Optimization Modeling

Contents
About Aimms
Contents
v
vii
Preface
xiii
What is in the Aimms documentation ............... xiii
What’s in the Optimization Modeling guide . . . . . . . . . . . xvi
Theauthors............................... xviii
Part I Introduction to Optimization Modeling 3
1 Background 3
1.1 Whatisamodel............................ 3
1.2 Whyusemodels ........................... 4
1.3 Theroleofmathematics....................... 5
1.4 Themodelingprocess ........................ 7
1.5 Applicationareas ........................... 8
1.5.1 Production........................... 8
1.5.2 Productionandinventorymanagement......... 9
1.5.3 Finance............................. 10
1.5.4 Manpowerplanning..................... 11
1.5.5 Agriculturaleconomics................... 12
1.6 Summary ................................ 13
2 Formulating Optimization Models 14
2.1 Formulatinglinearprogrammingmodels............. 14
2.1.1 Introduction ......................... 14
2.1.2 Example of a linear programming model . . . . . . . . 15
2.1.3 Picturing the formulation and the solution . . . . . . . 18
2.2 Formulating mixed integer programming models . . . . . . . 24
2.3 Formulatingnonlinearprogrammingmodels .......... 28
2.4 Summary ................................ 32