Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys

The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.

From the reviews:

"Each chapter deals with a particular aspect of multicriteria optimization and is written by specialists in their field. ... Each chapter of this volume is understandable without reading a previous part of this book. ... A lot of special and actual aspects are presented in detail ... . this book is a comprehensive overview of MCDM problems and corresponding literature, especially of contributions since 1990. This reference book on multicriteria optimization can be highly recommended to students and researchers ... ." (Andreas Kleine, OR-News, March, 2005)