In real-world applications, costs for products are not deterministic: neither static nor dynamic. They actually tend to be non-stationary and cross-correlated. To overcome this drawback, there have been some efforts by researchers to extend the Wagner–Whitin algorithm to consider stochastic costs. However, they assume that the information of probability density function of random costs exists. ...

Active fault diagnosis can improve the diagnosability of potential faults by injecting a suitable input into the system. This input can be designed using either a stochastic or a deterministic framework. The stochastic approach aims to maximize the probability of a correct diagnosis at a certain time, whereas the deterministic approach aims to guarantee diagnosis within a certain time interval....

An automaton model used for validation and type checking with languages defined using R2G2 [1] is presented. First, tree-shaped data is considered to be handled by the automaton model, then the approach is extended to graph shaped data. The presented approach is based on specialized non-deterministic finite state automata. The specialisation copes with unranked tree shaped data. Graph shaped da...

Abstract We consider the reconstruction of moving sources using partial measured data. A two-step deterministic-statistical approach is proposed. In first step, an approximate direct sampling method developed to obtain locations at different times. Such information coded in priors, which critical for success Bayesian second step. The well-posedness posterior measure analyzed sense Hellinger dis...