In this paper, we study a class of optimization problems, called Mathematical Programs with Cardinality Constraints (MPCaC). This kind problem is generally difficult to deal with, because it involves constraint that not continuous neither convex, but provides sparse solutions. Thereby reformulate MPCaC in suitable way, by modeling as mixed-integer and then addressing its counterpart, which will...

Non-orthogonal multiple access (NOMA) is a technology that can provide efficient spectrum utilization and increased channel capacity on Internet of Things (IoT) networks. One factor affecting NOMA system performance in the IoT network allocation power for each user. To improve system, this paper presents method optimizing an with Lagrange multiplier using Karush-Kuhn-Tucker (KKT) condition. The...

Abstract In this paper, weak optimal inverse problems of interval linear programming (IvLP) are studied based on KKT conditions. Firstly, the problem is precisely defined. Specifically, by adjusting minimum change current cost coefficient, a given solution can become optimal. Then, an equivalent characterization IvLP obtained. Finally, simplified without coefficient null variable.

Multi-objective reliability-based design optimization (MORBDO) is an efficient tool for generating reliable Pareto-optimal (PO) solutions. However, such PO solutions requires many function evaluations reliability analysis, thereby increasing the computational cost. In this paper, a single-loop multi-objective formulation proposed that approximates analysis using Karush-Kuhn Tucker (KKT) optimal...

In the cosmic string spacetime and within Kaluza-Klein theory (KKT) backgrounds (indulging magnetic Aharonov-Bohm flux fields), we introduce study position-dependent mass (PDM) Klein-Gordon (KG) oscillators. The effective PDM is introduced as a deformation/defect in momentum operator. We show that there are four different ways to obtain KG-oscillator. Two of which readily known other two obtain...

<abstract><p>We report a continuum theory for 2D strain gradient materials accounting class of dissipation phenomena. The description is constructed by means (reversible) placement function and (irreversible) damage plastic functions. Besides, expressions elastic energies have been assumed as well the postulation hemi-variational principle. No flow rules deformation also compatible,...

In many core problems of signal processing and wireless communications, Karush-Kuhn-Tucker (KKT) conditions based optimization plays a fundamental role. Hence we investigate the KKT in context optimizing positive semidefinite matrix variables under nonconvex rank constraints. More explicitly, on properties conditions, optimize reconfigurable intelligent surface (RIS) aided multi-user multi-inpu...