The Efficiency Measurement of Parallel Production Systems: A Non-radial Data Envelopment Analysis Model | Science Publications

Journal of Computer Science

A. B. Jaafar¹  M R.A. Bakar¹  A. Ashrafi¹  L. S. Lee¹ 

关键词: Data envelopment analysis;    decision making unit;    production possibility set;    parallel production system;    slacks-based measure;   

DOI  :  10.3844/jcssp.2011.749.756

学科分类：计算机科学（综合）

来源: Science Publications

【 摘 要 】

Problem statement: Data Envelopment Analysis (DEA) is a non-parametric technique formeasuring the relative efficiency of a set of production systems or Decision Making Units (DMU) thathave multiple inputs and outputs. Sometimes, DMUs have a parallel structure, in which systemscomposed of parallel units work individually; the sum of their own inputs/outputs is the input/output ofthe system. For this type of system, conventional DEA models treat each DMU as a black box andignore the performance of its units. Approach: This study introduces a DEA model in Slacks-BasedMeasure (SBM) formulation which considers the parallel relationship of the units within the system inmeasuring the efficiency of the system. Under this framework, the overall efficiency of the system isexpressed as a weighted sum of the efficiencies of its units. Results: As an SBM model, the proposedmodel is non-radial and is suitable for measuring the efficiency when inputs and outputs may changenon-proportionally. A theoretical result shows that if any unit of a parallel system is inefficient then thesystem is inefficient. Conclusion: This study introduces a non-radial DEA model, takes into accountthe operation of individual components within the parallel production system, to measure the overallefficiency as well as the efficiencies of sub-processes. This helps the decision makers recognizeinefficient units and make later improvements.

【 授权许可】

Unknown