On the rate of convergence of sequential unconstrained minimization techniques
On the Rate of Superlinear Convergence of a Class of Variable Metric Methods.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part II. Applications.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part I. Theory.
On the relationship between regression analysis and mathematical programming.
On the relationship of interior-point methods.
On the resolution of bipolar max-min equations
This paper investigates bipolar max-min equations which can be viewed as a generalization of fuzzy relational equations with max-min composition. The relation between the consistency of bipolar max-min equations and the classical boolean satisfiability problem is revealed. Consequently, it is shown that the problem of determining whether a system of bipolar max-min equations is consistent or not is NP-complete. Moreover, a consistent system of bipolar max-min equations, as well as its solution set,...
On the separation of parametric convex polyhedral sets with application in MOLP
We investigate diverse separation properties of two convex polyhedral sets for the case when there are parameters in one row of the constraint matrix. In particular, we deal with the existence, description and stability properties of the separating hyperplanes of such convex polyhedral sets. We present several examples carried out on PC. We are also interested in supporting separation (separating hyperplanes support both the convex polyhedral sets at given faces) and permanent separation (a hyperplane...
On the set of optimal controls for Markov chains with rewards
On the set of weighted least squares solutions of systems of convex inequalities
On the Set-Partitioning Problem
On the Short Term Behaviour of Genetic Algorithms
On the solution of a class of location problems. A sample problem
On the Solution of Nonlinear Inequalities in a Finite Number of Iterations.
On the solution of optimal control problems involving parameters and general boundary conditions
On the solution of the constrained multiobjective control problem with the receding horizon approach
This paper deals with a multiobjective control problem for nonlinear discrete time systems. The problem consists of finding a control strategy which minimizes a number of performance indexes subject to state and control constraints. A solution to this problem through the Receding Horizon approach is proposed. Under standard assumptions, it is shown that the resulting control law guarantees closed-loop stability. The proposed method is also used to provide a robustly stabilizing solution to the problem...
On the solution of traveling salesman problems.
On the stability in stochastic programming: the case of individual probability constraints
On the Steiner 2-edge connected subgraph polytope
In this paper, we study the Steiner 2-edge connected subgraph polytope. We introduce a large class of valid inequalities for this polytope called the generalized Steiner F-partition inequalities, that generalizes the so-called Steiner F-partition inequalities. We show that these inequalities together with the trivial and the Steiner cut inequalities completely describe the polytope on a class of graphs that generalizes the wheels. We also describe necessary conditions for these inequalities to...
On the structure of the quadratic Boolean problem polytope