Evaluation of Cross efficiency in secondary schools of Sarab city with the variable returns to scale and constant returns to Scale
Subject Areas : Operation Management
صبا صادقی گاوگانی
1
*
,
akbar valizadeh oghani
2
1 - : Department of Mathematics, Sara.C., Islamic Azad University, Sarab, Iran.
2 - Department of Management, Sara.C., Islamic Azad University, Sarab, Iran.
Keywords: Data envelopment analysis, Decision making unit, cross-efficiency, return to scale.,
Abstract :
One of the main problems of DEA is the flexibility in choosing input-output weights, which leads to the selection of unfair weights. To solve this problem, the cross-efficiency method is proposed with the aim of calculating the efficiency score through peer evaluation and self-evaluation, which is also important for ranking units. The present study is applied and descriptive in nature in terms of purpose and has developed a cross-efficiency evaluation approach under fixed returns to scale and variable returns to scale in the second-cycle secondary schools of Sarab city. The required data were extracted from the opinions of experts and the school library archives in the academic year 1401-1402. GAMS software was used to analyze the data. The results show that Asbfuroshan Girls' High School was selected as the most efficient unit in terms of fixed and variable scale efficiency. In comparing the efficiency scores for all schools, we concluded that Aberghan, Shahid Ghazi, and Kalyan schools ranked second, third, and fourth, respectively, in evaluating cross-efficiency by variable-scale returns, and Shahid Ghazi, Kalyan, and Aberghan schools ranked third and fourth, respectively, in evaluating cross-efficiency by fixed-scale returns. In both cases of constant and variable returns to scale, the cross-efficiency method has almost the same results, but in most cases, the variable returns to scale method displays the ranking results more realistically and logically.
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