Piecewise linear convex and concave support functions combined with Pijavskii’s method are proposed to be used for solving global optimization problems. Rules for constructing support functions are introduced.

The molecular conformation problem is discussed, and a concave quadratic global minimization approach for solving it is described. This approach is based on a quadratic assignment formulation of a discrete approximation to the original problem.

The development of technology coupled with the idea of global village is driving a trend that is advancing development of under developed nations through transfer of technology. To date, the transfer has mostly been in the form of finished products such as equipment being sold to developing nations. The designs for the pieces of equipment were initially inspired by technological needs in temper...

BACKGROUND The grand challenges approach aims to spark innovative and transformative strategies to overcome barriers to significant global health issues. Grand Challenges Canada endorses an 'Integrated Innovation™' approach that focuses on the intersection of scientific/technological, social and business innovation. In this article we explore themes emerging from a dialogue between the authors,...

We propose a general approach for constructing bounds required for the “Big Triangle Small Triangle” method for the solution of planar location problems. Optimization problems which constitute a sum of individual functions, each a function of the Euclidean distance to a demand point, are analyzed and solved. These bounds are based on expressing each of the individual functions in the sum as a d...

It is becoming apparent that convex financial planning models are at times a poor approximation of the real world. More realistic, and more relevant models need to dispense with normality assumptions, and concavity of the utility functions to be optimized. Moreover, the problems are large scale but structured, consequently specialized algorithms have been proposed for their solution. The aim of...

the formulation of global health policy is political; and all institutions operating in the global health landscape are political. this is because policies and institutions inevitably represent certain values, reflect particular ideologies, and preferentially serve some interests over others. this may be expressed explicitly and consciously; or implicitly and unconsciously. but it’s important t...

In this paper we consider a global optimization approach for solving fuzzy fractional posynomial geometric programming problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. For obtaining an optimal solution, Dinkelbach’s algorithm which achieves the optimal solution of the optimization problem by means of solving a sequence of subproblems ...

This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...

In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...