On the relationship between regression analysis and mathematical programming.
On the relationship of interior-point methods.
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 structure of the quadratic Boolean problem polytope
On Tucker's key theorem.
On two combination rules for 0-1-sequences.
On various criteria of optimality in probabilistic decision-making
Optimal control of HIV dynamic using embedding method.
Optimal control of semilinear parabolic equations with state-constraints of bottleneck type
Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type
We consider optimal distributed and boundary control problems for semilinear parabolic equations, where pointwise constraints on the control and pointwise mixed control-state constraints of bottleneck type are given. Our main result states the existence of regular Lagrange multipliers for the state-constraints. Under natural assumptions, we are able to show the existence of bounded and measurable Lagrange multipliers. The method is based on results from the theory of continuous linear programming...
Optimal traffic assignment in a SS/TDMA frame : a new approach by set covering and column generation
Optimalizace a diferenciální hry
Optimisation de plans de financement immobiliers
La finance de marché est devenue un des domaines d'ap- plication privilégiés de la recherche opérationnelle. D'un autre côté, rares sont les applications touchant la banque de détail, tournée vers le grand public. Dans ce papier, nous abordons un problème d'actualité dans le secteur bancaire français : l'optimisation de plans de financement immobiliers. Le travail que nous présentons a été effectué dans le cadre du développement par la société Experian-Prologia d'une nouvelle application d'instruction...
Optimization algorithm for finding solutions in linear programming problems.
Optimum transportation bases