In this paper we first (trivially) show that data envelopment analysis can be viewed as maximising the sum of the efficiencies of the decision-making units (DMU's) in the organisation. Building upon this we present nonlinear models for: (a) allocating fixed costs to DMU's and (b) allocating resources to DMU's. Simultaneous to allocating resources output targets are also decided for each DMU. Nu...

Data envelopment analysis (DEA), as originally proposed, is a methodology for evaluating the relative efficiencies of a set of homogeneous decision-making units (DMUs) in the sense that each uses the same input and output measures (in varying amounts from one DMU to another). In some situations, however, the assumption of homogeneity among DMUs may not apply. As an example, consider the case wh...

Reduction of cycles (development time, series lead time) and costs along the aircraft lifecycle is a permanent priority. Concurrent engineering aims at enabling this reduction, by putting together in a multidisciplinary way of working all the relevant skills contributing to product engineering, and by setting and managing the operational conditions for work in parallel. It is mainly a question ...

In many applications, ranking of decision making units (DMUs) is a problematic technical task procedure to decision makers in data envelopment analysis (DEA), especially when there are extremely efficient DMUs. In such cases, many DEA models may usually get the same efficiency score for different DMUs. Hence, there is a growing interest in ranking techniques yet. The purpose of this paper is ra...

We establish global regularity results for a wide class of non-linear higher order parabolic systems. The model problem we have in mind is the parabolic p-Laplacian system of order 2m, m≥ 1, ∂tu+(−1) divm (|Dmu|p−2Dmu) = 0 with prescribed boundary and initial values. We prove that if the boundary values are sufficiently regular, then Dmu is globally integrable to a better power than the natural...

Data envelopment analysis (DEA) measures relative efficiency among the decision making units (DMU) without considering noise in data. The least efficient DMU indicates that it is in the worst situation. In this paper, we measure efficiency of individual DMU whenever it losses the maximum output, and the efficiency of other DMUs is measured in the observed situation. This efficiency is the minim...

The inefficient DMUs are usually arranged after the technical efficient ones by DEA methods, however, it is possible that a technical efficient DMU neither be efficient nor be more efficient than some inefficient ones. This study distinguishes between the terms ‘technical efficiency’ and ‘efficiency’ and demonstrates that the technical efficiency is a necessary condition for being efficient and...