This paper addresses several mechanisms for overall ranking Decision Making Units (DMUs) according to the contribution of DMUs relative efficiency score a merger considering aggregate units The possible organization agents outside each naturally influences score, which motivates use games in partition function form and specific indices based on Shapley value. Several computational problems aris...

Data envelopment analysis (DEA) is a powerful tool for measuring the relative efficiencies of a set of decision making units (DMUs) such as schools and bank branches that transform multiple inputs to multiple outputs. In centralized decision-making systems, management normally imposes common resource constraints such as fixed capital, budgets for operating capital and staff count. In consequenc...

We study minimal energy interpolation, discrete and penalized least squares approximation problems on the unit sphere using nonhomogeneous spherical splines. Several numerical experiments are conducted to compare approximating properties of homogeneous and nonhomogeneous splines. Our numerical experiments show that nonhomogeneous splines have certain advantages over homogeneous splines.

Cook and Zhu (2007) extend the DEA structure to apply to the more general setting where DMUs fall into distinct groups whose members experience similar circumstances. As these authors state, in those cases the DMUs of a group are to be treated uniformly in terms of multiplier allocation. In the same contextual setting, the present paper proposes a DEA-based approach which is primarily focused o...

Network data envelopment analysis (NDEA), one of the most important branches recent DEA developments, has been developed for examining decision making units (DMUs) a system with complex and internal component divisions. In this study we apply maximin strategy to network at two levels. At individual DMU level, evaluate system’s performance by maximizing minimum divisions efficiencies, which is b...

Data Envelopment Analysis appeared in 1978 when the first model, known as CCR was proposed by Charnes et al. (1978). This model calculates the efficiency of productive units, known as DMUs Decision Making Units, by comparing the use of resources (inputs) and the production (outputs) obtained. This model considers Constant Returns to Scale (CRS), i.e., an increase in resources generates a propor...

There has been an ever growing concern to measure efficiency of decision making units (DMUs). Parametric approaches have been the popular methods for measuring the same. Data Envelope Analysis (DEA) is an addition in this domain. This paper is an attempt to understand the concept of DEA approach. DEA is a Linear Programming Problem that provides a means of calculating apparent efficiency levels...

Abstract The secondary goal approach is an effective way to address the problem of non-uniqueness optimal weights for decision-making units (DMUs) in cross-efficiency evaluation process data envelopment analysis (DEA). However, on one hand, existing secondary-goal models seldom consider willingness DMUs accept and be satisfied with results DEA. On other zero excessive differences indicators has...

Abstract In contrast to classical data envelopment analysis (DEA), network DEA has attention the internal structure of a production system and reveals relationship between efficiency efficiencies processes. However, flexibility weights need for crisp input output in evaluation process are two major shortcomings models. This paper presents common approach relational model fuzzy environment measu...

in this paper, the interface crack of two non-homogenous functionally graded materials is studied. subsequently, with employing the displacement method for fracture of mixed-mode stress intensity factors, the continuous variation of material properties are calculated. in this investigation, the displacements are derived with employing of the functional graded material programming and analysis o...