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**Measurement efficiency and productivity in SAS/OR.**
*(English)*
Zbl 1075.90025

Summary: This paper explores the use of the optimisation procedures in SAS/OR software with application to the measurement of efficiency and productivity of decision-making units (DMUs) using data envelopment analysis (DEA) techniques. DEA was originally introduced by A. Charnes, W. W. Cooper and E. Rhodes [Eur. J. Oper. Res. 2, 429–444 (1978; Zbl 0416.90080)] is a linear programming method for assessing the efficiency and productivity of DMUs. Over the last two decades, DEA has gained considerable attention as a managerial tool for measuring performance of organisations and it has widely been used for assessing the efficiency of public and private sectors such as banks, airlines, hospitals, universities and manufactures. As a result, new applications with more variables and more complicated models are being introduced.

Further to successive development of DEA a non-parametric productivity measure, Malmquist index, has been introduced by Fare et al. [J. Prod. Anal. 3, 85 (1992)]. Employing Malmquist index, productivity growth can be decomposed into technical change and efficiency change.

On the other hand, the SAS is a powerful software and it is capable of running various optimisation problems such as linear programming with all types of constraints. To facilitate the use of DEA and Malmquist index by SAS users, a SAS/MALM code was implemented in the SAS programming language. The SAS macro developed in this paper selects the chosen variables from a SAS data file and constructs sets of linear-programming models based on the selected DEA. An example is given to illustrate how one could use the code to measure the efficiency and productivity of organisations.

Further to successive development of DEA a non-parametric productivity measure, Malmquist index, has been introduced by Fare et al. [J. Prod. Anal. 3, 85 (1992)]. Employing Malmquist index, productivity growth can be decomposed into technical change and efficiency change.

On the other hand, the SAS is a powerful software and it is capable of running various optimisation problems such as linear programming with all types of constraints. To facilitate the use of DEA and Malmquist index by SAS users, a SAS/MALM code was implemented in the SAS programming language. The SAS macro developed in this paper selects the chosen variables from a SAS data file and constructs sets of linear-programming models based on the selected DEA. An example is given to illustrate how one could use the code to measure the efficiency and productivity of organisations.

### Keywords:

SAS; SAS/OR; DEA software; Linear programming; Malmquist index; Efficiency and productivity### Citations:

Zbl 0416.90080
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\textit{A. Emrouznejad}, Comput. Oper. Res. 32, No. 7, 1665--1683 (2005; Zbl 1075.90025)

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### References:

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[2] | Charnes, A.; Cooper, W.W.; Rhodes, E., Measuring the efficiency of decision making units, European journal of operations research, 2, 6, 429-444, (1978) · Zbl 0416.90080 |

[3] | Emrouznejad A. Ali Emrouznejad’s data envelopment analysis homepage, 1995-2003, http://www.deazone.com/. |

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[11] | Färe, R.; Grosskopf, Sh.; Lindgren, B.; Roos, P., Productivity changes in swedish pharmacies 1980-1989a non-parametric Malmquist approach, Journal of productivity analysis, 3, 85-101, (1992) |

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[13] | Emrouznejad A. An Extensive Bibliography of Data Envelopment Analysis (DEA), Business School, University of Warwick, Coventry, UK, (available at: http://www.deazone.com/cgi-bin/papers/Bib-vol1_5.zip), 2000. |

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