In this paper, we consider the problem of minimizing a strictly convex separable function over a feasible region defined by a convex inequality constraint and two-sided bounds on the variables (box constraints). Also, the convex separable program with a strictly convex objective function subject to linear equality constraints and bounded variables is considered. These problems are interesting f...

Regressions has successfully been incorporated into memetic algorithm (MA) to build surrogate models for the objective or constraint landscape of optimization problems. This helps to alleviate the needs for expensive fitness function evaluations by performing local refinements on the approximated landscape. Classifications can alternatively be used to assist MA on the choice of individuals that...

We introduce a partial proximal point algorithm for solving nuclear norm regularized matrix least squares problems with equality and inequality constraints. The inner subproblems, reformulated as a system of semismooth equations, are solved by an inexact smoothing Newton method, which is proved to be quadratically convergent under a constraint non-degeneracy condition, together with the strong ...

This paper presents a Simulated Annealing (SA) algorithm for solving the Environmental/Economic Dispatch Problem (EED). This problem is formulated as a multi-objective one with two competing functions, namely economic cost and emission functions, subject to different constraints. The inequality constraints considered are maximum and minimum limits of power generation while the equality constrai...

a major objective of this paper is to present a theoretical and analytical framework for better understanding and measuring the consequences of increasing poverty and inequality in income distribution at different levels in the developing countries. the research hypothesis to be tested here is that globalization has led to increasing economic inequality within countries and between them, and ha...

This paper presents a hybrid particle swarm optimization algorithm (HPSO) as a modern optimization tool to solve the optimal power flow (OPF) problem. The objective functions considered are the system real power losses, fuel cost, voltage deviation and voltage stability index. The proposed algorithm makes use of the PSO, known for its global searching capabilities, to allocate the optimal contr...

Hybrid logics are modal logics with names for worlds. Tableau systems for various hybrid logics were proposed in [6, 7, 20]. We present an improved tableau system for hybrid logic that handles equality for nominals by substitution and generation of inequality constraints. This compiles out the equalities while storing the inequalities, thus allowing for efficient equality reasoning. The proof p...

“equality of genders” is a subject which has occupied the minds of academic society in recent decades. many experts have had had theories on this subject and islamic thinkers have tried to explain justice and equality from the islamic point of view and they have criticized feministic approaches. there have also been researches conducted in this regard. in this article we will briefly review the...

An encompassing prior (EP) approach to facilitate Bayesian model selection for nested models with inequality constraints has been previously proposed. In this approach, samples are drawn from the prior and posterior distributions of an encompassing model that contains an inequality restricted version as a special case. The Bayes factor in favor of the inequality restriction then simplifies to t...

We describe an animation system that simulates the dynamics of viscoelastic bodies subject to equality and inequality constraints. The equations of motion are derived from Lagrange's equation, and constraint forces are computed by the method of Lagrange multipliers. Each elastic body is modeled as a collection of tetrahedral nite elements whose deformation is restricted to a ne transformations ...