Resource allocation problems in data envelopment analysis with ‎simultaneous shared costs and common revenue

Document Type : Research Paper


1 Department of Industrial Engineering Faculty of Industrial Engineering South-Tehran Branch Islamic Azad University Tehran, Iran

2 Department of Industrial Engineering South Tehran Branch ‎ Islamic Azad University Tehran, Iran

3 Department of industrial engineering, University of Tehran


Allocating fixed shared cost and common revenue equitably to all decision making units (DMUs) ‎are two interesting issues in resource allocation using data envelopment analysis (DEA). The ‎existing methods have accomplished these distinctively. In this paper, we developed a single ‎dada envelopment analysis (DEA) approach for equitable allocation of shared costs to inputs and ‎common revenue to outputs, concurrently. The main contribution of this research in comparison ‎with existing methods are: 1) both allocation of shared costs to inputs and common revenue to ‎outputs are considered in a single model, simultaneously; 2) The computational efforts has been ‎reduced and no LP required to be solved; 3) simultaneous changes of inputs and outputs have ‎been considered in order to project a DMU towards efficient frontier. A numerical example, ‎adopted form literature, is presented and discussed in order to illustrate the applicability and ‎efficacy of proposed approach. ‎