Handbook of critical issues in goal programming. (English) Zbl 0817.68034

Oxford etc.: Pergamon Press, Inc. XII, 124 p. £39.00 /hc (1991).
The book is organized in the following way. Chapter 1 gives an introductory overview of GP and other related MCDM approaches. Chapter 2 deals with one of the seemingly main weakness of GP: the inherent capacity of the approach to generate nonefficient solutions. Chapter 3 present certain topics which can lead to poor modelling practices in GP: the possible equivalence of solutions between GP and linear programming models, the logical status of the achievement function, the logical structure of a goal, the unnecessary inclusion of two-sided goals, the setting of weights and the real implications of the incompatibility of lexicographic orderings and utility functions. In Chapter 4 the problem of redundancy in lexicographic GP is thoroughly analysed. Chapter 5 is dedicated to the analysis of certain hidden nonlinearities in GP models produced as a result of the implementation of some seemingly correct mathematical manipulations to nonlinear goals such as fractional or polynomial ones. In Chapter 6 GP with penalty functions is commented on through the analysis of correct and incorrect devices used in the literature to formulate these kinds of models. Chapter 7 makes a comparative study of GP and other related MCDM approaches such as multiobjective programming and compromise programming. Finally, Chapter 8 seeks to provide a single sources of reference of GP applications. In the survey the papers appear categorized according to the GP variant used and to its area of application. Special attention is paid to applications in agricultural economics and natural resources. Handbook of Critical Issues in Goal Programming has not been designed as a textbook on GP nor as a book expanding on it. Indeed, many topics, such as algorithms for the solution of lexicographic GP models, or GP extensions such as interactive methods, duality, etc., usually covered in a GP text are not found in this book. We may say that this book seeks to be a complement to existing textbooks on GP. It can 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.


68N01 General topics in the theory of software
68-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to computer science