This book offers new transparent views and step-by-step methods for
performance evaluation of a set of units using Data Envelopment
Analysis (DEA). The book has twelve practical chapters. Elementary
concepts and definitions are gradually built in Chapters 1-6 based
upon four examples of one input and one output factors, two input
factors, two output factors, and four input and three output
factors. Simultaneously, the mathematical foundations using linear
programming are also introduced without any prerequisites. A reader
with basic knowledge of mathematics and computers is able to
understand the contents of the book. In addition, to prevent
pre-judgment about the available concepts and definitions in the
DEA literature, some new phrases are introduced and, after
elucidating each phrase in detail in Chapters 1-6, they are
reintroduced for industry-wide accuracy in Chapter 7. After that,
some of the more advanced DEA topics are illustrated in Chapters
8-12, such as: production-planning problems, output-input ratio
analysis, efficiency over different time periods, Malmquist
efficiency indexes, and a delta neighborhood model. A clear
overview of many of the elementary and advanced concepts of DEA is
provided, including Technical Efficiency, Relative Efficiency,
Cost/Revenue/Profit Efficiency, Price/Overall Efficiency, the DEA
axioms, the mathematical background to measure technical efficiency
and overall efficiency, the multiplier/envelopment form of basic
DEA models in input/output-orientation, the multiplier/envelopment
of Additive DEA model, the multiplier/envelopment of slacks-based
models, and others. The book also covers a variety of DEA
techniques, input-output ratio analysis, the natural relationships
between DEA frontier and the ratio of output to input factors,
production-planning problems, planning ideas with a centralized
decision-making unit, context-dependent DEA, Malmquist efficiency
index, efficiency over different time periods, and others.
End-of-chapter exercises are provided for each chapter.
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