A Chebyshev interval method for nonlinear dynamic systems under uncertainty

Maximum consistency method for data fitting under interval uncertainty

For the linear regression model , we consider the problem of data fitting under interval uncertainty. Let an interval × -matrix = ( ) and an interval -vector = ( ) represent the input data and output responses of the model respectively, such that , , ... , , in the -th experiment, = 1, 2, ... , . It is necessary to find the coefficients that best fit the above linear relation for the data given...

Cooperation under interval uncertainty

In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called ψ α-values are introduced and characterizations are given. Some economical situations with an interval character are considered.

Regulating Nonlinear Environmental Systems under Knightian Uncertainty

Optimization of Nonlinear Manufacturing Systems under Uncertainty

A new algorithm for the optimization of nonlinear systems under uncertainty is presented. The algorithm, based on a parametric programming framework, gives a complete map of the optimal solution in the space of the uncertain parameters, solving a minimum number of NLP subproblems and simplified multiparametric linear master problems. Through cumulative outer-approximations obtained from the sol...

A Framework for Modeling and Optimizing Dynamic Systems under Uncertainty

Algebraic modeling languages (AMLs) have drastically simplified the implementation of algebraic optimization problems. However, there are still many classes of optimization problems that are not easily represented in most AMLs. These classes of problems are typically reformulated before implementation, which requires significant effort and time from the modeler and obscures the original problem...