SUMMARY
This paper has introduced the mathematical optimization solver methodology for finding the best solution to highly complex optimization problems, by focusing on the LINGO mathematical optimization solver; amongst the numerous alternatives that has have been developed overtime.
As stated in the overview of this study in the chapter one of this paper, relative literatures to this study have been considered in the chapter 2 of this paper. Literatures bordering around concept optimization problems, its historical development and evolution, the mathematical classification of optimization problems solution approaches to optimization problem, the development and evolution of mathematical optimization solvers and the Markowitz variance portfolio problem.
In chapter 3, focus was exerted on the LINGO mathematical optimization solver methodology of translating optimization problems into LINGO programs and obtaining the problems optimal solution.
The discussed methodology in chapter 3, is applied to a sample Markowitz variance portfolio problem in the chapter 4 of this paper, where the problem was programmed in the LINGO language and solved using the LINGO mathematical optimization solver.
