Global optimal solution on blending problem

An Optimal Solution to Room Search Problem

Blending block copolymer micelles in solution; Obstacles of blending.

Amphiphilic block copolymers can assemble into a variety of structures on the nanoscale in selective solvent. The micelle blending protocol offers a simple unique route to reproducibly produce polymer nanostructures. Here we expand this blending protocol to a range of polymer micelle systems and self-assembly routes. We found by exploring a range of variables that the systems must be able to re...

Global Optimal Solution to Discrete Value Selection Problem with Inequality Constraints

This paper presents a canonical dual method for solving a quadratic discrete value selection problem subjected to inequality constraints. The problem is first transformed into a problem with quadratic objective and 0-1 integer variables. The dual problem of the 0-1 programming problem is thus constructed by using the canonical duality theory. Under appropriate conditions, this dual problem is a...

Optimal blending study for the commercial gasoline

Commercial ecological gasoline is being obtained by blending multiple components. Increasing a refinery’s economic performance depends, among other things, on obtaining optimum blending recipes for the available components. To determine the optimum blending recipe, knowing the mathematical blending model for blending properties estimation and a linear optimization algorithm are necessary. As a ...

Existence of Best Proximity Points: Global Optimal Approximate Solution

Given non-empty subsets A and B of a metric space, let S : A → B and T : A → B be non-self mappings. Taking into account the fact that, given any element x in A, the distance between x and Sx, and the distance between x and Tx are at least d(A,B), a common best proximity point theorem affirms global minimum of both functions x → d(x, Sx) and x → d(x, Tx) by imposing a common approximate solutio...