Given a familyP 1⁄4 fP 1; . . . ; Pmg of m polygonal regions (possibly intersecting) in the plane, we consider the problem of locating a straight line ‘ intersecting the convex hull of P and such that minkd(Pk,‘) is maximal. We give an algorithm that solves the problem in time O((m + n logm) logn) using O(m + n) space, where n is the total number of vertices of P1, . . . ,Pm. The previous best ...

A layered approach to the evaluation of action alternatives with continuous time for decision making under the moral doctrine of Negative Utilitarianism is presented and briefly discussed from a philosophical perspective. Key words-negative utilitarianism; decision making; Maximin; Expected Utility Theory; Precautionary Principle;

Within the framework of classical linear regression model optimal design criteria of stochastic nature are considered. The particular attention is paid to the shape criterion. Also its limit behaviour is established which generalizes that of the distance stochastic optimality criterion. Examples of the limit maximin criterion are considered and optimal designs for the line fit model are found.

Boundedly rational human adversaries pose a serious challenge to security because they deviate from the classical assumption of perfect rationality. An emerging trend in security game research addresses this challenge by using behavioral models such as quantal response (QR) and subjective utility quantal response (SUQR). These models improve the quality of the defender’s strategy by more accura...

Fuzzy Set Theory has been applied in many fields such as Operations Research, Control Theory, and Management Sciences etc. In particular, an application of this theory in Managerial Decision Making Problems has a remarkable significance. In this Paper, we consider a solution of Rectangular Fuzzy game with pay-off as imprecise numbers instead of crisp numbers viz., interval and LR-type Trapezoid...

This paper describes a sequel of the previous experiments on real number genetic algorithm behavior [2], [3]. A particular example of multicriteria optimization is discussed. The behavior of the two previously explored genetic algorithms is compared with a simple evolutionary algorithm. The main idea of the experiments is to stimulate the algorithm to find the Pareto set without measuring domin...

Global bargaining problems over a finite number of different issues are formalized as cartesian products of classical bargaining problems. For maximin and leximin bargainers we characterize global bargaining solutions that are efficient and satisfy the requirement that bargaining separately or globally leads to equivalent outcomes. Global solutions in this class are constructed from the family ...

Consider the multiple testing problem of testing k null hypotheses , where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error rate in the strong sense and which satisfy a monotonicity condition. Under these assumptions, we prove certain maximin optimality results for some well-known...

In this paper, a new method is proposed to optimize a multi-response optimization problem based on the Taguchi method for the processes where controllable factors are the smaller-the-better (STB)-type variables and the analyzer desires to find an optimal solution with smaller amount of controllable factors. In such processes, the overall output quality of the product should be maximized while t...

Experimental designs for a generalized linear model (GLM) often depend on the specification of model, including link function, predictors, and unknown parameters, such as regression coefficients. To deal with uncertainties these specifications, it is important to construct optimal high efficiency under uncertainties. Existing methods Bayesian experimental use prior distributions specifications ...