The cutting plane method solves a linear relaxation of the problem obtained by dropping the integrality constraint. Given an integer programming problem, it proceeds as follows: If the optimum solution found is not integral, then a cut inequality separating the optimum from all integer solutions is added to the LP and the LP is solved again; this two-step procedure is repeated till an integral ...

In this paper we introduce an approach via optimization methods to find approximate solutions for nonlinear Fredholm integral equations of the first kind. To this purpose, we consider two stages of approximation. First we convert the integral equation to a moment problem and then we modify the new problem to two classes of optimization problems, non-constraint optimization problems and optimal ...

This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. The integral constraint is included in the cost by a penalty term whereas the bilateral control constraints are handled explicit...

This paper addresses an approximation-based anti-windup (AW) control strategy for suppressing the windup effect caused by actuator saturation nonlinearity in proportional–integral–derivative (PID) controlled systems. The effect of actuator constraint is firstly regarded as a disturbance imported to the PID controller. The external disturbance can then be modeled by a linear differential equatio...

General N = (1, 1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poissonsigma models. In this work the extension of earlier results to models with non-minimally coupled matter is presented. In particular, the modifications of the constraint algebra due to non-minimal couplings ...

It is shown that the models of 2D Liouville Gravity, 2D Black Holeand R2Gravity are embedded in the Katanaev-Volovich model of 2D NonEinsteinian Gravity. Different approaches to the formulation of a quantum theory for the above systems are then presented: The Dirac constraints can be solved exactly in the momentum representation, the path integral can be integrated out, and the constraint algeb...

We consider an optimization problem related to mass transportation: given two probabilities f and f− on an open subset Ω ⊂ R , we let vary the cost of the transport among all distances associated with conformally flat Riemannian metrics on Ω which satisfy an integral constraint (precisely, an upper bound on the L-norm of the Riemannian coefficient). Then, we search for an optimal distance which...

In this paper, we study a semi-infinite programming (SIP) problem with a convex set constraint. Using the value function of the lower level problem, we reformulate SIP problem as a nonsmooth optimization problem. Using the theory of nonsmooth Lagrange multiplier rules and Danskin’s theorem, we present constraint qualifications and necessary optimality conditions. We propose a new numerical meth...

This paper deals with the design of scalable, fuzzy adaptive, decision making systems constructed from sets of heterogeneous classifiers. We propose a multiclassifier architecture formed by sparsely connected coalitions of classifiers. Coalitions are defined by fuzzy integral operators on small, but not necessarily disjoint, subsets of classifiers. The small size constraint on individual coalit...