Abstract. Multiple-type branching processes that model the spread of infectious diseases are investigated. In these stochastic processes, the disease goes through multiple stages before it eventually disappears. We mostly focus on the critical multistage susceptible–infected–recovered (SIR) infection process. In the infinite-population limit, we compute the outbreak size distributions and show ...

multistage stochastic programming is a key technology for making decisions over time in an uncertain environment. one of the promising areas in which this technology is implementable, is medium term planning of electricity production and trading where decision makers are typically faced with uncertain parameters (such as future demands and market prices) that can be described by stochastic proc...

A review of the literature on cause selecting charts (CSCs) in multistage processes is given, with a concentration on developments which have occurred since 1993. Model based control charts and multiple cause selecting charts (MCSCs) are reviewed. Several articles based on normally and non-normally distributed outgoing quality characteristics are analyzed and important issues such as economic d...

To solve the problem that process capability optimization in multistage manufacturing processes has not been studied so much. Firstly, a multistage manufacturing process quality variation model is built to analyze the impaction of each stage quality on process capability. Then, a multistage manufacturing process capability analysis method with “Costutility ratio” is proposed to prioritize proce...

In this paper a general theory of multistage decimators and interpolators for sampling rate reduction and sampling rate increase is presented. A set of curves and the necessary relations for optimally 4esigning multistage decmators is also given. It is shown that the processes of declination and interpolation are duals and therefore the same set of design curves applies to both problems. Furthe...