國立虎尾科技大學 |

Data Envelopment Analysis models for a mixture of non-ratio and ratio variables.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Data Envelopment Analysis models for a mixture of non-ratio and ratio variables./
Author:	Sigaroudi, Sanaz.
Description:	1 online resource (169 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.
Subject:	Operations research. -
Online resource:	click for full text (PQDT)
ISBN:	9780355488081

Data Envelopment Analysis models for a mixture of non-ratio and ratio variables.
Sigaroudi, Sanaz.

Data Envelopment Analysis models for a mixture of non-ratio and ratio variables. - 1 online resource (169 pages)

Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.

Thesis (Ph.D.)--University of Toronto (Canada), 2016.

Includes bibliographical references

Performance comparison is a delicate business, even among organizations of the same kind. The simplest of all is usually the ratio of a single output to a single input. The problem lies in the fact that one aspect of the business could hardly represent the whole picture and the landscape the business is operating in. Businesses have complex structures and oer variety of products so it is only fair to take all into consideration to judge their performance against others in an industry. Data Envelopment Analysis (DEA) is one method suitable when there are multiple inputs and outputs to be considered. It is a non-parametric method conceptualized by Farrell in 1957. However, it was not untill 20 years later, that Charnes, Cooper and Rhodes brought this concept into practice by finding a way to realize this idea and make it work. The breakthrough came from the fact that under certain assumptions Farrell's idea could be formulated as a linear mathematical program (LP) which could be solved using the simplex and similar methods. One limitation of the existing DEA models is their inability to work with ratio variables because the linear combination of DMUs do not generally translate to linear combination of inputs and outputs in the ratio form. In this work, our contribution to the field includes extending Farrell's idea to include ratio inputs and outputs and operationalizing four models under variable returns to scale assumption. Three non-oriented models are formulated and linearized and one non-linear model is solved using a heuristic.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355488081Subjects--Topical Terms:

573517
Operations research.
Index Terms--Genre/Form:

554714
Electronic books.

Data Envelopment Analysis models for a mixture of non-ratio and ratio variables.
LDR:02752ntm a2200337K 4500 001 915093
005 20180727091509.5
006 m o u
007 cr mn||||a|a||
008 190606s2016 xx obm 000 0 eng d
020 $a 9780355488081
035 $a (MiAaPQ)AAI10187944
035 $a (MiAaPQ)toronto:13393
035 $a AAI10187944
040 $a MiAaPQ $b eng $c MiAaPQ
100 1 $a Sigaroudi, Sanaz. $3 1188335
245 1 0 $a Data Envelopment Analysis models for a mixture of non-ratio and ratio variables.
264 0 $c 2016
300 $a 1 online resource (169 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.
500 $a Adviser: Joseph C. Paradi.
502 $a Thesis (Ph.D.)--University of Toronto (Canada), 2016.
504 $a Includes bibliographical references
520 $a Performance comparison is a delicate business, even among organizations of the same kind. The simplest of all is usually the ratio of a single output to a single input. The problem lies in the fact that one aspect of the business could hardly represent the whole picture and the landscape the business is operating in. Businesses have complex structures and oer variety of products so it is only fair to take all into consideration to judge their performance against others in an industry. Data Envelopment Analysis (DEA) is one method suitable when there are multiple inputs and outputs to be considered. It is a non-parametric method conceptualized by Farrell in 1957. However, it was not untill 20 years later, that Charnes, Cooper and Rhodes brought this concept into practice by finding a way to realize this idea and make it work. The breakthrough came from the fact that under certain assumptions Farrell's idea could be formulated as a linear mathematical program (LP) which could be solved using the simplex and similar methods. One limitation of the existing DEA models is their inability to work with ratio variables because the linear combination of DMUs do not generally translate to linear combination of inputs and outputs in the ratio form. In this work, our contribution to the field includes extending Farrell's idea to include ratio inputs and outputs and operationalizing four models under variable returns to scale assumption. Three non-oriented models are formulated and linearized and one non-linear model is solved using a heuristic.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Operations research. $3 573517
650 4 $a Industrial engineering. $3 679492
650 4 $a Management. $3 558618
655 7 $a Electronic books. $2 local $3 554714
690 $a 0796
690 $a 0546
690 $a 0454
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Toronto (Canada). $b Mechanical and Industrial Engineering. $3 845502
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10187944 $z click for full text (PQDT)