A Method for Designing Optimal Systems for the Centralized Structures in DEA

Subject Areas : Statistics

Sh .Razavyan ¹

1 - Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran

Received: 2015-05-15 Accepted : 2015-12-16 Published : 2015-03-21

Keywords: DEA, درآمد, ساختار متمرکز, بودجه, سیستم بهینه,

Abstract :

This study designs optimal systems for the centralized structures in data envelopmentanalysis (DEA). It assumes that a collection of decision making units (DMUs) with a masterdecision maker and a certain budget for them is available and introduces an optimal systemfor each DMU by maximizing their total revenue. A nmerical example is used to illustrate theproposed model.

References:

[1] Charnes, A., W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making unit. European Journal of Operational Research, 2(1978) 429-444.

[2] Fang, Lei., Zhang, C.-Q., Resource allocation based on the DEA model. Journal of the Operational Research Society 59 (2008), 1136–1141.

[3] Korhonen, P., Syrjänen, M., Resource allocation based on efficiency analysis. Management Science, 50 (2004), 1134– 1144.

[4] J., Liang, L., Chen, Y., Bi, G., DEAbased production planning. Omega, 38, (2010) 105–112.

[5] Lozano, S., Villa, G., Centralized resource allocation using data envelopment analysis. Journal of Productivity Analysis, 22, (2004) 143–161.

[6] Wei QL and Chang TS, Optimal system design series-network DEA models. Journal of the Operational Research Society, 62((2011)), 1109–1119.

[7] Weia Q., Chang, DEA-type models for designing optimal systems and determining optimal budgets. Mathematical and Computer Modelling, 54 (2011) 2645–2658.