Data envelopment analysis (DEA) is a technique for performance evaluation of peer decision making units (DMUs). The network DEA models study the internal structures of DMUs. Using two-stage network structures as an example, the current paper examines additive efficiency decomposition where the overall efficiency is defined as a weighted average of stage efficiencies and the weights are used to ...

We study the problem of coalitional manipulation—where k manipulators try to manipulate an election on m candidates—under general scoring rules, with a focus on the Borda protocol. We do so both in the weighted and unweighted settings. For these problems, recent approaches to approximation tried to minimize k, the number of manipulators needed to make the preferred candidate win (thus assuming ...

We study the probabilistic behavior of continued fraction expansion a quadratic irrational number, when weighted by some “additive” cost. prove asymptotic Gaussian limit laws, with an optimal speed convergence. deal underlying dyn

We introduce additively-weighted straight skeletons as a new generalization of straight skeletons. An additively-weighted straight skeleton is the result of a wavefront-propagation process where, unlike in previous variants of straight skeletons, wavefront edges do not necessarily start to move at the begin of the propagation process but at later points in time. We analyze the properties of add...

In this paper, we prove some basic results for Cauchy dual of weighted composition operators. Also introduce new classes operators, called ?-hyponormal, ?-quasi-hyponormal, and provide necessary sufficient conditions MP-inverse operators on L2(?) to belong these classes. addition, study the complex symmetry types Moreover, examples are provided illustrate obtained results.

We consider weighted coupled cell networks, that is networks where the interactions between any two cells have an associated weight a real valued number. Weighted are ubiquitous in real-world applications. dynamical systems perspective by associating with each network set of continuous systems, ones respect graph structure network. For it natural for admissible to additive input structure. pres...