دانلود کتاب مدل های ریاضی برای تصمیم گیری با دیدگاه های چندگانه

Our primary goal for this textbook is to have, within a single volume, decision-making mathematical methods that are usually scattered over several books. We explore topics from single to multi perspective decision making to present

the reader (the student) different but related concepts starting on simpler

methodologies and moving towards the more complex ones, thereby smoothing the learning curve.

We do not intent to be exhaustive in any of the addressed topics. Moreover, we have been mindful with regards to which mathematical details to include in each chapter. The purpose of this textbook is to present a course providing students with the first approach on how to make decisions in a systematic (mathematical)way, to alert them about the methods limitations and how to handle them. Finally, we wish to provide some guidance on where the readers can look for mathematical theoretical background in case they feel the need to. Questions regarding the psychology of decision making and the influence of emotions when making decisions are out of the scope of this course.

As a pre-requisite, readers must be knowledgeable of basic matrix algebra and model building in linear optimization, and on the graphical approach to solve two-variable linear optimization problems. Problems with a larger number of variables should be solved with an optimization software. We provide a few models programed in GAMS language. However, all the proposed problems can be easily solved by the Excel solver tool.

The book is structured into three parts: single-criterion decision making, multi-criteria decision making and multi-objective optimization.

In the first part, Chapter 1 focus on single-criterion decision making. This chapter sets the basis for the remaining course. It allows students to get used to decision making language and introduces them to some basic techniques and different problem context (uncertainty and risk). Chapter 2 addresses sequence decision making by the means of a decision tree approach. We also discuss ways to model subjectivity and how it can be incorporated when making decisions (e.g. the concept of utility).