output
20032026
most citedStationary Black Holes: Uniqueness and Beyond

522 citations

Showing 2021 · math.PRShow all

7 papers · 2 filters

math.PR2021★ 1 cited

Networks of Queues Models with Several Classes of Customers and Exponential Service Times

Manuel Alberto M. Ferreira

The main target of this paper is to present the Markov chain C that, not giving explicitly the queue lengths stationary probabilities, has the necessary information to its determin…

math.PR2021★ 3 cited

Stochastic Processes in Networks of Queues with Exponential Service Times and only one Class of Customers

Manuel Alberto M. Ferreira

Two networks of queues models, presented initially by Jackson, in the open case, and Gordon and Newell, in the closed case, stochastic processes are presented and studied in some o…

math.PR2021

Infinite Servers with Poisson Arrivals Queue Busy Period with PME Distribution

Manuel Alberto M. Ferreira

In this article it is shown that if the busy period of a MGinf queue system is PME distributed, the service time is a random variable with a long tail distribution. The result is o…

math.PR2021★ 11 cited

Studying Pensions Funds Through an Infinite Servers Nodes Network: A Theoretical Problem

Manuel Alberto M. Ferreira, Marina Andrade, José António Filipe

This study intends to present a representation of a pensions fund through a stochastic network with two infinite servers nodes. With this representation it is allowed to deduce an…

math.PR2021★ 2 cited

The Age or Excess of the MGinf Queue Busy Cycle Mean Value

Manuel Alberto M. Ferreira, Marina Andrade, José António Filipe

In this work, approximate and exact results concerning a performance measure of the MGinf system, the age or the excess of the busy cycle, are presented. It will be seen that it is…

math.PR2021

Some notes on a semi-Markov matrix occurring in the MMinf queue parameters study

Manuel Alberto M. Ferreira

The main objective of this work is to present a process to compute the Markov renewal matrix for Markov renewal processes with countable infinite spaces, which semi-Markov matrixes…

math.PR2021

QUEUE, with Poisson arrivals, constant service time and infinite servers, BUSY PERIOD DISTRIBUTION

Manuel Alberto M. Ferreira

The queue system,with Poisson arrivals,constant service time and infinite servers, busy period distribution is intensively studied because, due to its probability density function…