Multi-Period DEA-R Efficiency for Decision Making Units Using Network Structure

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Purpose

 In this paper, P tage network that contains relative data is studied in different time periods and the aim is to evaluate the technical efficiency of such a structure in each time period and overall efficiency after several desired time periods. Also, the efficiency of each stage of such a structure is evaluated in each time period and after several time periods.

Method

 Considering a subsystem corresponding to each time period, we have a network system with a parallel structure of T subsystems, in which each subsystem consists of P processes connected in series. Using the proposed multi-period DEA-R model and also the mathematical relationships in overall efficiencies of  the overall system, subsystems and sub- processes, overall efficiency and the multi-period sub-processes efficiency of the system network are measured after several time periods and  in any time period.

Results

 Out of 10 decision units, units D and H were efficient after three time periods, unit D was efficient in the first and second time periods, and unit H was efficient in the third period.

Conclusion

 It has been shown that overall efficiency scores and the efficiency of each process obtained from this model after several desired time periods are higher than or equal to overall efficiency scores and the efficiency of each process in each time period.  Also, a unit becomes efficient after several periods of time if it is efficient in at least one period of time

Language:
English
Published:
Journal of Mathematical Extension, Volume:17 Issue: 6, Jun 2023
Page:
5
https://www.magiran.com/p2595860  
سامانه نویسندگان
  • Author (4)
    Shabnam Razavyan
    Associate Professor Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
    Razavyan، Shabnam
  • Author (5)
    Roohollah Abbasi Shureshjani
    Assistant Professor Management, Hazrat-E Masoumeh University, Qom, Iran
    Abbasi Shureshjani، Roohollah
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