Degree Type

Dissertation

Date of Award

2002

Degree Name

Doctor of Philosophy

Department

Industrial and Manufacturing Systems Engineering

First Advisor

Timothy Van Voorhis

Abstract

Other than measuring relative efficiency, DEA (Data Envelopment Analysis) has been used in a number of other ways to elaborate further on the performance of individual units. Also researchers have developed methods for using DEA as a ranking model. We classified DEA ranking models into two categories based on whether preferences (weights) are given or not.;Since the ranking result from each model is determined by the characteristics each model has, it is important to understand these characteristics. This hopefully can help decision makers to make a better decision. In this dissertation, we analyze the characteristics of A-P (Andersen-Peterson) model and cross-efficiency evaluation in category 1, and cone-ratio and Wong and Beasley weight restrictions in category 2. Alternative models for measuring overall efficiency are proposed.;To better characterize ranking models, we define a new metric, the specialization index (SI), and propose using the Ak score in cross-efficiency evaluation to identify specialized DMUs. Also we examine the popular characterization on the 1st ranker of cross-efficiency evaluation and show that it is not always true. The fixed weighting nature of cross-efficiency evaluation is analyzed in the multiple-input, multiple-output situation analytically and empirically. Biplots are proposed as a method for comparing the characteristics of model with multiple inputs and/or outputs visually.;On the characteristics of cone-ratio weight restrictions, we suggest two properties (P1) and (P2). Property (P1) shows a way to measure the efficiency score when cone-ratio weight restrictions are applied under constant returns to scale with single-input, multiple-outputs. Based on this property, we propose some graphical explanations of other DEA issues.;We investigate the characteristics of Wong and Beasley weight restrictions and compare both their theoretical implications and empirical behavior with those of cone-ratio weight restrictions. We show that under Wong and Beasley weight restrictions, each DMU takes all different weight vectors and some DMUs may have limiting efficiency score.;Finally, we present alternative models for measuring each of overall efficiency (OE) with cone-ratio weight restrictions and compare with previous models using examples.

DOI

https://doi.org/10.31274/rtd-180813-117

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu

Copyright Owner

Sung-Kyun Choi

Language

en

Proquest ID

AAI3073439

File Format

application/pdf

File Size

150 pages

Share

COinS