on how the solution under the robustification depen...

the results of examination of annual financial statements by independent experts (auditors) are presented in reports. we have tried to examine and evaluate the activities of two important professions of accountancy and auditing in iran, in preparing and validating annual financial statements, and relate these evaluations to group behavior of share – holders and analyses of stock – brokers. for ...

This article provides analysis and a reflection on basic measurable properties of qualifications, modules, units and other groups of learning outcomes, as a theoretical base for their multidimensional classifications in emerging reforming qualifications frameworks. Learning outcomes, as the main elements of a qualification, are written and organised within units of learning outcomes and differe...

An algorithm to solve equality constrained optimization problems based on stabilized sequential quadratic programming, augmented Lagrangian and inexact restoration methods is presented. This formulation has attractive features in the sense that no constraint qualifications are needed at the limit point, and that it overcomes ill-conditioning of the subproblems when the penalty parameter is larg...

In this paper, we describe a system for managing the hiring and assigning of Graduate Teaching Assistants (GTAs) to academic tasks based on the GTAs qualifications, preferences, and availability. This system is built using Constraint Processing techniques and is operated through web-based interfaces. Various versions of the prototype system have been in actual use since Fall 2001 and have yield...