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An Introduction to Data Envelopment Analysis [Paperback]

R Ramanathan (Author)
2.0 out of 5 stars  See all reviews (1 customer review)


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Book Description

August 18, 2003 076199761X 978-0761997610
From the Foreword:

'This book is an excellent tool for practitioners who are interested in the merits and pitfalls of the technique…. (The author's) research is an example of inventiveness, diligence and accuracy' - Freerk A. Lootsma, Delft Institute of Technology

Data envelopment Analysis is a Mathematical Programme for measuring performance efficiency of organizational units. The organizational units, termed as decision-making units (DMU) can be of any kind: manufacturing units, a set of schools, banks, hospitals, power plants, police stations, prisons, a set of firms etc.

DEA has been unsuccessfully applied to measure the performance efficiency of these different kinds of DMUs which share a common characteristic - that they are non-profit organization where measurement of performance efficiency is difficult.

DEA has been employed for assessing the relative performance of a set of firms that use a variety of identical inputs-say in the case of a school: quality of students, teachers, grants etc.,-to produce a variety of identical outputs-number of students who pass the final year, average grades obtained by the students in the final

year etc.

DEA assumes the performance of the DMUs by using the concepts of efficiency or productivity which is measured as the ratio of total outputs to total inputs. Also, the efficiencies estimated are relative to the best performing DMU or DMUs. The best performing DMU is given a score of 100% and the performance of other DMUs vary between 0 -100%.


Product Details

  • Paperback: 202 pages
  • Publisher: SAGE Publications Pvt. Ltd (August 18, 2003)
  • Language: English
  • ISBN-10: 076199761X
  • ISBN-13: 978-0761997610
  • Product Dimensions: 8.4 x 5.4 x 0.4 inches
  • Shipping Weight: 8.5 ounces
  • Average Customer Review: 2.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #3,340,270 in Books (See Top 100 in Books)

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7 of 7 people found the following review helpful:
2.0 out of 5 stars Too many typos, April 30, 2004
In this book, author not only lays the foundation of the technique of DEA effectively, but also dedicates a significant portion of the book to illustrate it through full-fledged applications implemented by the author himself. It covers the latest developments in this field and lists out resources. A "not-too-rigorous" mathematical treatment makes this book an easy rapid reading text. A chapter dedicated to do's and don'ts from the implementation point of view and solutions to the selected problems at the end of the book makes it very useful. The book emphasizes on practice rather than abstract theory.

The book though disappoints readers having a keen eye for details, due to a number of typographical errors, use of variables without defining them and inappropriate sequencing of problems within exercises and across chapters. The inadvertent insertion of technical details unnecessarily at numerous instances might distract or annoy readers. The matrix representation of the formulations need not have been left in the main body of the text. Similarly discussion on the non-Archimedean constant could have been extracted out to an appendix.

The author begins with very lucid and clear exposition of terms, concepts aided with graphical illustrations. He elucidates the applicability of DEA to Not-For-Profit organizations with reasoning and elaborates the underlying philosophy of DEA. The generalized mathematical formulation by first principles leading to formulation of fractional DEA program through a simple example elicits interest among readers. The CCR model laying the first stepping stone in the formal theory of DEA is immediately followed by dual DEA formulation which capitalize the interest aroused till then.

The relationship between output (input) maximizing (minimizing) multiplier DEA and the input (output) oriented envelopment DEA in chapter 2 could have been better illustrated through a solved example. The two-stage optimization procedure is yet another distraction which could have been avoided by taking it appendix as it is not used further in text. In the section on interpretation of dual, the example involving firms PQR & T is inserted unnecessarily which creates discontinuity and concludes in an adhoc fashion.

In line with the chronology of the theory of DEA, the concept of "economies of scale" is introduced subsequently in chapter 3, which includes basic concepts of CRS and VRS, technical and scale efficiencies, estimation of MPSS and their detailed investigation. This helps the reader understand the evolution of DEA to real life adaptation and its increasing acceptance. This chapter ends with ample examples for the reader to have a good grasp of the theory. This chapter introduces the BCC model quite succinctly backed by good references, but is plagued with a number of typographical errors. With this chapter, the basic theory and evolution of DEA during its foundation years is covered exhaustively and the text is fairly easy to understand as the shift to application of theory beyond this chapter. Besides a good understanding of the dual LP theory is a prerequisite to develop a sound foundation.

The variants of basic models and the recent developments have been covered in chapter 4 of the book which covers Multiplicative DEA models, Additive models, Window Analysis and Malmquist Productivity Index Approach. Similarly, variants in these models, such as use of non-discretionary input / output, treatment of categorical variables, incorporation of judgmental and subjective weights, are discussed. These models and variants are briefly introduced but examples for select few are illustrated. Examples for each type of variant could however have made the chapter more effective. The chapter ends with three exercise problems and a note for advanced readers on other DEA models which establishes its linkage with multi criteria decision making models. This evokes appreciation for utility of DEA extensions.

The best of the book lies in the chapter on computer support for DEA, wherein the computational features of DEA are taken into account along with the resources available in print and web media. DEA software is presented in the fifth chapter which is aptly detailed with finer implementation level details like compatibility with the OS, the embedded solver, limits on the size of the problem, interfacing with other common software etc. The format of data input, specification of variables, syntax of command, and snapshots of the various intermediate and final outputs along with their interpretation make very interesting and engaging reading. This is very helpful for readers who want to try out DEA. The software of varying degrees of robustness and complexity are demonstrated namely DEAP, EMS, GAMS formulation and Excel serving the vast range of readers on the spectrum of elementary to advanced level.

The chapter on DEA bibliography and application takes the reader to the world of "DEA in practice" which helps one understand the issues involved in problem formulation, implementation, sensitivity analysis of model, post DEA analysis, validation and reaffirmation of the results through techniques such as regression etc. The problems attempt to demonstrate full-fledged implementation which range from comparative performance of schools to productivity assessment of State transport undertakings in India, from comparative risk assessment of energy systems and energy efficiencies of transport modes in India to Carbon dioxide emissions of countries. This wide range of problems adds to the richness of the text especially when the studies have been carried out by the author himself.

The book concludes with a chapter on do's and don'ts for undertaking DEA studies. Some fundamental considerations enlisted for characterizing DMUs, selection of input/output and DEA model, post DEA procedures, strengths and weaknesses of DEA would enhance confidence of amateurs. The chapter climaxes with a graph clearly illustrating the severe limitation of DEA in case of DMUs having same peer members, leaving the reader wanting for more.

A book covering so much is expected to be shallow, but it makes easy reading and opens the doors to the field of DEA. The most notable feature of the book is its use of many small case studies, comprehensive bibliography and illustration of software usage. "DEA made simple" or "DEA in 24 hours" could have been more appropriate titles.

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Inside This Book (learn more)
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Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
envelopment program, envelopment version, state transport undertakings, productive scale size, multiplier program, multiplicative aggregation, data envelopment analysis, input minimizing, output maximizing, best achievable performance, fuel energy consumption, efficiency scores, fractional programs, power generation companies, optimal objective function value, efficiency frontier, frontier analysis, convexity constraint, regression exercise, input oriented, passenger kilometres, instruction file
Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Hague, Input Slack, Output Slack, Actual Output, University of Warwick, Solver Parameters, Increasing Returns, Bank of Boston, Final School Exam, Protestant Christian, Tons of Oil Equivalent, Excel Solver, Frontier Analyst, Increase Scores Rank, Portland State University, Proportion of Students Passing, Regional Guidebook, University of Dortmund, University of New England
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