Resource allocation: A common set of weights model

Sedighe Asghariniya, ,Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran, Hamed Zhiani Rezai, Saeid Mehrabian, ,Department of Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, Iran
2019 Numerical Algebra, Control and Optimization  
Allocation problem is an important issue in management. Data envelopment analysis (DEA) is a non-parametric method for assessing a set of decision making units (DMUs). It has proven to be a useful technique to solve allocation problems. In recent years, many papers have been published in this regard and many researchers have tried to find a suitable allocation model based on DEA. Common set of weights (CSWs) is a DEA model which, in contrast with traditional DEA models, does not allow
more » ... not allow individual weights for each decision making unit. In this manner, all DMUs are assessed through choosing a same set of weights. In this article, we will use the weighted-sum method to solve the multi-objective CSW problem. Then, via introducing a set of special weights, we will connect the CSW model to a non-linear (fractional) CSW model. After linearization, the proposed model is used for allocating resources. To illustrate our model, some examples are also provided. 2010 Mathematics Subject Classification. Primary: 58F15, 58F17; Secondary: 53C35.
doi:10.3934/naco.2020001 fatcat:zid7wrwqmbeg7a3w6ttw4bbtde