Basics for Optimization Problem

In this chapter, the basics used in book for optimization problem are briefly introduced. The organization is shown as follows: (1) overview of problems, which gives general forms and classifications some frequently models also illustrated; (2) introductions problems with uncertainties, including stochastic optimization, robust interval optimization; (3) convex semi-definite programming (SDP), second-order cone (SOCP), relaxation skills; (4) frameworks used, two-stage bi-level optimization. Six examples corresponding case studies based on classic knapsack reformulated to show different problems. above all important topics not only book, but many engineering scenarios. summary, contents chapter readers who interesting details can refer professional mathematical literature or books listed reference familiar these basic skills skip without any inconvenience.