We consider a general multiobjective optimization problem with five basic optimality principles: efficiency, weak and proper Pareto optimality, strong efficiency and lexicographic optimality. We generalize the concept of tradeoff directions defining them as some optimal surface of appropriate cones. In convex optimization, the contingent cone can be used for all optimality principles except lex...

This paper presents a voltage stability constrained optimal power flow that is expressed via a bilevel programming framework. The inner objective function is dedicated for maximizing voltage stability margin while the outer objective function is focused on minimization of total production cost of thermal units. The original two stage problem is converted to a single level optimization problem v...

This paper develops a method for nodal pricing and market clearing mechanism considering reliability of the system. The effects of components reliability on electricity price, market participants’ profit and system social welfare is considered. This paper considers reliability both for evaluation of market participant’s optimality as well as for fair pricing and market clearing mechanism. To ac...

In this paper, I examine two restrictions on the syntax of Tohono O'odham. I propose a reanalysis of these restrictions as following from prosodic considerations, rather than syntactic ones. When these restrictions are viewed as derived by the prosody, we unify the two cases of distributional facts. In contrast, a syntactic treatment of the restrictions shows them to be arbitrary and unrelated....

Achieving fault-tolerance through incorporation of redundancy and recon-guration is quite common. In this paper we study the fault-tolerance of linear arrays of N processors with k bypass links whose maximum length is g. We consider both arrays with bidirectional links and unidirectional links. We rst consider the problem of testing whether a set of n faulty processors is catastrophic, i.e., pr...

The objective of this work is to try to define and calculate the optimal growth path, in the presence of exogenous technical change, without resorting to the discounted-sum criterion. The solution suggested is to consider an optimality criterion expressing an Allais-anonymous intergenerational consensus. The partial characterization of consensual optimality was made possible thanks to the decom...

In this position paper, we argue that when we are looking for the best fuzzy logic, we should specify in what sense the best, and that we get different fuzzy logics as “the best” depending on what optimality criterion we use.

In this paper the problem of determining optimal designs for least squares estimation is considered in the common linear regression model with correlated observations. Our approach is based on the determination of ‘nearly’ universally optimal designs, even in the case where the universally optimal design does not exist. For this purpose we introduce a new optimality criterion which reflects the...

At the end of their debate with R. H. Str&, F. M. Fisher and J. Rothenberg make a plea for going beyond the Pareto optimality criterion in analyzing issues in welfare eoonomies.l The present study is in the spirit of this plea: an attempt is made in this paper to derive bounds on the optimal distribution of income under a particular set of value judgments. Because of a general reluctance of eco...

Consider the problem of discriminating between two polynomial regression models on the q-cube [−1, 1] , q ≥ 2, and estimating parameters in the models. To find designs which are efficient for both model discrimination and parameter estimation, Zen and Tsai (2002) proposed a multiple-objective optimality criterion for the univariate case. In this work, taking the same Mγ-criterion which uses wei...