# Introduction to the AIMMS Language

Example makes a good starting point

This chapter discusses a simple but complete modeling example containing the most common components of a typical AIMMS application. The aim is to give a quick feel for the language, and to assist you to form a mental picture of its functionality.

Familiarity with algebraic notation

It is assumed that you are familiar with some basic algebraic notation. It is important that you understand the notions of “summation,” “simultaneous equations in many variables (unknowns),” and “minimizing or maximizing an objective function, subject to constraints.” If you are not acquainted with these notions, refer to the book AIMMS-Optimization Modeling.

What to expect in this chapter

This chapter uses a simple depot location problem to introduce the basic AIMMS concepts necessary to formulate and solve the model. The task consists of the following steps.

• The Depot Location Problem describes the depot location problem, introduces the set notation, and illustrates how sets can be used to declare multidimensional identifiers useful for modeling the problem in AIMMS.

• Formulation of the Mathematical Program discusses the formulation of a mathematical program that can be used to compute the optimal solution of the problem.

• Data Initialization briefly discusses data initialization, and explains how data can be entered.

• An Advanced Model Extension illustrates how you can use flow control statements in AIMMS to formulate an algorithm for solving your problems in advanced ways.

• General Modeling Tips discusses issues to consider when working with more complex models.