Preface

Abstract

The ConferenceOptimization is a process to achieve the ideal or optimal value of an objective function. In the discipline of mathematics, optimization also refers to the study of problems trying to find the minimum and maximum values of a real function. To achieve these minimum and maximum values, some processes were systematically carried out by selecting integers or real numbers that will provide optimal solutions.The true discriminant between “easy” and “hard” optimization problems in mathematical programming is the convex/non-convex issue. A problem is convex if it is a minimization of a convex function (or a maximization of a concave function) where the admissible points are in a convex set. The fundamental result in convex analysis says that a locally optimal solution of a convex problem is also globally optimal. This is practically very important since algorithmic termination tests occur at each iteration in the algorithm, they must be computationally very efficient; thus, virtually all termination conditions of optimization algorithms are local conditions, i.e. they test whether the current solution is locally optimal with respect to a pre-defined neighborhood. If the problem is convex this is enough to guarantee that the solution is globally optimal. Non-convex problems, on the other hand, may have many different local optimal, and choosing the best one is an extremely hard task.The field of applied mathematics that studies extremal locations of non-convex functions subject to (possibly) non-convex constraints is called Global Optimization. Research on global optimization has been continuing rapidly and many of the findings are of new techniques that are more sophisticated and efficient.The 7th International Conference on Global Optimization and Its Application (ICoGOIA) 2018 is hosted and organized by Faculty of Mathematics and Natural Sciences Universitas Pakuan, Indonesia.List of Conference Publication, Conference Theme, Organization, Participants, Committee, Secretariat, Welcoming Speech, Table of Contents and all the titles are available in this pdf.