An ellipsoidal frontier model: Allocating input via parametric DEA

Milioni, Armando Zeferino; Avellar, José Virgílio Guedes de; Gomes, Eliane Gonçalves; Mello, João Carlos Correia Baptista Soares de

doi:10.1016/j.ejor.2010.08.008

Cited by 35 publications

(8 citation statements)

References 20 publications

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“…Thus the allocation plan generated under the constraint of equation (4) must ensure all PTEs efficient. As mentioned above, the efficiency maximization is an important fixed input allocation principle in DEA, such as [1] and [14][15][16][17][18][19]. Therefore, the equation (4) provides a bridge between the efficiency and the profit, which can ensure the theoretical and practical values.…”

Section: Allocation Methodsmentioning

confidence: 99%

“…In DEA, the fixed input allocation problem is an important issue. When the fixed input is considered as an independent factor, efficiency invariance [9][10][11][12][13] and efficiency maximization [1] [14][15][16][17][18][19] are two common allocation principles. Apart from those strategies, there exist other methods while study the problem from different perspectives [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Allocating the transport subsidy based on the social contribution of public transport enterprises

Xie

Mita

Dai

et al. 2014

17th International IEEE Conference on Intelligent Transportation Systems (ITSC)

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An important problem in public transport is the allocation of transport subsidies among public transport enterprises (PTEs) fairly. The social contribution of the public transport industry is emphasized by governments because of its commonweal feature. This paper first defines the mathematical expression of the social contribution by utilizing multidimensional performance indicators, and deduces a set of constraints based on the proportional allocation concept (that is, the subsidy proportion allocated to each PTE should be equal to their social contribution proportion). The constraint set is the same as the efficient allocation set from the standpoint of data envelopment analysis. Then an allocation model is proposed by minimizing the maximum distance between the allocation plan preferred by the government administration department and our allocation plan. In general, the preferential allocation plan may be inconsistent with PTEs social contributions. Finally, a real example is presented to illustrate our approach.

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Section: Allocation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Allocating the transport subsidy based on the social contribution of public transport enterprises

Xie

Mita

Dai

et al. 2014

17th International IEEE Conference on Intelligent Transportation Systems (ITSC)

View full text Add to dashboard Cite

show abstract

“…Fang and Zhang (2008) allocated the resources by maximizing both the total efficiency score and individual efficiency scores. Milioni et al (2011) proposed an ellipsoidal frontier model for resource allocation. Li et al (2013) proved that all DMUs could be efficient with a common set of weights after the allocation, and they defined a satisfactory degree concept to obtain the final unique allocation.…”

Section: Introductionmentioning

confidence: 99%

Using common weights and efficiency invariance principles for resource allocation and target setting

Feng

Song

Dolgui

et al. 2017

International Journal of Production Research

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International audienceData envelopment analysis (DEA) has proven to be a useful technique for evaluating the relative performance of comparable and homogeneous decision-making units (DMUs). In recent years, DEA-based resource allocation and target setting approaches have gained more and more attention from both practitioners and academic researchers. In this paper, we propose a new mechanism to simultaneously adopt the principles of common weights and efficiency invariance in allocating multiple resources and setting multiple targets among DMUs. To obtain the final plan, we minimize the deviation between the possible plan based on common weights and another feasible plan emphasizing efficiency invariance. If the minimum deviation equals zero, one optimal plan will be determined. In general situations, however, the proposed approach will present two plans that have a non-zero deviation. One is generated by using a common set of weights for all DMUs in such a way that the change of efficiencies are minimized, while the other is generated by strictly keeping efficiency scores unchanged yet having similar or even identical weights on input-output measures for each DMU to the utmost extent. The efficacy and usefulness of the proposed approach are demonstrated using a numerical example from previous literature and an empirical application to an urban bus company in China

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“…By maximizing the average efficiency score of all DMUs, Beasley (2003) introduces an alternative DEA-based cost allocation method, which generates a unique solution. Under the assumption of maximizing each DMU's efficiency, several fixed cost allocation methods are proposed (Milioni et al, 2011(Milioni et al, , 2012Silva and Milioni, 2012;Hosseinzadeh Lotfi et al, 2013;Li et al, 2013;Si et al, 2013). In addition, Khodabakhshi and Aryavash (2012) assign the fixed cost among DMUs directly proportional to the inputs and inversely proportional to the outputs.…”

Section: Introductionmentioning

confidence: 99%

A DEA‐based method of allocating the fixed cost as a complement to the original input

Lin

Chen

2017

Int Trans Operational Res

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This paper focuses on the problem of how to divide a fixed cost as a complement to an original input among decision‐making units (DMUs) equitably. Using the data envelopment analysis (DEA) technique, this paper concerns the problem from the perspective of efficiency analysis. It is found that not all DMUs can become efficient under common weights if a low enough fixed cost is assigned. Therefore, the global modified additive DEA (MAD) model is introduced. By optimizing the global MAD‐efficiency, a new allocation method and the corresponding algorithm to ensure the uniqueness of the allocation result is designed. The proposed method can be used under both constant returns to scale and variable returns to scale for nonnegative data; it is suitable for the situation where the costs play a great role in the production of DMUs. Numerical results show the validity and advantages of our method.

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An ellipsoidal frontier model: Allocating input via parametric DEA

Cited by 35 publications

References 20 publications

Allocating the transport subsidy based on the social contribution of public transport enterprises

Allocating the transport subsidy based on the social contribution of public transport enterprises

Using common weights and efficiency invariance principles for resource allocation and target setting

A DEA‐based method of allocating the fixed cost as a complement to the original input

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