Efficiency Frontier Ideal Distance Evaluation in Presence of Integer-Values in DEA by Directional Distance Function Approach

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FARHADI P.; ROSTAMY MALKHALIFEH M.; Kazemimatin R.

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Journal Paper

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Journal: International Journal of Industrial Mathematics Year:2022 | Volume:14 | Issue:4 Page(s): 457-465

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Title

Efficiency Frontier Ideal Distance Evaluation in Presence of Integer-Values in DEA by Directional Distance Function Approach

Author(s)

FARHADI P. | ROSTAMY MALKHALIFEH M. | Kazemimatin R. | Issue Writer Certificate

Keywords

Integer values

ciency

Frontier

Distance

Benchmark

Abstract

In conventional DEA methods, all inputs and outputs are assumed to be continuous. However, the implied presumption of continuous data may not maintain an acceptable level of precision in practical data. Many practical situations such as number of teachers in a school, number of students in a college, or research papers only take Integer values. Presented work presumes subsets of input and output variables in traditional , ve-pronged axioms in DEA model to be Integer values for the , rst time in the , eld. An additional e, ort in this work expands axioms and a new model is presented. This paper presents a novel two phase model that in the , rst phase produces more precise E, ciency values and the best Benchmark in its second phase, i. e. the nearest integer point to the E, ciency boundary is selected based on constant returns to scale. A case study is presented that demonstrates a comparison of E, ciency values obtained with this model compared to prior models that is show in table 1. And in Table 2, the values of the slack are compared with each other.

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APA: Copy

FARHADI, P., ROSTAMY MALKHALIFEH, M., & Kazemimatin, R.. (2022). Efficiency Frontier Ideal Distance Evaluation in Presence of Integer-Values in DEA by Directional Distance Function Approach. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 14(4), 457-465. SID. https://sid.ir/paper/1062821/en

Vancouver: Copy

FARHADI P., ROSTAMY MALKHALIFEH M., Kazemimatin R.. Efficiency Frontier Ideal Distance Evaluation in Presence of Integer-Values in DEA by Directional Distance Function Approach. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2022;14(4):457-465. Available from: https://sid.ir/paper/1062821/en

IEEE: Copy

P. FARHADI, M. ROSTAMY MALKHALIFEH, and R. Kazemimatin, “Efficiency Frontier Ideal Distance Evaluation in Presence of Integer-Values in DEA by Directional Distance Function Approach,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 14, no. 4, pp. 457–465, 2022, [Online]. Available: https://sid.ir/paper/1062821/en

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