Many interesting parameters in queue theory study either have not theoretical results or, existing, are mathematically intractable what makes their utility very scarce. In this case a possible issue is to use simulation methods in order to get more useful results. In this paper this procedure is followed to learn something more about quantities of interest for those infinite servers queue systems, in particular...
Jackson queuing networks have a lot of practical applications, mainly in human and technologic devices. For the first case, an example are the healthcare networks and, for the second, the computation and telecommunications networks. Evidently the time that one customer - a person, a job, a message … – spends in this kind of systems, its sojourn time, is an important measure of its performance, among others. In ...
DNA evidence use in problems of civil and criminal identifycation is becoming greater and greater. The necessity of evaluating the weight of that evidence may be accomplished using one of the most known powerful tools: the Bayesian networks. In the current paper this will be illustrated through the presentation of a civil identification problem and of a criminal identification problem.
Solving a Riccati equation a collection of service times distributions, very general, is determined. For it the M /G /∞ queue busy period and busy cycle probabilistic study, very comfortable, is performed. In addition the properties of that distributions collection are deduced and also presented.
Criminal identification problems are examples of situations in which forensic approach the DNA profiles study is a common procedure. In order to deal with these problems it is needed an introduction to present and explain the various concepts involved, since distinct areas must be considered. Some problems are presented and the use of the object-oriented Bayesian networks, example of probabilistic expert system...
It is proposed initially a diffusion process to represent a system subject to systematic ruin, with a stochastic regime of inflows and outflows of capital, establishing an analogy between this process and a pensions fund. Based the system in a periodic reflection scheme, it is valued the additional necessary financing to overcome the ruin. It is used, with this propose the Renewal Theorem for “renewal-reward” p...
The probabilistic fundaments for the evaluation of DNA evidences, based mainly on Bayes’ Law, are presented emphasizing the famous island problem. Identification problems are considered,in particular the paternity dispute problem and the crime scene analysis.
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