|
Identify the status of returns to scale of the multi-period two-stage systems and efficiency decomposition
|
S. Esfidani   , F. Hosseinzadeh Lotfi , Sh. Razavyan |
| Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran |
|
|
Abstract: (618 Views) |
| In the present world, calculating the efficiency (or the performance) of systems with an internal structure, such as two-stage systems, is principally imperative during multi-time periods. In the present approach, the traditional two-stage Data Envelopment Analysis (DEA) model is developed to a multi-period two-stage DEA model, which evaluates the overall and periods of efficiencies synchronously. This approach which is used, is not only alone incapable of having functional capacities under the assumption of variable returns to scale (VRS), but is also inattentive to the importance or magnitude of data in different periods. In this study, in order to surmount these shortcomings, we expand the existing approaches and introduce a generalized model to measure the overall efficiency of a multi-period two-stage system under the VRS assumption, wherein, the importance of data in time- periods is considered in a diverse manner. According to this generalized model, theorems are also being presented to determine the type of returns to scale (RTS) of both stages, as well as the system of the entire time periods and also each period. Finally, the real data of Taiwanese non-life insurance companies, which has been extracted from the extant literature, is used to illustrate the proposed approach. |
|
| Keywords: Data Envelopment Analysis (DEA), Two stage system, Multi-Period, Multi-stage system, Returns to Scale |
|
|
Full-Text [PDF 697 kb]
(505 Downloads)
|
Type of Study: Research |
Subject:
Special
Received: 2023/05/12 | Accepted: 2023/09/14
|
|
|
|
|
|
|
| Send email to the article author |
|
|
|
| Add your comments about this article |
|
|
|
