Unit:
Κατεύθυνση Στατιστική και Επιχειρησιακή ΈρευναLibrary of the School of Science
Author:
Tsoutsoulopoulou Panagiota
Supervisors info:
Αθανασία Μάνου Επίκουρη Καθηγήτρια Τμήμα Μαθηματικών ΕΚΠΑ
Original Title:
Literature Review on Data Envelopment Analysis and Applications
Translated title:
Literature Review on Data Envelopment Analysis and Applications
Summary:
Data Envelopment Analysis is a group of methods designed to evaluate the productivity
of organisations and businesses without the use of a priori assumptions. In this thesis we
will present a bibliographic review of some of the methods used in Data Envelopment
Analysis (DEA). Specifically, the CCR and BCC input and output oriented models,
along with their dual, two phased forms will be analyzed in detail. We will also present
certain models that deal with non-discretionary inputs, as well as categorical ones.
Lastly, we will present an application of the DEA models above in different Markov
queuing systems. using as input the number of servers and the capacity, and as outputs
the percentage of customers that enter the system, as well as the waiting ans sojourn
times.
In particular, Chapter 1 will contain simple examples that can be solved graphically.
Chapter 2 will present the CCR model. Chapter 3 will present the two phases of the
Dual CCR model along with both of the output-oriented CCR models. Chapter 4
will present all the corresponding BCC models. Chapter 5 will present some alterations
on the aforementioned DEA models, such as adding Categorical Variables. Finally,
Chapter 6 will contain an application of the above in Markov queuing systems.
Main subject category:
Science
Keywords:
Data Envelopment Analysis, Queue Theory, CCR model, BCC model, non-discretionary inputs, categorical variables
