6 papers
A Specific Queue System Busy Period and Busy Cycle Distributions and Parameters
Manuel Alberto M. Ferreira
Solving a Riccati equation, induced by the study of the transient behaviour of the MGInf queue system, a collection of service times distributions is determined. For the MGInf queu…
Queue Busy Cycle Renewal Function
Manuel Alberto M. Ferreira
We present formulas to compute the busy cycle renewal function for the queue and exemplify for some service time distributions. The busy cycle renewal function value i…
Considerations on Queue Busy Period Variance
Manuel Alberto M. Ferreira
Some important results on the variance of the queue busy period are presented. Often, this parameter depends on the whole structure of the service time distribution. S…
Queue Parameters Values Approximation Through a Markov Renewal Process
Manuel Alberto M. Ferreira
Some queue systems parameters values approximations, obtained through the consideration of an adequate Markov renewal process, are presented, and studied.
Poisson Arrivals, Exponential Service Time, and Infinite Servers Queue Busy Period and Busy Cycle Distribution Function Bounds
Manuel Alberto M. Ferreira
The busy period length distribution function knowledge is important for any queue system, and for the MGINF queue. But the mathematical expressions are in general very complicated,…
Study about a Differential Equation in an Infinite Servers Queue System with Poisson Arrivals Busy Cycle Distribution Study
Manuel Alberto M. Ferreira
In the infinite servers queue with Poisson arrivals real life practical applications, the busy period and the busy cycle probabilistic study is of main importance. But it is a very…