An n–criteria problem with a finite set of vector valuations is considered. An optimality principle of this problem is given by an integer-valued parameter s, which is varied from 1 to n−1. At that, the majority and Pareto optimality principles correspond to the extreme values of the parameter. Sufficient conditions, under which the problem of finding efficient valuations corresponding to the p...

This paper investigates original local update schemes for Cellular Automata (CA) in structural design. Local problems based on mathematical programming and optimality criteria are tested, allowing the isolation of an original local update scheme. The scheme consists of repeating analysis and optimality-based design rules locally. Several systematic experiments on various problem sizes are perfo...

Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Here, nonsmooth approximate gradient projection and complementary approximate Karush-Kuhn-Tucker conditions are presented. These sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constrai...

This study investigates the optimality of the shape of a snake robot in relation to the obstacles in the environment around it. A certain focus is given to the challenge of finding an optimal set of contact forces based on some optimality criteria. A controller scheme for realizing these contact forces on a dynamic snake model with obstacle compliance was presented, but further development and ...

A novel state dependent control approach for discrete-time nonlinear systems with general performance criteria is presented. This controller is robust for unstructured model uncertainties, resilient against bounded feedback control gain perturbations in achieving optimality for general performance criteria to secure quadratic optimality with inherent asymptotic stability property together with ...

This paper proposes a class of optimal design criteria for prediction in linear regression models with r responses based on the volume of the rectangular confidence region, termed RL-optimality. A general equivalence theorem and a geometrical characterization of the RL r -optimal design are established, which are used to obtain or verify the RL r optimality. Several examples are given for illus...

Here we present a primal-dual interior point nonmonotone line search filter method for nonlinear programming. The filter relies on three measures, the feasibility, the complementarity and the optimality presented in the optimality conditions, considers relaxed acceptability criteria for the step size and includes a feasibility restoration phase. The evaluation of the method is until now made on...

Necessary first-order sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constraint qualifications. A new condition of this type is introduced in the present paper. It will be proved that ...

In this paper optimal experimental designs for inverse quadratic regression models are determined. We consider two different parameterizations of the model and investigate local optimal designs with respect to the c-, Dand Ecriteria, which reflect various aspects of the precision of the maximum likelihood estimator for the parameters in inverse quadratic regression models. In particular it is d...