Batch verification is a method to verify multiple signatures at once. There are two issues associated with batch verification. One is the security problem and the other is the computational speed. In 1998, Bellare et al. have proposed an approach called small exponents test, to preserve the security of batch verification of a digital signature algorithm (DSA) variant. In this letter, we propose...

We investigate several important issues regarding the random batch method (RBM) for second order interacting particle systems. first show uniform-in-time strong convergence of RBM systems under suitable contraction conditions when interaction kernels are regular. Second, we propose some variants that can have singular via a kernel splitting strategy, and numerically application such methods to ...

1 Department of Electrical Information Engineering, Faculty of Engineering, Yamagata University, Yonezawa, Yamagata 992-8510, Japan 2 Department of Ecological Engineering, Faculty of Engineering, Toyohashi University of Technology, Toyohashi, Aichi 441-8580, Japan 3 Department of Population Genetics, National Institute of Genetics, and the Graduate University for Advanced Studies, Mishima, Shiz...

batch sizing in different planning period is categorized as a classical problem in production planning, that so many exact & heuristic methods have been proposed to solve this problem, each of which considering various aspects of the original problem. the solution obtained from majority – e.g. mrp – is in this format that there may be some periods of idleness or each period should produ...

A shortcut procedure as quick, easy-to use method for design and simulation of multicomponent batch distillation is used to predict the operating condition of recovering xylene from solvent in an existing batch distillation column in benzol refinery. The procedure can be used to investigate the effect of the operating parameters on the operation of column for three possible modes of batch d...

The optimal operation of batch processes has attracted more attention in recent years since, in the face of growing competition, it is a natural choice for reducing production costs, improving product quality, and meeting safety requirements and environmental regulations. Since the models currently available in industry are poor and carry a large amount of uncertainty, standard model-based opti...