Romero Handbook of Critical Issues in Goal Programming

1. Auflage 2014
ISBN: 978-1-4832-9511-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 136 Seiten, Web PDF

Goal Programming (GP) is perhaps the oldest and most widely used approach within the Multiple Criteria Decision Making (MCDM) paradigm. GP combines the logic of optimisation in mathematical programming with the decision maker's desire to satisfy several goals. The primary purpose of this book is to identify the critical issues in GP and to demonstrate different procedures capable of avoiding or mitigating the inherent pitfalls associated with these issues. The outcome of a search of the literature shows many instances where GP models produced misleading or even erroneous results simply because of a careless formulation of the problem. Rather than being in itself a textbook, Critical Issues in Goal Programming is designed to complement existing textbooks. It will be useful to students and researchers with a basic knowledge of GP as well as to those interested in building GP models which analyse real decision problems.

Autoren/Hrsg.

Romero, C.

Inhaltsverzeichnis

1;Front Cover;1
2;Handbook of Critical Issues in Goal Programming;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedication;6
6;Preface;10
7;Acknowledgements;13
8;Chapter 1. An Introductory Overview of Goal Programming (GP) and some Related Multiple Criteria Decision Making (MCDM) Approaches1;14
8.1;1. Some Basic Concepts;14
8.2;2. Goal Programming;15
8.3;3. Multiobjective Programming;18
8.4;4. Compromise Programming;20
8.5;5. A Concluding Remark;22
8.6;Bibliographical Notes;23
8.7;References;24
9;Chapter 2. Paretian Efficiency in Goal Programming (In collaboration with Tahir Rehman);26
9.1;1. An Introduction to the Problem;26
9.2;2. A Test of Efficiency in GP;27
9.3;3. Generation of a Set of GP-Efficient Solutions: Hannan's Procedure;30
9.4;4. A General Framework for Solving GP Models Avoiding Inferior Solutions;32
9.5;5. An Illustrative Case of Dominated Solutions in LGP;34
9.6;6. Concluding Remarks;36
9.7;Bibliographical Notes;36
9.8;References;37
10;Chapter 3. Good and Poor Modelling Practices in Goal Programming;38
10.1;1. An Introduction to the Problem;38
10.2;2. Equivalence of Solutions between GP and LP Models;39
10.3;3. Logical Structure of an Achievement Function;42
10.4;4. Logical Structure of a Goal;44
10.5;5. Unnecessary Inclusion of Two-sided Goals;47
10.6;6. Naive Setting of Weights in GP;48
10.7;Annex: Utility Functions and LGP;56
10.8;Bibliographical Notes;59
11;Chapter 4. Naive Prioritization and Redundancy in LGP1 (In collaboration with Francisco Amador);63
11.1;1. An Introduction to the Problem;63
11.2;2. Redundant Goals and Lexicographic Optimization;64
11.3;3. Redundancy in the LGP Literature;68
11.4;4. Conclusions;71
11.5;Bibliographical Notes;72
11.6;References;73
12;Chapter 5. Hidden Nonlinearities in Linear Goal Programming Models1;74
12.1;1. An Introduction to the Problem;74
12.2;2. Direct Linearization of Fractional Goals;75
12.3;3. The Soyster, Lev and Hannan Test;77
12.4;4. Linearization of Posynomial Goals by Logarithmic Transformations;80
12.5;5. Logarithmic Transformations and Geometric Average Utility Functions;82
12.6;Bibliographical Notes;84
12.7;References;85
13;Chapter 6. Goal Programming with Penalty Functions;87
13.1;1. An Introduction to the Problem;87
13.2;2. The U-Shaped Penalty Function and the Double Counting Effect;89
13.3;3. Some Methods to Remove the Double Counting Effect;91
13.4;4. An Illustrative Example;93
13.5;Bibliographical Notes;97
13.6;References;98
14;Chapter 7. Relationship between Goal Programming (GP), Multiobjective Programming (MOP) and Compromise Programming (CP);99
14.1;1. An Introduction to the Problem;99
14.2;2. Mathematical Programming and Distance Function Models;99
14.3;3. The Links between GP, MOP and CP;102
14.4;4. Concluding Remarks;105
14.5;Bibliographical Notes;107
14.6;References;107
15;Chater 8. GP Applications: A Categorized Bibliographical Survey;108
15.1;1. Introduction;108
15.2;2. Classification Scheme;109
15.3;3. Agricultural and Natural Resources Planning and GP;110
15.4;4. An Assessment;112
15.5;References not included in the categorized bibliography;112
16;Chapter 9. A Categorized Bibliography on GP Applications;119
17;Chapter 10. Epilogue;134
17.1;References;135
18;Index;136