Abstract
This chapter describes the mathematical foundations for performance expressed as an efficiency computation based on the underlying relationship between inputs and outputs, often described as productivity. It shows an increasing use of the mathematical application known as DEA, from the necessity in early days to develop a measurement tool for application in organizations which do not have a profit-driven mission yet need to operate according to principles of business efficiency. The distinction of these organizations from the more conventional commercial ventures is not only the absence of profit-driven strategies but the explicit enunciation of other less tangible objectives, often conveyed in the corporate vision statement. The tenet of this book is that if performance can be measured under the conditions of not-for-profit, how much better would such a measure be for those organizations that have the added luxury of financial and other tangible metrics.
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Notes
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1 This has been addressed in the most recent models so that “more is worse” can be an output factor. For example, pollution generated in a production process fits this reality.
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2 Pareto optimality is a measure of efficiency from game theory where each player’s outcome is optimal with at least one player better, and the outcomes cannot be improved without at least one player becoming worse off.
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3 The Additive model (Charnes, Cooper, Golany, Seiford and Stutz 1985) extends the basic CCR model to take into account Pareto-Koopmans Efficiency which states that a DMU is fully efficient only if it is not possible to improve any input or output at the expense of some other.
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4 Slack based measures augment the Additive model to make measures ‘invariant’ i.e. dimension-free, so that the unit of measurement becomes a single scalar
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© 2009 Physica-Verlag Heidelberg
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Manzoni, A., Islam, S.M. (2009). DEA: Theory, Methods and Applications. In: Performance Measurement in Corporate Governance. Contributions to Management Science. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2170-3_4
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DOI: https://doi.org/10.1007/978-3-7908-2170-3_4
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Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-7908-2169-7
Online ISBN: 978-3-7908-2170-3
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