MHB Help in determining the type of distribution

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The discussion centers on identifying the type of distribution for a queue of requests that arrive at varying rates throughout the day. Participants explore whether the situation can be modeled as a Poisson process, noting that a Poisson process assumes a constant average rate of arrival, which may not apply here due to the fluctuating request rates. The conversation highlights the need to consider alternative distributions that account for the non-uniform arrival rates, such as a non-homogeneous Poisson process or other queuing models. Additionally, the importance of analyzing the specific arrival patterns and time intervals is emphasized to determine the most suitable distribution. Understanding the correct distribution is crucial for optimizing queue management and service efficiency.
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I have a queue of request that every during a day some requests arrive in a queue to be served. but, the rate of request's arrival is different in each hour.
I would appreciate that if somebody tells me what kind of distribution the problem is ?
 
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Re: help in determine what kind of Distribution is that

Why is it not still a Poisson Process?
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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